Unified Fractional Kinetic Equation and a Fractional Diffusion Equation
Abstract In earlier papers Saxena et al. (Saxena, R.K., Mathai, A.M. and Haubold, H.J., Astrophys. Space Sci. 2002, 282, 281–287; manuscript submitted for publication) derived the solutions of a number of fractional kinetic equations in terms of generalized Mittag-Leffler functions which extended th...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Saxena, R.K. [verfasserIn] |
|---|
| Format: |
Artikel |
|---|---|
| Sprache: |
Englisch |
| Erschienen: |
2004 |
|---|
| Schlagwörter: |
|---|
| Anmerkung: |
© Kluwer Academic Publishers 2004 |
|---|
| Übergeordnetes Werk: |
Enthalten in: Astrophysics and space science - Kluwer Academic Publishers, 1968, 290(2004), 3-4 vom: März, Seite 299-310 |
|---|---|
| Übergeordnetes Werk: |
volume:290 ; year:2004 ; number:3-4 ; month:03 ; pages:299-310 |
| Links: |
|---|
| DOI / URN: |
10.1023/B:ASTR.0000032531.46639.a7 |
|---|
| Katalog-ID: |
OLC2066240575 |
|---|
| LEADER | 01000caa a22002652 4500 | ||
|---|---|---|---|
| 001 | OLC2066240575 | ||
| 003 | DE-627 | ||
| 005 | 20230502213401.0 | ||
| 007 | tu | ||
| 008 | 200820s2004 xx ||||| 00| ||eng c | ||
| 024 | 7 | |a 10.1023/B:ASTR.0000032531.46639.a7 |2 doi | |
| 035 | |a (DE-627)OLC2066240575 | ||
| 035 | |a (DE-He213)B:ASTR.0000032531.46639.a7-p | ||
| 040 | |a DE-627 |b ger |c DE-627 |e rakwb | ||
| 041 | |a eng | ||
| 082 | 0 | 4 | |a 520 |a 530 |a 620 |q VZ |
| 084 | |a 16,12 |2 ssgn | ||
| 100 | 1 | |a Saxena, R.K. |e verfasserin |4 aut | |
| 245 | 1 | 0 | |a Unified Fractional Kinetic Equation and a Fractional Diffusion Equation |
| 264 | 1 | |c 2004 | |
| 336 | |a Text |b txt |2 rdacontent | ||
| 337 | |a ohne Hilfsmittel zu benutzen |b n |2 rdamedia | ||
| 338 | |a Band |b nc |2 rdacarrier | ||
| 500 | |a © Kluwer Academic Publishers 2004 | ||
| 520 | |a Abstract In earlier papers Saxena et al. (Saxena, R.K., Mathai, A.M. and Haubold, H.J., Astrophys. Space Sci. 2002, 282, 281–287; manuscript submitted for publication) derived the solutions of a number of fractional kinetic equations in terms of generalized Mittag-Leffler functions which extended the work of Haubold and Mathai (2000). The object of the present paper is to investigate the solution of a unified form of fractional kinetic equation in which the free term contains any integrable function f(t), which provides the unification and extension of the results given earlier recently by Saxena et al. (Saxena, R.K., Mathai, A.M. and Haubold, H.J., Astrophys. Space Sci. 2002, 282, 281–287; manuscript submitted for publication). The solution has been developed in terms of the Wright function in a closed form by the method of Laplace transform. Further we derive a closed-form solution of a fractional diffusion equation. The asymptotic expansion of the derived solution with respect to the space variable is also discussed. The results obtained are in a form suitable for numerical computation. | ||
| 650 | 4 | |a Fractional Derivative | |
| 650 | 4 | |a Fractional Calculus | |
| 650 | 4 | |a High Transcendental Function | |
| 650 | 4 | |a Fractional Diffusion Equation | |
| 650 | 4 | |a Wright Function | |
| 700 | 1 | |a Mathai, A.M. |4 aut | |
| 700 | 1 | |a Haubold, H.J. |4 aut | |
| 773 | 0 | 8 | |i Enthalten in |t Astrophysics and space science |d Kluwer Academic Publishers, 1968 |g 290(2004), 3-4 vom: März, Seite 299-310 |w (DE-627)129062723 |w (DE-600)629-4 |w (DE-576)014393522 |x 0004-640X |7 nnns |
| 773 | 1 | 8 | |g volume:290 |g year:2004 |g number:3-4 |g month:03 |g pages:299-310 |
| 856 | 4 | 1 | |u https://doi.org/10.1023/B:ASTR.0000032531.46639.a7 |z lizenzpflichtig |3 Volltext |
| 912 | |a GBV_USEFLAG_A | ||
| 912 | |a SYSFLAG_A | ||
| 912 | |a GBV_OLC | ||
| 912 | |a SSG-OLC-TEC | ||
| 912 | |a SSG-OLC-PHY | ||
| 912 | |a SSG-OLC-AST | ||
| 912 | |a SSG-OPC-AST | ||
| 912 | |a GBV_ILN_11 | ||
| 912 | |a GBV_ILN_40 | ||
| 912 | |a GBV_ILN_47 | ||
| 912 | |a GBV_ILN_70 | ||
| 912 | |a GBV_ILN_2279 | ||
| 912 | |a GBV_ILN_2286 | ||
| 912 | |a GBV_ILN_4012 | ||
| 951 | |a AR | ||
| 952 | |d 290 |j 2004 |e 3-4 |c 03 |h 299-310 | ||
| author_variant |
r s rs a m am h h hh |
|---|---|
