Surveys in Mathematics and its Applications

ISSN 1842-6298 (electronic), 1843-7265 (print)
 Volume 5 (2010), 99 -- 111

FRACTIONAL ORDER DIFFERENTIAL INCLUSIONS ON THE HALF-LINE

Mouffak Benchohra and Naima Hamidi

Abstract. We are concerned with the existence of bounded solutions of a boundary value problem on an unbounded domain for fractional order differential inclusions involving the Caputo fractional derivative. Our results are based on the fixed point theorem of Bohnnenblust-Karlin combined with the diagonalization method.

2010 Mathematics Subject Classification: 26A33, 26A42, 34A60, 34B15.
Keywords: Boundary value problem; fractional order differential inclusions; fixed point; infinite intervals; diagonalization process.

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Mouffak Benchohra Naima Hamidi
Laboratory of Mathematics, Laboratory of Mathematics,
University of Sidi Bel Abbès, University of Sidi Bel Abbès,
P.O Box 89, Sidi Bel-Abbès, 22000, P.O Box 89, Sidi Bel-Abbès, 22000,
Algeria. Algeria.
e-mail: benchohra@univ-sba.dz e-mail: hamidi.naima@yahoo.fr

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