On Existence of Solution for Higher-order Fractional Differential Inclusions with Anti-periodic Type Boundary Conditions
Mohammed M. Matar *
Mathematics Department, Al-Azhar University-Gaza, Palestine.
Fayez A. El-Bohisie
Mathematics Department, Al-Azhar University-Gaza, Palestine.
*Author to whom correspondence should be addressed.
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.
Keywords: Existence, Fractional differential inclusions, anti-periodic boundary condition, fixed point theorems, multivalued maps.