| matchkey_str |
article:0004640X:2004----::nfefatoakntcqainnarcin |
| hierarchy_sort_str |
2004 |
| publishDate |
2004 |
| allfields |
10.1023/B:ASTR.0000032531.46639.a7 doi (DE-627)OLC2066240575 (DE-He213)B:ASTR.0000032531.46639.a7-p DE-627 ger DE-627 rakwb eng 520 530 620 VZ 16,12 ssgn Saxena, R.K. verfasserin aut Unified Fractional Kinetic Equation and a Fractional Diffusion Equation 2004 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Kluwer Academic Publishers 2004 Abstract In earlier papers Saxena et al. (Saxena, R.K., Mathai, A.M. and Haubold, H.J., Astrophys. Space Sci. 2002, 282, 281–287; manuscript submitted for publication) derived the solutions of a number of fractional kinetic equations in terms of generalized Mittag-Leffler functions which extended the work of Haubold and Mathai (2000). The object of the present paper is to investigate the solution of a unified form of fractional kinetic equation in which the free term contains any integrable function f(t), which provides the unification and extension of the results given earlier recently by Saxena et al. (Saxena, R.K., Mathai, A.M. and Haubold, H.J., Astrophys. Space Sci. 2002, 282, 281–287; manuscript submitted for publication). The solution has been developed in terms of the Wright function in a closed form by the method of Laplace transform. Further we derive a closed-form solution of a fractional diffusion equation. The asymptotic expansion of the derived solution with respect to the space variable is also discussed. The results obtained are in a form suitable for numerical computation. Fractional Derivative Fractional Calculus High Transcendental Function Fractional Diffusion Equation Wright Function Mathai, A.M. aut Haubold, H.J. aut Enthalten in Astrophysics and space science Kluwer Academic Publishers, 1968 290(2004), 3-4 vom: März, Seite 299-310 (DE-627)129062723 (DE-600)629-4 (DE-576)014393522 0004-640X nnns volume:290 year:2004 number:3-4 month:03 pages:299-310 https://doi.org/10.1023/B:ASTR.0000032531.46639.a7 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY SSG-OLC-AST SSG-OPC-AST GBV_ILN_11 GBV_ILN_40 GBV_ILN_47 GBV_ILN_70 GBV_ILN_2279 GBV_ILN_2286 GBV_ILN_4012 AR 290 2004 3-4 03 299-310 |
| spelling |
10.1023/B:ASTR.0000032531.46639.a7 doi (DE-627)OLC2066240575 (DE-He213)B:ASTR.0000032531.46639.a7-p DE-627 ger DE-627 rakwb eng 520 530 620 VZ 16,12 ssgn Saxena, R.K. verfasserin aut Unified Fractional Kinetic Equation and a Fractional Diffusion Equation 2004 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Kluwer Academic Publishers 2004 Abstract In earlier papers Saxena et al. (Saxena, R.K., Mathai, A.M. and Haubold, H.J., Astrophys. Space Sci. 2002, 282, 281–287; manuscript submitted for publication) derived the solutions of a number of fractional kinetic equations in terms of generalized Mittag-Leffler functions which extended the work of Haubold and Mathai (2000). The object of the present paper is to investigate the solution of a unified form of fractional kinetic equation in which the free term contains any integrable function f(t), which provides the unification and extension of the results given earlier recently by Saxena et al. (Saxena, R.K., Mathai, A.M. and Haubold, H.J., Astrophys. Space Sci. 2002, 282, 281–287; manuscript submitted for publication). The solution has been developed in terms of the Wright function in a closed form by the method of Laplace transform. Further we derive a closed-form solution of a fractional diffusion equation. The asymptotic expansion of the derived solution with respect to the space variable is also discussed. The results obtained are in a form suitable for numerical computation. Fractional Derivative Fractional Calculus High Transcendental Function Fractional Diffusion Equation Wright Function Mathai, A.M. aut Haubold, H.J. aut Enthalten in Astrophysics and space science Kluwer Academic Publishers, 1968 290(2004), 3-4 vom: März, Seite 299-310 (DE-627)129062723 (DE-600)629-4 (DE-576)014393522 0004-640X nnns volume:290 year:2004 number:3-4 month:03 pages:299-310 https://doi.org/10.1023/B:ASTR.0000032531.46639.a7 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY SSG-OLC-AST SSG-OPC-AST GBV_ILN_11 GBV_ILN_40 GBV_ILN_47 GBV_ILN_70 GBV_ILN_2279 GBV_ILN_2286 GBV_ILN_4012 AR 290 2004 3-4 03 299-310 |
