Boundary value problem for Caputo-Hadamard fractional differential equations

Boundary value problem for Caputo-Hadamard fractional differential equations

The aim of this work is to study the existence and uniqueness solutions for boundary value problem of nonlinear fractional differential equations with Caputo-Hadamard derivative in bounded domain. We used the standard and Krasnoselskii's fixed point theorems. Some new results of existence and u...

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Main Authors: Yacine Arioua, Nouredine Benhamidouche
Format: Article
Language:English
Published: University Constantin Brancusi of Targu-Jiu 2017-09-01
Series:Surveys in Mathematics and its Applications
Subjects:
Caputo-Hadamard derivative
Fractional differential equations
Fixed point theorems.
Online Access:http://www.utgjiu.ro/math/sma/v12/p12_10.pdf
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spelling doaj-fbc9e8bc88eb49bfba401c09479a028d2020-11-24T23:07:43ZengUniversity Constantin Brancusi of Targu-JiuSurveys in Mathematics and its Applications1843-72651842-62982017-09-0112 (2017)103115Boundary value problem for Caputo-Hadamard fractional differential equationsYacine Arioua 0Nouredine Benhamidouche1Laboratory for Pure and Applied Mathematics, University of M'sila, Bp 166 M'sila, 28000, Algeria.Laboratory for Pure and Applied Mathematics, University of M'sila, Bp 166 M'sila, 28000, Algeria.The aim of this work is to study the existence and uniqueness solutions for boundary value problem of nonlinear fractional differential equations with Caputo-Hadamard derivative in bounded domain. We used the standard and Krasnoselskii's fixed point theorems. Some new results of existence and uniqueness solutions for Caputo-Hadamard fractional equations are obtained. http://www.utgjiu.ro/math/sma/v12/p12_10.pdfCaputo-Hadamard derivativeFractional differential equationsFixed point theorems.
collection DOAJ
language English
format Article
sources DOAJ
author Yacine Arioua
Nouredine Benhamidouche
spellingShingle Yacine Arioua
Nouredine Benhamidouche
Boundary value problem for Caputo-Hadamard fractional differential equations
Surveys in Mathematics and its Applications
Caputo-Hadamard derivative
Fractional differential equations
Fixed point theorems.
author_facet Yacine Arioua
Nouredine Benhamidouche
author_sort Yacine Arioua
title Boundary value problem for Caputo-Hadamard fractional differential equations
title_short Boundary value problem for Caputo-Hadamard fractional differential equations
title_full Boundary value problem for Caputo-Hadamard fractional differential equations
title_fullStr Boundary value problem for Caputo-Hadamard fractional differential equations
title_full_unstemmed Boundary value problem for Caputo-Hadamard fractional differential equations
title_sort boundary value problem for caputo-hadamard fractional differential equations
publisher University Constantin Brancusi of Targu-Jiu
series Surveys in Mathematics and its Applications
issn 1843-7265
1842-6298
publishDate 2017-09-01
description The aim of this work is to study the existence and uniqueness solutions for boundary value problem of nonlinear fractional differential equations with Caputo-Hadamard derivative in bounded domain. We used the standard and Krasnoselskii's fixed point theorems. Some new results of existence and uniqueness solutions for Caputo-Hadamard fractional equations are obtained.
topic Caputo-Hadamard derivative
Fractional differential equations
Fixed point theorems.
url http://www.utgjiu.ro/math/sma/v12/p12_10.pdf
work_keys_str_mv AT yacinearioua boundaryvalueproblemforcaputohadamardfractionaldifferentialequations
AT nouredinebenhamidouche boundaryvalueproblemforcaputohadamardfractionaldifferentialequations
_version_ 1725617444421107712

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