Surveys in Mathematics and its Applications

ISSN 1842-6298 (electronic), 1843-7265 (print)
 Volume 6 (2011), 175 -- 193

BOUNDARY VALUE PROBLEMS FOR FRACTIONAL DIFFERENTIAL INCLUSIONS WITH FOUR-POINT INTEGRAL BOUNDARY CONDITIONS

Bashir Ahmad and Sotiris K. Ntouyas

Abstract. In this paper, we discuss the existence of solutions for a boundary value problem of second order fractional differential inclusions with four-point integral boundary conditions involving convex and non-convex multivalued maps. Our results are based on the nonlinear alternative of Leray Schauder type and some suitable theorems of fixed point theory.

2010 Mathematics Subject Classification: 26A33; 34A60; 34B10; 34B15.
Keywords: Fractional differential inclusions; four-point integral boundary conditions; existence; nonlinear alternative of Leray Schauder type; fixed point theorems.

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Bashir Ahmad Sotiris K. Ntouyas
Department of Mathematics, Department of Mathematics,
Faculty of Science, Univeristy of Ioannina,
King Abdulaziz University, 451 10 Ioannina, Greece.
P.O. Box 80203, Jeddah 21589, Saudi Arabia. e-mail: sntouyas@uoi.gr
e-mail: bashir_qau@yahoo.com http://www.math.uoi.gr/sntouyas

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