Contributions of the fixed point technique to solve the 2D Volterra integral equations, Riemann–Liouville fractional integrals, and Atangana–Baleanu integral operators

Abstract In this manuscript, some fixed point results for generalized contractive type mappings under mild conditions in the setting of double controlled metric spaces (in short, $\eta _{\gimel }^{\nu }$-metric spaces) are obtained. Moreover, some related consequences dealing with a common fixed poi...
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Autor*in:	Hammad, Hasanen A. [verfasserIn] Aydi, Hassen [verfasserIn] Mlaiki, Nabil [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2021

Schlagwörter:	Double controlled metric spaces 2D Volterra integral equations Riemann–Liouville fractional integrals Atangana–Baleanu integral operators

Übergeordnetes Werk:	Enthalten in: Advances in difference equations - [S.l.] : Springer International, 2004, 2021(2021), 1 vom: 02. Feb.
Übergeordnetes Werk:	volume:2021 ; year:2021 ; number:1 ; day:02 ; month:02

Links:	Volltext

DOI / URN:	10.1186/s13662-021-03255-6

Katalog-ID:	SPR042979935

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245	1	0	\|a Contributions of the fixed point technique to solve the 2D Volterra integral equations, Riemann–Liouville fractional integrals, and Atangana–Baleanu integral operators
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520			\|a Abstract In this manuscript, some fixed point results for generalized contractive type mappings under mild conditions in the setting of double controlled metric spaces (in short, $\eta _{\gimel }^{\nu }$-metric spaces) are obtained. Moreover, some related consequences dealing with a common fixed point concept and nontrivial examples to support our results are presented. Ultimately, we use the theoretical results to discuss the existence and uniqueness of solutions of 2D Volterra integral equations, Riemann–Liouville integrals and Atangana–Baleanu integral operators are given.
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spelling	10.1186/s13662-021-03255-6 doi (DE-627)SPR042979935 (DE-599)SPRs13662-021-03255-6-e (SPR)s13662-021-03255-6-e DE-627 ger DE-627 rakwb eng 510 610 ASE 31.49 bkl Hammad, Hasanen A. verfasserin aut Contributions of the fixed point technique to solve the 2D Volterra integral equations, Riemann–Liouville fractional integrals, and Atangana–Baleanu integral operators 2021 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract In this manuscript, some fixed point results for generalized contractive type mappings under mild conditions in the setting of double controlled metric spaces (in short, $\eta _{\gimel }^{\nu }$-metric spaces) are obtained. Moreover, some related consequences dealing with a common fixed point concept and nontrivial examples to support our results are presented. Ultimately, we use the theoretical results to discuss the existence and uniqueness of solutions of 2D Volterra integral equations, Riemann–Liouville integrals and Atangana–Baleanu integral operators are given. Double controlled metric spaces (dpeaa)DE-He213 2D Volterra integral equations (dpeaa)DE-He213 Riemann–Liouville fractional integrals (dpeaa)DE-He213 Atangana–Baleanu integral operators (dpeaa)DE-He213 Aydi, Hassen verfasserin aut Mlaiki, Nabil verfasserin aut Enthalten in Advances in difference equations [S.l.] : Springer International, 2004 2021(2021), 1 vom: 02. Feb. (DE-627)377755699 (DE-600)2132815-8 1687-1847 nnns volume:2021 year:2021 number:1 day:02 month:02 https://dx.doi.org/10.1186/s13662-021-03255-6 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OLC-PHA SSG-OPC-MAT SSG-OPC-ASE 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_74 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 31.49 ASE AR 2021 2021 1 02 02
allfields_unstemmed	10.1186/s13662-021-03255-6 doi (DE-627)SPR042979935 (DE-599)SPRs13662-021-03255-6-e (SPR)s13662-021-03255-6-e DE-627 ger DE-627 rakwb eng 510 610 ASE 31.49 bkl Hammad, Hasanen A. verfasserin aut Contributions of the fixed point technique to solve the 2D Volterra integral equations, Riemann–Liouville fractional integrals, and Atangana–Baleanu integral operators 2021 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract In this manuscript, some fixed point results for generalized contractive type mappings under mild conditions in the setting of double controlled metric spaces (in short, $\eta _{\gimel }^{\nu }$-metric spaces) are obtained. Moreover, some related consequences dealing with a common fixed point concept and nontrivial examples to support our results are presented. Ultimately, we use the theoretical results to