Unique iterative solution for high-order nonlinear fractional q-difference equation based on $\psi -(h,r)$-concave operators
Abstract An objective of this paper is to investigate the boundary value problem of a high-order nonlinear fractional q-difference equation. It was to obtain a unique iterative solution for this problem by means of applying a novel fixed-point theorem of $\psi -(h,r)$-concave operator, in which the...
Ausführliche Beschreibung
Autor*in: |
Wang, Jufang [verfasserIn] |
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E-Artikel |
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Sprache: |
Englisch |
Erschienen: |
2023 |
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Schlagwörter: |
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Anmerkung: |
© The Author(s) 2023 |
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Übergeordnetes Werk: |
Enthalten in: Boundary value problems - Heidelberg : Springer, 2005, 2023(2023), 1 vom: 04. Apr. |
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Übergeordnetes Werk: |
volume:2023 ; year:2023 ; number:1 ; day:04 ; month:04 |
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DOI / URN: |
10.1186/s13661-023-01718-1 |
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Katalog-ID: |
SPR049949713 |
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520 | |a Abstract An objective of this paper is to investigate the boundary value problem of a high-order nonlinear fractional q-difference equation. It was to obtain a unique iterative solution for this problem by means of applying a novel fixed-point theorem of $\psi -(h,r)$-concave operator, in which the operator is increasing and defined in ordered sets. Moreover, we construct a monotone explicit iterative scheme to approximate the unique solution. Finally, we give an example to illustrate the use of the main result. | ||
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700 | 1 | |a Yu, Changlong |4 aut | |
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10.1186/s13661-023-01718-1 doi (DE-627)SPR049949713 (SPR)s13661-023-01718-1-e DE-627 ger DE-627 rakwb eng Wang, Jufang verfasserin aut Unique iterative solution for high-order nonlinear fractional q-difference equation based on $\psi -(h,r)$-concave operators 2023 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) 2023 Abstract An objective of this paper is to investigate the boundary value problem of a high-order nonlinear fractional q-difference equation. It was to obtain a unique iterative solution for this problem by means of applying a novel fixed-point theorem of $\psi -(h,r)$-concave operator, in which the operator is increasing and defined in ordered sets. Moreover, we construct a monotone explicit iterative scheme to approximate the unique solution. Finally, we give an example to illustrate the use of the main result. Fractional (dpeaa)DE-He213 -difference equations (dpeaa)DE-He213 Monotone iterative scheme (dpeaa)DE-He213 -concave operator (dpeaa)DE-He213 Fixed-point theorem (dpeaa)DE-He213 Boundary value problem (dpeaa)DE-He213 Wang, Si aut Yu, Changlong aut Enthalten in Boundary value problems Heidelberg : Springer, 2005 2023(2023), 1 vom: 04. Apr. (DE-627)48672557X (DE-600)2187777-4 1687-2770 nnns volume:2023 year:2023 number:1 day:04 month:04 https://dx.doi.org/10.1186/s13661-023-01718-1 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2027 GBV_ILN_2055 GBV_ILN_2088 GBV_ILN_2111 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 2023 2023 1 04 04 |
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10.1186/s13661-023-01718-1 doi (DE-627)SPR049949713 (SPR)s13661-023-01718-1-e DE-627 ger DE-627 rakwb eng Wang, Jufang verfasserin aut Unique iterative solution for high-order nonlinear fractional q-difference equation based on $\psi -(h,r)$-concave operators 2023 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) 2023 Abstract An objective of this paper is to investigate the boundary value problem of a high-order nonlinear fractional q-difference equation. It was to obtain a unique iterative solution for this problem by means of applying a novel fixed-point theorem of $\psi -(h,r)$-concave operator, in which the operator is increasing and defined in ordered sets. Moreover, we construct a monotone explicit iterative scheme to approximate the unique solution. Finally, we give an example to illustrate the use of the main result. Fractional (dpeaa)DE-He213 -difference equations (dpeaa)DE-He213 Monotone iterative scheme (dpeaa)DE-He213 -concave operator (dpeaa)DE-He213 Fixed-point theorem (dpeaa)DE-He213 Boundary value problem (dpeaa)DE-He213 Wang, Si aut Yu, Changlong aut Enthalten in Boundary value problems Heidelberg : Springer, 2005 2023(2023), 1 vom: 04. Apr. (DE-627)48672557X (DE-600)2187777-4 1687-2770 nnns volume:2023 year:2023 number:1 day:04 month:04 https://dx.doi.org/10.1186/s13661-023-01718-1 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2027 GBV_ILN_2055 GBV_ILN_2088 GBV_ILN_2111 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 2023 2023 1 04 04 |
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10.1186/s13661-023-01718-1 doi (DE-627)SPR049949713 (SPR)s13661-023-01718-1-e DE-627 ger DE-627 rakwb eng Wang, Jufang verfasserin aut Unique iterative solution for high-order nonlinear fractional q-difference equation based on $\psi -(h,r)$-concave operators 2023 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) 2023 Abstract An objective of this paper is to investigate the boundary value problem of a high-order nonlinear fractional q-difference equation. It was to obtain a unique iterative solution for this problem by means of applying a novel fixed-point theorem of $\psi -(h,r)$-concave operator, in which the operator is increasing and defined in ordered sets. Moreover, we construct a monotone explicit iterative scheme to approximate the unique solution. Finally, we give an example to illustrate the use of the main result. Fractional (dpeaa)DE-He213 -difference equations (dpeaa)DE-He213 Monotone iterative scheme (dpeaa)DE-He213 -concave operator (dpeaa)DE-He213 Fixed-point theorem (dpeaa)DE-He213 Boundary value problem (dpeaa)DE-He213 Wang, Si aut Yu, Changlong aut Enthalten in Boundary value problems Heidelberg : Springer, 2005 2023(2023), 1 vom: 04. Apr. (DE-627)48672557X (DE-600)2187777-4 1687-2770 nnns volume:2023 year:2023 number:1 day:04 month:04 https://dx.doi.org/10.1186/s13661-023-01718-1 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2027 GBV_ILN_2055 GBV_ILN_2088 GBV_ILN_2111 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 2023 2023 1 04 04 |
