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Functional differential inclusions with integral boundary conditions.

Benchohra, M.; Hamani, S.; Henderson, J. — 2007

Electronic Journal of Qualitative Theory of Differential Equations [electronic only]

Impulsive Fractional Differential Inclusions Involving the Caputo Fractional Derivative

Ait Dads, E.; Benchohra, M.; Hamani, S. — 2009

Fractional Calculus and Applied Analysis

Mathematics Subject Classification: 26A33, 34A37. In this paper, we establish sufficient conditions for the existence of solutions for a class of initial value problem for impulsive fractional differential inclusions involving the Caputo fractional derivative. Both cases of convex and nonconvex valued right-hand side are considered. The topological structure of the set of solutions is also considered.

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