Existence and Uniqueness for a System of Caputo-Hadamard Fractional Differential Equations with Multipoint Boundary Conditions

In this paper, we study existence and uniqueness of solutions for a system of Caputo-Hadamard fractional differential equations supplemented with multi-point boundary conditions. Our results are based on some classical fixed point theorems such as Banach contraction mapping principle, Leray-Schauder...

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Main Authors: S. Nageswara Rao, Ahmed Hussein Msmali, Manoj Singh, Abdullah Ali H. Ahmadini
Format: Article
Language:English
Published: Wiley 2020-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2020/8821471
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author S. Nageswara Rao
Ahmed Hussein Msmali
Manoj Singh
Abdullah Ali H. Ahmadini
author_facet S. Nageswara Rao
Ahmed Hussein Msmali
Manoj Singh
Abdullah Ali H. Ahmadini
author_sort S. Nageswara Rao
collection DOAJ
description In this paper, we study existence and uniqueness of solutions for a system of Caputo-Hadamard fractional differential equations supplemented with multi-point boundary conditions. Our results are based on some classical fixed point theorems such as Banach contraction mapping principle, Leray-Schauder fixed point theorems. At last, we have presented two examples for the illustration of main results.
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institution Kabale University
issn 2314-8896
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language English
publishDate 2020-01-01
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spelling doaj-art-f2c4410b696844ab9edc610c7fdec8d22025-02-03T01:25:46ZengWileyJournal of Function Spaces2314-88962314-88882020-01-01202010.1155/2020/88214718821471Existence and Uniqueness for a System of Caputo-Hadamard Fractional Differential Equations with Multipoint Boundary ConditionsS. Nageswara Rao0Ahmed Hussein Msmali1Manoj Singh2Abdullah Ali H. Ahmadini3Department of Mathematics, Faculty of Science, Jazan University, Jazan, Saudi ArabiaDepartment of Mathematics, Faculty of Science, Jazan University, Jazan, Saudi ArabiaDepartment of Mathematics, Faculty of Science, Jazan University, Jazan, Saudi ArabiaDepartment of Mathematics, Faculty of Science, Jazan University, Jazan, Saudi ArabiaIn this paper, we study existence and uniqueness of solutions for a system of Caputo-Hadamard fractional differential equations supplemented with multi-point boundary conditions. Our results are based on some classical fixed point theorems such as Banach contraction mapping principle, Leray-Schauder fixed point theorems. At last, we have presented two examples for the illustration of main results.http://dx.doi.org/10.1155/2020/8821471
spellingShingle S. Nageswara Rao
Ahmed Hussein Msmali
Manoj Singh
Abdullah Ali H. Ahmadini
Existence and Uniqueness for a System of Caputo-Hadamard Fractional Differential Equations with Multipoint Boundary Conditions
Journal of Function Spaces
title Existence and Uniqueness for a System of Caputo-Hadamard Fractional Differential Equations with Multipoint Boundary Conditions
title_full Existence and Uniqueness for a System of Caputo-Hadamard Fractional Differential Equations with Multipoint Boundary Conditions
title_fullStr Existence and Uniqueness for a System of Caputo-Hadamard Fractional Differential Equations with Multipoint Boundary Conditions
title_full_unstemmed Existence and Uniqueness for a System of Caputo-Hadamard Fractional Differential Equations with Multipoint Boundary Conditions
title_short Existence and Uniqueness for a System of Caputo-Hadamard Fractional Differential Equations with Multipoint Boundary Conditions
title_sort existence and uniqueness for a system of caputo hadamard fractional differential equations with multipoint boundary conditions
url http://dx.doi.org/10.1155/2020/8821471
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