| allfields_unstemmed |
10.1023/B:ASTR.0000032531.46639.a7 doi (DE-627)OLC2066240575 (DE-He213)B:ASTR.0000032531.46639.a7-p DE-627 ger DE-627 rakwb eng 520 530 620 VZ 16,12 ssgn Saxena, R.K. verfasserin aut Unified Fractional Kinetic Equation and a Fractional Diffusion Equation 2004 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Kluwer Academic Publishers 2004 Abstract In earlier papers Saxena et al. (Saxena, R.K., Mathai, A.M. and Haubold, H.J., Astrophys. Space Sci. 2002, 282, 281–287; manuscript submitted for publication) derived the solutions of a number of fractional kinetic equations in terms of generalized Mittag-Leffler functions which extended the work of Haubold and Mathai (2000). The object of the present paper is to investigate the solution of a unified form of fractional kinetic equation in which the free term contains any integrable function f(t), which provides the unification and extension of the results given earlier recently by Saxena et al. (Saxena, R.K., Mathai, A.M. and Haubold, H.J., Astrophys. Space Sci. 2002, 282, 281–287; manuscript submitted for publication). The solution has been developed in terms of the Wright function in a closed form by the method of Laplace transform. Further we derive a closed-form solution of a fractional diffusion equation. The asymptotic expansion of the derived solution with respect to the space variable is also discussed. The results obtained are in a form suitable for numerical computation. Fractional Derivative Fractional Calculus High Transcendental Function Fractional Diffusion Equation Wright Function Mathai, A.M. aut Haubold, H.J. aut Enthalten in Astrophysics and space science Kluwer Academic Publishers, 1968 290(2004), 3-4 vom: März, Seite 299-310 (DE-627)129062723 (DE-600)629-4 (DE-576)014393522 0004-640X nnns volume:290 year:2004 number:3-4 month:03 pages:299-310 https://doi.org/10.1023/B:ASTR.0000032531.46639.a7 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY SSG-OLC-AST SSG-OPC-AST GBV_ILN_11 GBV_ILN_40 GBV_ILN_47 GBV_ILN_70 GBV_ILN_2279 GBV_ILN_2286 GBV_ILN_4012 AR 290 2004 3-4 03 299-310 |
| allfieldsGer |
10.1023/B:ASTR.0000032531.46639.a7 doi (DE-627)OLC2066240575 (DE-He213)B:ASTR.0000032531.46639.a7-p DE-627 ger DE-627 rakwb eng 520 530 620 VZ 16,12 ssgn Saxena, R.K. verfasserin aut Unified Fractional Kinetic Equation and a Fractional Diffusion Equation 2004 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Kluwer Academic Publishers 2004 Abstract In earlier papers Saxena et al. (Saxena, R.K., Mathai, A.M. and Haubold, H.J., Astrophys. Space Sci. 2002, 282, 281–287; manuscript submitted for publication) derived the solutions of a number of fractional kinetic equations in terms of generalized Mittag-Leffler functions which extended the work of Haubold and Mathai (2000). The object of the present paper is to investigate the solution of a unified form of fractional kinetic equation in which the free term contains any integrable function f(t), which provides the unification and extension of the results given earlier recently by Saxena et al. (Saxena, R.K., Mathai, A.M. and Haubold, H.J., Astrophys. Space Sci. 2002, 282, 281–287; manuscript submitted for publication). The solution has been developed in terms of the Wright function in a closed form by the method of Laplace transform. Further we derive a closed-form solution of a fractional diffusion equation. The asymptotic expansion of the derived solution with respect to the space variable is also discussed. The results obtained are in a form suitable for numerical computation. Fractional Derivative Fractional Calculus High Transcendental Function Fractional Diffusion Equation Wright Function Mathai, A.M. aut Haubold, H.J. aut Enthalten in Astrophysics and space science Kluwer Academic Publishers, 1968 290(2004), 3-4 vom: März, Seite 299-310 (DE-627)129062723 (DE-600)629-4 (DE-576)014393522 0004-640X nnns volume:290 year:2004 number:3-4 month:03 pages:299-310 https://doi.org/10.1023/B:ASTR.0000032531.46639.a7 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY SSG-OLC-AST SSG-OPC-AST GBV_ILN_11 GBV_ILN_40 GBV_ILN_47 GBV_ILN_70 GBV_ILN_2279 GBV_ILN_2286 GBV_ILN_4012 AR 290 2004 3-4 03 299-310 |
