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Vietnam
Journal of Mathematics 38:4 (2010) 435-451
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A Nonlocal Boundary Value Problem for Fractional
Differential Inclusions of Arbitrary Order Involving
Convex and Non-convex Valued Maps
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Bashir Ahmad and
Naseer Shahzad
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Abstract. This paper
investigates the existence of solutions for a nonlocal boundary value
problem of fractional differential
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.
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2000 Mathematics Subject Classification: 34A12, 34A40.
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Keywords: Fractional differential
inclusions; arbitrary order; nonlocal boundary conditions; existence;
non-linear alternative of Leray Schauder type; fixed point theorems.
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