discuss the existence and uniqueness of solutions of 2D Volterra integral equations, Riemann–Liouville integrals and Atangana–Baleanu integral operators are given. Double controlled metric spaces (dpeaa)DE-He213 2D Volterra integral equations (dpeaa)DE-He213 Riemann–Liouville fractional integrals (dpeaa)DE-He213 Atangana–Baleanu integral operators (dpeaa)DE-He213 Aydi, Hassen verfasserin aut Mlaiki, Nabil verfasserin aut Enthalten in Advances in difference equations [S.l.] : Springer International, 2004 2021(2021), 1 vom: 02. Feb. (DE-627)377755699 (DE-600)2132815-8 1687-1847 nnns volume:2021 year:2021 number:1 day:02 month:02 https://dx.doi.org/10.1186/s13662-021-03255-6 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OLC-PHA SSG-OPC-MAT SSG-OPC-ASE 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_74 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 31.49 ASE AR 2021 2021 1 02 02
allfieldsGer	10.1186/s13662-021-03255-6 doi (DE-627)SPR042979935 (DE-599)SPRs13662-021-03255-6-e (SPR)s13662-021-03255-6-e DE-627 ger DE-627 rakwb eng 510 610 ASE 31.49 bkl Hammad, Hasanen A. verfasserin aut Contributions of the fixed point technique to solve the 2D Volterra integral equations, Riemann–Liouville fractional integrals, and Atangana–Baleanu integral operators 2021 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract In this manuscript, some fixed point results for generalized contractive type mappings under mild conditions in the setting of double controlled metric spaces (in short, $\eta _{\gimel }^{\nu }$-metric spaces) are obtained. Moreover, some related consequences dealing with a common fixed point concept and nontrivial examples to support our results are presented. Ultimately, we use the theoretical results to discuss the existence and uniqueness of solutions of 2D Volterra integral equations, Riemann–Liouville integrals and Atangana–Baleanu integral operators are given. Double controlled metric spaces (dpeaa)DE-He213 2D Volterra integral equations (dpeaa)DE-He213 Riemann–Liouville fractional integrals (dpeaa)DE-He213 Atangana–Baleanu integral operators (dpeaa)DE-He213 Aydi, Hassen verfasserin aut Mlaiki, Nabil verfasserin aut Enthalten in Advances in difference equations [S.l.] : Springer International, 2004 2021(2021), 1 vom: 02. Feb. (DE-627)377755699 (DE-600)2132815-8 1687-1847 nnns volume:2021 year:2021 number:1 day:02 month:02 https://dx.doi.org/10.1186/s13662-021-03255-6 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OLC-PHA SSG-OPC-MAT SSG-OPC-ASE 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_74 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 31.49 ASE AR 2021 2021 1 02 02
allfieldsSound	10.1186/s13662-021-03255-6 doi (DE-627)SPR042979935 (DE-599)SPRs13662-021-03255-6-e (SPR)s13662-021-03255-6-e DE-627 ger DE-627 rakwb eng 510 610 ASE 31.49 bkl Hammad, Hasanen A. verfasserin aut Contributions of the fixed point technique to solve the 2D Volterra integral equations, Riemann–Liouville fractional integrals, and Atangana–Baleanu integral operators 2021 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract In this manuscript, some fixed point results for generalized contractive type mappings under mild conditions in the setting of double controlled metric spaces (in short, $\eta _{\gimel }^{\nu }$-metric spaces) are obtained. Moreover, some related consequences dealing with a common fixed point concept and nontrivial examples to support our results are presented. Ultimately, we use the theoretical results to discuss the existence and uniqueness of solutions of 2D Volterra integral equations, Riemann–Liouville integrals and Atangana–Baleanu integral operators are given. Double controlled metric spaces (dpeaa)DE-He213 2D Volterra integral equations (dpeaa)DE-He213 Riemann–Liouville fractional integrals (dpeaa)DE-He213 Atangana–Baleanu integral operators (dpeaa)DE-He213 Aydi, Hassen verfasserin aut Mlaiki, Nabil verfasserin aut Enthalten in Advances in difference equations [S.l.] : Springer International, 2004 2021(2021), 1 vom: 02. Feb. (DE-627)377755699 (DE-600)2132815-8 1687-1847 nnns volume:2021 year:2021 number:1 day:02 month:02 https://dx.doi.org/10.1186/s13662-021-03255-6 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OLC-PHA SSG-OPC-MAT SSG-OPC-ASE 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_74 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 31.49 ASE AR 2021 2021 1 02 02
language	English
source	Enthalten in Advances in difference equations 2021(2021), 1 vom: 02. Feb. volume:2021 year:2021 number:1 day:02 month:02
sourceStr	Enthalten in Advances in difference equations 2021(2021), 1 vom: 02. Feb. volume:2021 year:2021 number:1 day:02 month:02