| allfieldsSound |
10.1023/B:ASTR.0000032531.46639.a7 doi (DE-627)OLC2066240575 (DE-He213)B:ASTR.0000032531.46639.a7-p DE-627 ger DE-627 rakwb eng 520 530 620 VZ 16,12 ssgn Saxena, R.K. verfasserin aut Unified Fractional Kinetic Equation and a Fractional Diffusion Equation 2004 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Kluwer Academic Publishers 2004 Abstract In earlier papers Saxena et al. (Saxena, R.K., Mathai, A.M. and Haubold, H.J., Astrophys. Space Sci. 2002, 282, 281–287; manuscript submitted for publication) derived the solutions of a number of fractional kinetic equations in terms of generalized Mittag-Leffler functions which extended the work of Haubold and Mathai (2000). The object of the present paper is to investigate the solution of a unified form of fractional kinetic equation in which the free term contains any integrable function f(t), which provides the unification and extension of the results given earlier recently by Saxena et al. (Saxena, R.K., Mathai, A.M. and Haubold, H.J., Astrophys. Space Sci. 2002, 282, 281–287; manuscript submitted for publication). The solution has been developed in terms of the Wright function in a closed form by the method of Laplace transform. Further we derive a closed-form solution of a fractional diffusion equation. The asymptotic expansion of the derived solution with respect to the space variable is also discussed. The results obtained are in a form suitable for numerical computation. Fractional Derivative Fractional Calculus High Transcendental Function Fractional Diffusion Equation Wright Function Mathai, A.M. aut Haubold, H.J. aut Enthalten in Astrophysics and space science Kluwer Academic Publishers, 1968 290(2004), 3-4 vom: März, Seite 299-310 (DE-627)129062723 (DE-600)629-4 (DE-576)014393522 0004-640X nnns volume:290 year:2004 number:3-4 month:03 pages:299-310 https://doi.org/10.1023/B:ASTR.0000032531.46639.a7 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY SSG-OLC-AST SSG-OPC-AST GBV_ILN_11 GBV_ILN_40 GBV_ILN_47 GBV_ILN_70 GBV_ILN_2279 GBV_ILN_2286 GBV_ILN_4012 AR 290 2004 3-4 03 299-310 |
| language |
English |
| source |
Enthalten in Astrophysics and space science 290(2004), 3-4 vom: März, Seite 299-310 volume:290 year:2004 number:3-4 month:03 pages:299-310 |
| sourceStr |
Enthalten in Astrophysics and space science 290(2004), 3-4 vom: März, Seite 299-310 volume:290 year:2004 number:3-4 month:03 pages:299-310 |
| format_phy_str_mv |
Article |
| institution |
findex.gbv.de |
| topic_facet |
Fractional Derivative Fractional Calculus High Transcendental Function Fractional Diffusion Equation Wright Function |
| dewey-raw |
520 |
| isfreeaccess_bool |
false |
| container_title |
Astrophysics and space science |
| authorswithroles_txt_mv |
Saxena, R.K. @@aut@@ Mathai, A.M. @@aut@@ Haubold, H.J. @@aut@@ |
| publishDateDaySort_date |
2004-03-01T00:00:00Z |
| hierarchy_top_id |
129062723 |
| dewey-sort |
3520 |
| id |
OLC2066240575 |
| language_de |
englisch |
| fullrecord |
<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01000caa a22002652 4500</leader><controlfield tag="001">OLC2066240575</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20230502213401.0</controlfield><controlfield tag="007">tu</controlfield><controlfield tag="008">200820s2004 xx ||||| 00| ||eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1023/B:ASTR.0000032531.46639.a7</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)OLC2066240575</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-He213)B:ASTR.0000032531.46639.a7-p</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-627</subfield><subfield code="b">ger</subfield><subfield code="c">DE-627</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1=" " ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">520</subfield><subfield code="a">530</subfield><subfield code="a">620</subfield><subfield code="q">VZ</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">16,12</subfield><subfield code="2">ssgn</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Saxena, R.K.