Existence of solutions to differential inclusions with fractional order and impulses.

Benchohra, Mouffak; Hamani, Samira; Nieto, Juan Jose; Slimani, Boualem Attou

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Impulsive discontinuous hyperbolic partial differential equations of fractional order on Banach algebras.

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Existence Results for Fractional Functional Differential Inclusions with Infinite Delay and Applications to Control Theory

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Mathematics Subject Classification: 26A33, 34A60, 34K40, 93B05 In this paper we investigate the existence of solutions for fractional functional differential inclusions with infinite delay. In the last section we present an application of our main results in control theory.

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Fractional Calculus of the Generalized Wright Function

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Mathematics Subject Classification: 26A33, 33C20. The paper is devoted to the study of the fractional calculus of the generalized Wright function pΨq(z) defined for z ∈ C, complex ai, bj ∈ C and real αi, βj ∈ R (i = 1, 2, · · · p; j = 1, 2, · · · , q) by the series pΨq (z) It is proved that the Riemann-Liouville fractional integrals and derivative of the Wright function are also the Wright functions but of greater order. Special cases are considered. * The present...