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10.1186/s13661-023-01718-1 doi (DE-627)SPR049949713 (SPR)s13661-023-01718-1-e DE-627 ger DE-627 rakwb eng Wang, Jufang verfasserin aut Unique iterative solution for high-order nonlinear fractional q-difference equation based on $\psi -(h,r)$-concave operators 2023 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) 2023 Abstract An objective of this paper is to investigate the boundary value problem of a high-order nonlinear fractional q-difference equation. It was to obtain a unique iterative solution for this problem by means of applying a novel fixed-point theorem of $\psi -(h,r)$-concave operator, in which the operator is increasing and defined in ordered sets. Moreover, we construct a monotone explicit iterative scheme to approximate the unique solution. Finally, we give an example to illustrate the use of the main result. Fractional (dpeaa)DE-He213 -difference equations (dpeaa)DE-He213 Monotone iterative scheme (dpeaa)DE-He213 -concave operator (dpeaa)DE-He213 Fixed-point theorem (dpeaa)DE-He213 Boundary value problem (dpeaa)DE-He213 Wang, Si aut Yu, Changlong aut Enthalten in Boundary value problems Heidelberg : Springer, 2005 2023(2023), 1 vom: 04. Apr. (DE-627)48672557X (DE-600)2187777-4 1687-2770 nnns volume:2023 year:2023 number:1 day:04 month:04 https://dx.doi.org/10.1186/s13661-023-01718-1 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2027 GBV_ILN_2055 GBV_ILN_2088 GBV_ILN_2111 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 2023 2023 1 04 04 |
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10.1186/s13661-023-01718-1 doi (DE-627)SPR049949713 (SPR)s13661-023-01718-1-e DE-627 ger DE-627 rakwb eng Wang, Jufang verfasserin aut Unique iterative solution for high-order nonlinear fractional q-difference equation based on $\psi -(h,r)$-concave operators 2023 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) 2023 Abstract An objective of this paper is to investigate the boundary value problem of a high-order nonlinear fractional q-difference equation. It was to obtain a unique iterative solution for this problem by means of applying a novel fixed-point theorem of $\psi -(h,r)$-concave operator, in which the operator is increasing and defined in ordered sets. Moreover, we construct a monotone explicit iterative scheme to approximate the unique solution. Finally, we give an example to illustrate the use of the main result. Fractional (dpeaa)DE-He213 -difference equations (dpeaa)DE-He213 Monotone iterative scheme (dpeaa)DE-He213 -concave operator (dpeaa)DE-He213 Fixed-point theorem (dpeaa)DE-He213 Boundary value problem (dpeaa)DE-He213 Wang, Si aut Yu, Changlong aut Enthalten in Boundary value problems Heidelberg : Springer, 2005 2023(2023), 1 vom: 04. Apr. (DE-627)48672557X (DE-600)2187777-4 1687-2770 nnns volume:2023 year:2023 number:1 day:04 month:04 https://dx.doi.org/10.1186/s13661-023-01718-1 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2027 GBV_ILN_2055 GBV_ILN_2088 GBV_ILN_2111 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 2023 2023 1 04 04 |
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Enthalten in Boundary value problems 2023(2023), 1 vom: 04. Apr. volume:2023 year:2023 number:1 day:04 month:04 |
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Unique iterative solution for high-order nonlinear fractional q-difference equation based on $\psi -(h,r)$-concave operators Fractional (dpeaa)DE-He213 -difference equations (dpeaa)DE-He213 Monotone iterative scheme (dpeaa)DE-He213 -concave operator (dpeaa)DE-He213 Fixed-point theorem (dpeaa)DE-He213 Boundary value problem (dpeaa)DE-He213 |
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unique iterative solution for high-order nonlinear fractional q-difference equation based on $\psi -(h,r)$-concave operators |
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Unique iterative solution for high-order nonlinear fractional q-difference equation based on $\psi -(h,r)$-concave operators |
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Abstract An objective of this paper is to investigate the boundary value problem of a high-order nonlinear fractional q-difference equation. It was to obtain a unique iterative solution for this problem by means of applying a novel fixed-point theorem of $\psi -(h,r)$-concave operator, in which the operator is increasing and defined in ordered sets. Moreover, we construct a monotone explicit iterative scheme to approximate the unique solution. Finally, we give an example to illustrate the use of the main result. © The Author(s) 2023 |
abstractGer |
Abstract An objective of this paper is to investigate the boundary value problem of a high-order nonlinear fractional q-difference equation. It was to obtain a unique iterative solution for this problem by means of applying a novel fixed-point theorem of $\psi -(h,r)$-concave operator, in which the operator is increasing and defined in ordered sets. Moreover, we construct a monotone explicit iterative scheme to approximate the unique solution. Finally, we give an example to illustrate the use of the main result. © The Author(s) 2023 |
abstract_unstemmed |
Abstract An objective of this paper is to investigate the boundary value problem of a high-order nonlinear fractional q-difference equation. It was to obtain a unique iterative solution for this problem by means of applying a novel fixed-point theorem of $\psi -(h,r)$-concave operator, in which the operator is increasing and defined in ordered sets. Moreover, we construct a monotone explicit iterative scheme to approximate the unique solution. Finally, we give an example to illustrate the use of the main result. © The Author(s) 2023 |
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|
score |
7.399637 |