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SOME EXISTENCE RESULTS FOR BOUNDARY VALUE PROBLEMS OF FRACTIONAL DIFFERENTIAL INCLUSIONS WITH NON-SEPARATED BOUNDARY CONDITIONS

By Bashir Ahmad A and Sotiris K. Ntouyas B

Abstract

In this paper, we study the existence of solutions for a boundary value problem of differential inclusions of order q ∈ (1,2] with non-separated 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. Key words and phrases: Fractional differential inclusions; non-separated boundary conditions; existence; nonlinear alternative of Leray Schauder type; fixed point theorems

Year: 2014
OAI identifier: oai:CiteSeerX.psu:10.1.1.417.3955
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