Surveys in Mathematics and its Applications

ISSN 1842-6298 (electronic), 1843-7265 (print)
 Volume 12 (2017), 103 -- 115

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BOUNDARY VALUE PROBLEM FOR CAPUTO-HADAMARD FRACTIONAL DIFFERENTIAL EQUATIONS

Yacine Arioua and Nouredine Benhamidouche

Abstract. 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.

2010 Mathematics Subject Classification: 34A08; 34A37.
Keywords: Caputo-Hadamard derivative; Fractional differential equations; Fixed point theorems.

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Arioua Yacine
Laboratory for Pure and Applied Mathematics, University of M'sila, Bp 166 M'sila, 28000,
Algeria.
e-mail: ariouayacine@ymail.com


Benhamidouche Nouredine
Laboratory for Pure and Applied Mathematics, University of M'sila, Bp 166 M'sila, 28000,
Algeria.
e-mail: benhamidouche@yahoo.fr

http://www.utgjiu.ro/math/sma