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Research Article Open access CC BY 4.0

On Existence of Solution for Higher-order Fractional Differential Inclusions with Anti-periodic Type Boundary Conditions

Mohammed M. Matar, Fayez A. El-Bohisie

Journal of Advances in Mathematics and Computer Science · pp. 328–340 · Published 20 Feb 2015

10.9734/BJMCS/2015/15367

Abstract

This paper investigates the existence of solutions for fractional differential inclusions of order q ∈ (4, 5) with anti-periodic type boundary conditions by means of some standard fixed point theorems for inclusions. The existence results are established for convex as well as the nonconvex multivalued maps. Some illustrative examples are introduced to explain the applicability of the theory.

Existence Fractional differential inclusions anti-periodic boundary condition fixed point theorems multivalued maps.

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