Nonlocal Initial Value Problem for Hybrid Generalized Hilfer-type Fractional Implicit Differential Equations

In this paper, we prove some existence results of solutions for a class of nonlocal initial value problem for nonlinear fractional hybrid implicit differential equations under generalized Hilfer fractional derivative. The result is based on a fixed point theorem on Banach algebras. Further, examples...

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Autores principales:	Salim Abdelkrim, Benchohra Mouffak, Lazreg Jamal Eddine, Nieto Juan J., Zhou Yong
Formato:	article
Lenguaje:	EN
Publicado:	De Gruyter 2021
Materias:	generalized hilfer fractional derivative initial value problem nonlocal existence hybrid fractional differential equations implicit differential equations fixed point 34a08 26a33 Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/8e787188d8d4456e8f15518e7687ba30
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spelling	oai:doaj.org-article:8e787188d8d4456e8f15518e7687ba302021-12-05T14:10:56ZNonlocal Initial Value Problem for Hybrid Generalized Hilfer-type Fractional Implicit Differential Equations2353-062610.1515/msds-2020-0127https://doaj.org/article/8e787188d8d4456e8f15518e7687ba302021-04-01T00:00:00Zhttps://doi.org/10.1515/msds-2020-0127https://doaj.org/toc/2353-0626In this paper, we prove some existence results of solutions for a class of nonlocal initial value problem for nonlinear fractional hybrid implicit differential equations under generalized Hilfer fractional derivative. The result is based on a fixed point theorem on Banach algebras. Further, examples are provided to illustrate our results.Salim AbdelkrimBenchohra MouffakLazreg Jamal EddineNieto Juan J.Zhou YongDe Gruyterarticlegeneralized hilfer fractional derivativeinitial value problemnonlocalexistencehybrid fractional differential equationsimplicit differential equationsfixed point34a0826a33MathematicsQA1-939ENNonautonomous Dynamical Systems, Vol 8, Iss 1, Pp 87-100 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	generalized hilfer fractional derivative initial value problem nonlocal existence hybrid fractional differential equations implicit differential equations fixed point 34a08 26a33 Mathematics QA1-939
spellingShingle	generalized hilfer fractional derivative initial value problem nonlocal existence hybrid fractional differential equations implicit differential equations fixed point 34a08 26a33 Mathematics QA1-939 Salim Abdelkrim Benchohra Mouffak Lazreg Jamal Eddine Nieto Juan J. Zhou Yong Nonlocal Initial Value Problem for Hybrid Generalized Hilfer-type Fractional Implicit Differential Equations
description	In this paper, we prove some existence results of solutions for a class of nonlocal initial value problem for nonlinear fractional hybrid implicit differential equations under generalized Hilfer fractional derivative. The result is based on a fixed point theorem on Banach algebras. Further, examples are provided to illustrate our results.
format	article
author	Salim Abdelkrim Benchohra Mouffak Lazreg Jamal Eddine Nieto Juan J. Zhou Yong
author_facet	Salim Abdelkrim Benchohra Mouffak Lazreg Jamal Eddine Nieto Juan J. Zhou Yong
author_sort	Salim Abdelkrim
title	Nonlocal Initial Value Problem for Hybrid Generalized Hilfer-type Fractional Implicit Differential Equations
title_short	Nonlocal Initial Value Problem for Hybrid Generalized Hilfer-type Fractional Implicit Differential Equations
title_full	Nonlocal Initial Value Problem for Hybrid Generalized Hilfer-type Fractional Implicit Differential Equations
title_fullStr	Nonlocal Initial Value Problem for Hybrid Generalized Hilfer-type Fractional Implicit Differential Equations
title_full_unstemmed	Nonlocal Initial Value Problem for Hybrid Generalized Hilfer-type Fractional Implicit Differential Equations
title_sort	nonlocal initial value problem for hybrid generalized hilfer-type fractional implicit differential equations
publisher	De Gruyter
publishDate	2021
url	https://doaj.org/article/8e787188d8d4456e8f15518e7687ba30
work_keys_str_mv	AT salimabdelkrim nonlocalinitialvalueproblemforhybridgeneralizedhilfertypefractionalimplicitdifferentialequations AT benchohramouffak nonlocalinitialvalueproblemforhybridgeneralizedhilfertypefractionalimplicitdifferentialequations AT lazregjamaleddine nonlocalinitialvalueproblemforhybridgeneralizedhilfertypefractionalimplicitdifferentialequations AT nietojuanj nonlocalinitialvalueproblemforhybridgeneralizedhilfertypefractionalimplicitdifferentialequations AT zhouyong nonlocalinitialvalueproblemforhybridgeneralizedhilfertypefractionalimplicitdifferentialequations
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Nonlocal Initial Value Problem for Hybrid Generalized Hilfer-type Fractional Implicit Differential Equations

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