Existence Results for a Class of Coupled Hilfer Fractional Pantograph Differential Equations with Nonlocal Integral Boundary Value Conditions

Existence Results for a Class of Coupled Hilfer Fractional Pantograph Differential Equations with Nonlocal Integral Boundary Value Conditions

This paper deals with the existence and uniqueness of solutions for a new class of coupled systems of Hilfer fractional pantograph differential equations with nonlocal integral boundary conditions. First of all, we are going to give some definitions that are necessary for the understanding of the ma...

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Main Authors: Karim Guida, Khalid Hilal, Lahcen Ibnelazyz
Format: Article
Language:English
Published: Hindawi Limited 2020-01-01
Series:Advances in Mathematical Physics
Online Access:http://dx.doi.org/10.1155/2020/8898292
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spelling doaj-1f7a4a882e3843eead224b14d15567c42021-07-02T17:28:37ZengHindawi LimitedAdvances in Mathematical Physics1687-91201687-91392020-01-01202010.1155/2020/88982928898292Existence Results for a Class of Coupled Hilfer Fractional Pantograph Differential Equations with Nonlocal Integral Boundary Value ConditionsKarim Guida0Khalid Hilal1Lahcen Ibnelazyz2Sultan Moulay Slimane University, BP 523 Beni Mellal, MoroccoSultan Moulay Slimane University, BP 523 Beni Mellal, MoroccoSultan Moulay Slimane University, BP 523 Beni Mellal, MoroccoThis paper deals with the existence and uniqueness of solutions for a new class of coupled systems of Hilfer fractional pantograph differential equations with nonlocal integral boundary conditions. First of all, we are going to give some definitions that are necessary for the understanding of the manuscript; second of all, we are going to prove our main results using the fixed point theorems, namely, Banach’s contraction principle and Krasnoselskii’s fixed point theorem; in the end, we are giving two examples to illustrate our results.http://dx.doi.org/10.1155/2020/8898292
collection DOAJ
language English
format Article
sources DOAJ
author Karim Guida
Khalid Hilal
Lahcen Ibnelazyz
spellingShingle Karim Guida
Khalid Hilal
Lahcen Ibnelazyz
Existence Results for a Class of Coupled Hilfer Fractional Pantograph Differential Equations with Nonlocal Integral Boundary Value Conditions
Advances in Mathematical Physics
author_facet Karim Guida
Khalid Hilal
Lahcen Ibnelazyz
author_sort Karim Guida
title Existence Results for a Class of Coupled Hilfer Fractional Pantograph Differential Equations with Nonlocal Integral Boundary Value Conditions
title_short Existence Results for a Class of Coupled Hilfer Fractional Pantograph Differential Equations with Nonlocal Integral Boundary Value Conditions
title_full Existence Results for a Class of Coupled Hilfer Fractional Pantograph Differential Equations with Nonlocal Integral Boundary Value Conditions
title_fullStr Existence Results for a Class of Coupled Hilfer Fractional Pantograph Differential Equations with Nonlocal Integral Boundary Value Conditions
title_full_unstemmed Existence Results for a Class of Coupled Hilfer Fractional Pantograph Differential Equations with Nonlocal Integral Boundary Value Conditions
title_sort existence results for a class of coupled hilfer fractional pantograph differential equations with nonlocal integral boundary value conditions
publisher Hindawi Limited
series Advances in Mathematical Physics
issn 1687-9120
1687-9139
publishDate 2020-01-01
description This paper deals with the existence and uniqueness of solutions for a new class of coupled systems of Hilfer fractional pantograph differential equations with nonlocal integral boundary conditions. First of all, we are going to give some definitions that are necessary for the understanding of the manuscript; second of all, we are going to prove our main results using the fixed point theorems, namely, Banach’s contraction principle and Krasnoselskii’s fixed point theorem; in the end, we are giving two examples to illustrate our results.
url http://dx.doi.org/10.1155/2020/8898292
work_keys_str_mv AT karimguida existenceresultsforaclassofcoupledhilferfractionalpantographdifferentialequationswithnonlocalintegralboundaryvalueconditions
AT khalidhilal existenceresultsforaclassofcoupledhilferfractionalpantographdifferentialequationswithnonlocalintegralboundaryvalueconditions
AT lahcenibnelazyz existenceresultsforaclassofcoupledhilferfractionalpantographdifferentialequationswithnonlocalintegralboundaryvalueconditions
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