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Vietnam Journal of Mathematics 38:4 (2010) 435-451

 

A Nonlocal Boundary Value Problem for Fractional Dierential Inclusions of Arbitrary Order Involving Convex and Non-convex Valued Maps

Bashir Ahmad and Naseer Shahzad

Abstract.  This paper investigates the existence of solutions for a nonlocal boundary value problem of fractional dierential inclusions of arbitrary order involving convex and non-convex valued maps. Our results are based on the nonlinear alternative of Leray Schauder type and a fixed point theorem for generalized cotractions.

2000 Mathematics Subject Classification: 34A12, 34A40.

Keywords: Fractional dierential inclusions; arbitrary order; nonlocal boundary conditions; existence; non-linear alternative of Leray Schauder type; fixed point theorems.

 

 

 

 

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