</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Unified Fractional Kinetic Equation and a Fractional Diffusion Equation</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2004</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">Text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">ohne Hilfsmittel zu benutzen</subfield><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">Band</subfield><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">© Kluwer Academic Publishers 2004</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Abstract In earlier papers Saxena et al. (Saxena, R.K., Mathai, A.M. and Haubold, H.J., Astrophys. Space Sci. 2002, 282, 281–287; manuscript submitted for publication) derived the solutions of a number of fractional kinetic equations in terms of generalized Mittag-Leffler functions which extended the work of Haubold and Mathai (2000). The object of the present paper is to investigate the solution of a unified form of fractional kinetic equation in which the free term contains any integrable function f(t), which provides the unification and extension of the results given earlier recently by Saxena et al. (Saxena, R.K., Mathai, A.M. and Haubold, H.J., Astrophys. Space Sci. 2002, 282, 281–287; manuscript submitted for publication). The solution has been developed in terms of the Wright function in a closed form by the method of Laplace transform. Further we derive a closed-form solution of a fractional diffusion equation. The asymptotic expansion of the derived solution with respect to the space variable is also discussed. The results obtained are in a form suitable for numerical computation.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Fractional Derivative</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Fractional Calculus</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">High Transcendental Function</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Fractional Diffusion Equation</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Wright Function</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Mathai, A.M.</subfield><subfield code="4">aut</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Haubold, H.J.</subfield><subfield code="4">aut</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Enthalten in</subfield><subfield code="t">Astrophysics and space science</subfield><subfield code="d">Kluwer Academic Publishers, 1968</subfield><subfield code="g">290(2004), 3-4 vom: März, Seite 299-310</subfield><subfield code="w">(DE-627)129062723</subfield><subfield code="w">(DE-600)629-4</subfield><subfield code="w">(DE-576)014393522</subfield><subfield code="x">0004-640X</subfield><subfield code="7">nnns</subfield></datafield><datafield tag="773" ind1="1" ind2="8"><subfield code="g">volume:290</subfield><subfield code="g">year:2004</subfield><subfield code="g">number:3-4</subfield><subfield code="g">month:03</subfield><subfield code="g">pages:299-310</subfield></datafield><datafield tag="856" ind1="4" ind2="1"><subfield code="u">https://doi.org/10.1023/B:ASTR.0000032531.46639.a7</subfield><subfield code="z">lizenzpflichtig</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_USEFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SYSFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_OLC</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OLC-TEC</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OLC-PHY</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OLC-AST</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OPC-AST</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_11</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_40</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_47</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_70</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2279</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2286</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4012</subfield></datafield><datafield tag="951" ind1=" " ind2=" "><subfield code="a">AR</subfield></datafield><datafield tag="952" ind1=" " ind2=" "><subfield code="d">290</subfield><subfield code="j">2004</subfield><subfield code="e">3-4</subfield><subfield code="c">03</subfield><subfield code="h">299-310</subfield></datafield></record></collection>
