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Existence results for fractional order functional differential equations with infinite delay
Authors:M. Benchohra  A. Ouahab
Affiliation:a Laboratoire de Mathématiques, Université de Sidi Bel Abbès, BP 89, 22000 Sidi Bel Abbès, Algeria
b Department of Mathematics, Baylor University, Waco, TX 76798-7328, USA
c Department of Mathematics, University of Ioannina, 451 10 Ioannina, Greece
Abstract:The Banach fixed point theorem and the nonlinear alternative of Leray-Schauder type are used to investigate the existence of solutions for fractional order functional and neutral functional differential equations with infinite delay.
Keywords:Functional differential equations   Fractional derivative   Fractional integral   Existence   Fixed point
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