format_phy_str_mv	Article
institution	findex.gbv.de
topic_facet	Double controlled metric spaces 2D Volterra integral equations Riemann–Liouville fractional integrals Atangana–Baleanu integral operators
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container_title	Advances in difference equations
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author	Hammad, Hasanen A.
spellingShingle	Hammad, Hasanen A. ddc 510 bkl 31.49 misc Double controlled metric spaces misc 2D Volterra integral equations misc Riemann–Liouville fractional integrals misc Atangana–Baleanu integral operators Contributions of the fixed point technique to solve the 2D Volterra integral equations, Riemann–Liouville fractional integrals, and Atangana–Baleanu integral operators
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topic_title	510 610 ASE 31.49 bkl Contributions of the fixed point technique to solve the 2D Volterra integral equations, Riemann–Liouville fractional integrals, and Atangana–Baleanu integral operators Double controlled metric spaces (dpeaa)DE-He213 2D Volterra integral equations (dpeaa)DE-He213 Riemann–Liouville fractional integrals (dpeaa)DE-He213 Atangana–Baleanu integral operators (dpeaa)DE-He213
topic	ddc 510 bkl 31.49 misc Double controlled metric spaces misc 2D Volterra integral equations misc Riemann–Liouville fractional integrals misc Atangana–Baleanu integral operators
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title	Contributions of the fixed point technique to solve the 2D Volterra integral equations, Riemann–Liouville fractional integrals, and Atangana–Baleanu integral operators
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title_full	Contributions of the fixed point technique to solve the 2D Volterra integral equations, Riemann–Liouville fractional integrals, and Atangana–Baleanu integral operators
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title_sort	contributions of the fixed point technique to solve the 2d volterra integral equations, riemann–liouville fractional integrals, and atangana–baleanu integral operators
title_auth	Contributions of the fixed point technique to solve the 2D Volterra integral equations, Riemann–Liouville fractional integrals, and Atangana–Baleanu integral operators
abstract	Abstract In this manuscript, some fixed point results for generalized contractive type mappings under mild conditions in the setting of double controlled metric spaces (in short, $\eta _{\gimel }^{\nu }$-metric spaces) are obtained. Moreover, some related consequences dealing with a common fixed point concept and nontrivial examples to support our results are presented. Ultimately, we use the theoretical results to discuss the existence and uniqueness of solutions of 2D Volterra integral equations, Riemann–Liouville integrals and Atangana–Baleanu integral operators are given.
abstractGer	Abstract In this manuscript, some fixed point results for generalized contractive type mappings under mild conditions in the setting of double controlled metric spaces (in short, $\eta _{\gimel }^{\nu }$-metric spaces) are obtained. Moreover, some related consequences dealing with a common fixed point concept and nontrivial examples to support our results are presented. Ultimately, we use the theoretical results to discuss the existence and uniqueness of solutions of 2D Volterra integral equations, Riemann–Liouville integrals and Atangana–Baleanu integral operators are given.
abstract_unstemmed	Abstract In this manuscript, some fixed point results for generalized contractive type mappings under mild conditions in the setting of double controlled metric spaces (in short, $\eta _{\gimel }^{\nu }$-metric spaces) are obtained. Moreover, some related consequences dealing with a common fixed point concept and nontrivial examples to support our results are presented. Ultimately, we use the theoretical results to discuss the existence and uniqueness of solutions of 2D Volterra integral equations, Riemann–Liouville integrals and Atangana–Baleanu integral operators are given.
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title_short	Contributions of the fixed point technique to solve the 2D Volterra integral equations, Riemann–Liouville fractional integrals, and Atangana–Baleanu integral operators
url	https://dx.doi.org/10.1186/s13662-021-03255-6
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Contributions of the fixed point technique to solve the 2D Volterra integral equations, Riemann–Liouville fractional integrals, and Atangana–Baleanu integral operators

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