|
| author |
Saxena, R.K. |
| spellingShingle |
Saxena, R.K. ddc 520 ssgn 16,12 misc Fractional Derivative misc Fractional Calculus misc High Transcendental Function misc Fractional Diffusion Equation misc Wright Function Unified Fractional Kinetic Equation and a Fractional Diffusion Equation |
| authorStr |
Saxena, R.K. |
| ppnlink_with_tag_str_mv |
@@773@@(DE-627)129062723 |
| format |
Article |
| dewey-ones |
520 - Astronomy & allied sciences 530 - Physics 620 - Engineering & allied operations |
| delete_txt_mv |
keep |
| author_role |
aut aut aut |
| collection |
OLC |
| remote_str |
false |
| illustrated |
Not Illustrated |
| issn |
0004-640X |
| topic_title |
520 530 620 VZ 16,12 ssgn Unified Fractional Kinetic Equation and a Fractional Diffusion Equation Fractional Derivative Fractional Calculus High Transcendental Function Fractional Diffusion Equation Wright Function |
| topic |
ddc 520 ssgn 16,12 misc Fractional Derivative misc Fractional Calculus misc High Transcendental Function misc Fractional Diffusion Equation misc Wright Function |
| topic_unstemmed |
ddc 520 ssgn 16,12 misc Fractional Derivative misc Fractional Calculus misc High Transcendental Function misc Fractional Diffusion Equation misc Wright Function |
| topic_browse |
ddc 520 ssgn 16,12 misc Fractional Derivative misc Fractional Calculus misc High Transcendental Function misc Fractional Diffusion Equation misc Wright Function |
| format_facet |
Aufsätze Gedruckte Aufsätze |
| format_main_str_mv |
Text Zeitschrift/Artikel |
| carriertype_str_mv |
nc |
| hierarchy_parent_title |
Astrophysics and space science |
| hierarchy_parent_id |
129062723 |
| dewey-tens |
520 - Astronomy 530 - Physics 620 - Engineering |
| hierarchy_top_title |
Astrophysics and space science |
| isfreeaccess_txt |
false |
| familylinks_str_mv |
(DE-627)129062723 (DE-600)629-4 (DE-576)014393522 |
| title |
Unified Fractional Kinetic Equation and a Fractional Diffusion Equation |
| ctrlnum |
(DE-627)OLC2066240575 (DE-He213)B:ASTR.0000032531.46639.a7-p |
| title_full |
Unified Fractional Kinetic Equation and a Fractional Diffusion Equation |
| author_sort |
Saxena, R.K. |
| journal |
Astrophysics and space science |
| journalStr |
Astrophysics and space science |
| lang_code |
eng |
| isOA_bool |
false |
| dewey-hundreds |
500 - Science 600 - Technology |
| recordtype |
marc |
| publishDateSort |
2004 |
| contenttype_str_mv |
txt |
| container_start_page |
299 |
| author_browse |
Saxena, R.K. Mathai, A.M. Haubold, H.J. |
| container_volume |
290 |
| class |
520 530 620 VZ 16,12 ssgn |
| format_se |
Aufsätze |
| author-letter |
Saxena, R.K. |
| doi_str_mv |
10.1023/B:ASTR.0000032531.46639.a7 |
| dewey-full |
520 530 620 |
| title_sort |
unified fractional kinetic equation and a fractional diffusion equation |
| title_auth |
Unified Fractional Kinetic Equation and a Fractional Diffusion Equation |
| abstract |
Abstract In earlier papers Saxena et al. (Saxena, R.K., Mathai, A.M. and Haubold, H.J., Astrophys. Space Sci. 2002, 282, 281–287; manuscript submitted for publication) derived the solutions of a number of fractional kinetic equations in terms of generalized Mittag-Leffler functions which extended the work of Haubold and Mathai (2000). The object of the present paper is to investigate the solution of a unified form of fractional kinetic equation in which the free term contains any integrable function f(t), which provides the unification and extension of the results given earlier recently by Saxena et al. (Saxena, R.K., Mathai, A.M. and Haubold, H.J., Astrophys. Space Sci. 2002, 282, 281–287; manuscript submitted for publication). The solution has been developed in terms of the Wright function in a closed form by the method of Laplace transform. Further we derive a closed-form solution of a fractional diffusion equation. The asymptotic expansion of the derived solution with respect to the space variable is also discussed. The results obtained are in a form suitable for numerical computation. © Kluwer Academic Publishers 2004 |
| abstractGer |
