Boundary value problems for differential equations with fractional order

In this paper, we shall establish sufficient conditions for the existence of solutions for a first order boundary value problem for fractional differential equations.

Bibliographic Details
Main Authors: Mouffak Benchohra, Samira Hamani, Sotiris K. Ntouyas
Format: Article
Language:English
Published: University Constantin Brancusi of Targu-Jiu 2008-03-01
Series:Surveys in Mathematics and its Applications
Subjects:
Online Access:http://www.utgjiu.ro/math/sma/v03/p01.pdf
id doaj-e2f20f9970be43f1bf363f4a2715a96d
record_format Article
spelling doaj-e2f20f9970be43f1bf363f4a2715a96d2020-11-25T00:19:33ZengUniversity Constantin Brancusi of Targu-JiuSurveys in Mathematics and its Applications1843-72651842-62982008-03-013 (2008)112Boundary value problems for differential equations with fractional orderMouffak BenchohraSamira HamaniSotiris K. NtouyasIn this paper, we shall establish sufficient conditions for the existence of solutions for a first order boundary value problem for fractional differential equations.http://www.utgjiu.ro/math/sma/v03/p01.pdfDifferential equationCaputo fractional derivativeFractional integralExistenceFixed point
collection DOAJ
language English
format Article
sources DOAJ
author Mouffak Benchohra
Samira Hamani
Sotiris K. Ntouyas
spellingShingle Mouffak Benchohra
Samira Hamani
Sotiris K. Ntouyas
Boundary value problems for differential equations with fractional order
Surveys in Mathematics and its Applications
Differential equation
Caputo fractional derivative
Fractional integral
Existence
Fixed point
author_facet Mouffak Benchohra
Samira Hamani
Sotiris K. Ntouyas
author_sort Mouffak Benchohra
title Boundary value problems for differential equations with fractional order
title_short Boundary value problems for differential equations with fractional order
title_full Boundary value problems for differential equations with fractional order
title_fullStr Boundary value problems for differential equations with fractional order
title_full_unstemmed Boundary value problems for differential equations with fractional order
title_sort boundary value problems for differential equations with fractional order
publisher University Constantin Brancusi of Targu-Jiu
series Surveys in Mathematics and its Applications
issn 1843-7265
1842-6298
publishDate 2008-03-01
description In this paper, we shall establish sufficient conditions for the existence of solutions for a first order boundary value problem for fractional differential equations.
topic Differential equation
Caputo fractional derivative
Fractional integral
Existence
Fixed point
url http://www.utgjiu.ro/math/sma/v03/p01.pdf
work_keys_str_mv AT mouffakbenchohra boundaryvalueproblemsfordifferentialequationswithfractionalorder
AT samirahamani boundaryvalueproblemsfordifferentialequationswithfractionalorder
AT sotiriskntouyas boundaryvalueproblemsfordifferentialequationswithfractionalorder
_version_ 1725371379759448064