Surveys in Mathematics and its Applications

ISSN 1842-6298 (electronic), 1843 - 7265 (print)
 Volume 3 (2008), 1 - 12

BOUNDARY VALUE PROBLEMS FOR DIFFERENTIAL EQUATIONS WITH FRACTIONAL ORDER

Mouffak Benchohra, Samira Hamani and Sotiris K. Ntouyas

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

2000 Mathematics Subject Classification: 26A33; 34K05.
Keywords: Differential equation, Caputo fractional derivative, fractional integral, existence, fixed point.

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Acknowledgment. The authors are grateful to Prof. Tzanko Donchev for his remarks.


Mouffak Benchohra Samira Hamani
Laboratoire de Mathematiques, Laboratoire de Mathematiques,
Universite de Sidi Bel-Abbes, Universite de Sidi Bel-Abbes,
B.P. 89, 22000, Sidi Bel-Abbes, B.P. 89, 22000, Sidi Bel-Abbes,
Algerie. Algerie.
e-mail: benchohra@yahoo.com e-mail: hamani_samira@yahoo.fr


Sotiris K. Ntouyas
Department of Mathematics,
University of Ioannina,
U451 10 Ioannina,
Greece.
e-mail: sntouyas@cc.uoi.gr

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