Abstract In earlier papers Saxena et al. (Saxena, R.K., Mathai, A.M. and Haubold, H.J., Astrophys. Space Sci. 2002, 282, 281–287; manuscript submitted for publication) derived the solutions of a number of fractional kinetic equations in terms of generalized Mittag-Leffler functions which extended the work of Haubold and Mathai (2000). The object of the present paper is to investigate the solution of a unified form of fractional kinetic equation in which the free term contains any integrable function f(t), which provides the unification and extension of the results given earlier recently by Saxena et al. (Saxena, R.K., Mathai, A.M. and Haubold, H.J., Astrophys. Space Sci. 2002, 282, 281–287; manuscript submitted for publication). The solution has been developed in terms of the Wright function in a closed form by the method of Laplace transform. Further we derive a closed-form solution of a fractional diffusion equation. The asymptotic expansion of the derived solution with respect to the space variable is also discussed. The results obtained are in a form suitable for numerical computation. © Kluwer Academic Publishers 2004 |
| abstract_unstemmed |
Abstract In earlier papers Saxena et al. (Saxena, R.K., Mathai, A.M. and Haubold, H.J., Astrophys. Space Sci. 2002, 282, 281–287; manuscript submitted for publication) derived the solutions of a number of fractional kinetic equations in terms of generalized Mittag-Leffler functions which extended the work of Haubold and Mathai (2000). The object of the present paper is to investigate the solution of a unified form of fractional kinetic equation in which the free term contains any integrable function f(t), which provides the unification and extension of the results given earlier recently by Saxena et al. (Saxena, R.K., Mathai, A.M. and Haubold, H.J., Astrophys. Space Sci. 2002, 282, 281–287; manuscript submitted for publication). The solution has been developed in terms of the Wright function in a closed form by the method of Laplace transform. Further we derive a closed-form solution of a fractional diffusion equation. The asymptotic expansion of the derived solution with respect to the space variable is also discussed. The results obtained are in a form suitable for numerical computation. © Kluwer Academic Publishers 2004 |
| collection_details |
GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY SSG-OLC-AST SSG-OPC-AST GBV_ILN_11 GBV_ILN_40 GBV_ILN_47 GBV_ILN_70 GBV_ILN_2279 GBV_ILN_2286 GBV_ILN_4012 |
| container_issue |
3-4 |
| title_short |
Unified Fractional Kinetic Equation and a Fractional Diffusion Equation |
| url |
https://doi.org/10.1023/B:ASTR.0000032531.46639.a7 |
| remote_bool |
false |
| author2 |
Mathai, A.M. Haubold, H.J. |
| author2Str |
Mathai, A.M. Haubold, H.J. |
| ppnlink |
129062723 |
| mediatype_str_mv |
n |
| isOA_txt |
false |
| hochschulschrift_bool |
false |
| doi_str |
10.1023/B:ASTR.0000032531.46639.a7 |
| up_date |
2024-07-04T04:03:05.764Z |
| _version_ |
1803619701386903552 |
| fullrecord_marcxml |
<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01000caa a22002652 4500</leader><controlfield tag="001">OLC2066240575</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20230502213401.0</controlfield><controlfield tag="007">tu</controlfield><controlfield tag="008">200820s2004 xx ||||| 00| ||eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1023/B:ASTR.0000032531.46639.a7</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)OLC2066240575</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-He213)B:ASTR.0000032531.46639.a7-p</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-627</subfield><subfield code="b">ger</subfield><subfield code="c">DE-627</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1=" " ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">520</subfield><subfield code="a">530</subfield><subfield code="a">620</subfield><subfield code="q">VZ</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">16,12</subfield><subfield code="2">ssgn</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Saxena, R.K.</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Unified Fractional Kinetic Equation and a Fractional Diffusion Equation</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2004</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">Text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">ohne Hilfsmittel zu benutzen</subfield><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">Band</subfield><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">© Kluwer Academic Publishers 2004</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Abstract In earlier papers Saxena et al. (Saxena, R.K., Mathai, A.M. and Haubold, H.J., Astrophys. Space Sci. 2002, 282, 281–287; manuscript submitted for publication) derived the solutions of a number of fractional kinetic equations in terms of generalized Mittag-Leffler functions which extended the work of Haubold and Mathai (2000). The object of the present paper is to investigate the solution of a unified form of fractional kinetic equation in which the free term contains any integrable function f(t), which provides the unification and extension of the results given earlier recently by Saxena et al. (Saxena, R.K., Mathai, A.M. and Haubold, H.J., Astrophys. Space Sci. 2002, 282, 281–287; manuscript submitted for publication). The solution has been developed in terms of the Wright function in a closed form by the method of Laplace transform. Further we derive a closed-form solution of a fractional diffusion equation. The asymptotic expansion of the derived solution with respect to the space variable is also discussed. The results obtained are in a form suitable for numerical computation.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Fractional Derivative</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Fractional Calculus</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">High Transcendental Function</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Fractional Diffusion Equation</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Wright Function</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Mathai, A.M.</subfield><subfield code="4">aut</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Haubold, H.J.</subfield><subfield code="4">aut</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Enthalten in</subfield><subfield code="t">Astrophysics and space science</subfield><subfield code="d">Kluwer Academic Publishers, 1968</subfield><subfield code="g">290(2004), 3-4 vom: März, Seite 299-310</subfield><subfield code="w">(DE-627)129062723</subfield><subfield code="w">(DE-600)629-4</subfield><subfield code="w">(DE-576)014393522</subfield><subfield code="x">0004-640X</subfield><subfield code="7">nnns</subfield></datafield><datafield tag="773" ind1="1" ind2="8"><subfield code="g">volume:290</subfield><subfield code="g">year:2004</subfield><subfield code="g">number:3-4</subfield><subfield code="g">month:03</subfield><subfield code="g">pages:299-310</subfield></datafield><datafield tag="856" ind1="4" ind2="1"><subfield code="u">https://doi.org/10.1023/B:ASTR.0000032531.46639.a7</subfield><subfield code="z">lizenzpflichtig</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_USEFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SYSFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_OLC</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OLC-TEC</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OLC-PHY</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OLC-AST</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OPC-AST</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_11</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_40</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_47</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_70</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2279</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2286</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4012</subfield></datafield><datafield tag="951" ind1=" " ind2=" "><subfield code="a">AR</subfield></datafield><datafield tag="952" ind1=" " ind2=" "><subfield code="d">290</subfield><subfield code="j">2004</subfield><subfield code="e">3-4</subfield><subfield code="c">03</subfield><subfield code="h">299-310</subfield></datafield></record></collection>
|
| score |
7.3989725 |