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Fractional Differential Equations with Anti-Periodic Boundary Conditions |
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| Authors: | Mouffak Benchohra Naima Hamidi Johnny Henderson |
| Institution: | 1. Laboratoire de Mathématiques , Université de Sidi Bel Abbès , Sidi Bel-Abbès , Algérie benchohra@univ-sba.dz;3. Laboratoire de Mathématiques , Université de Sidi Bel Abbès , Sidi Bel-Abbès , Algérie;4. Department of Mathematics , Baylor University , Waco , Texas , USA |
| Abstract: | We are concerned with the existence of solutions of a class of fractional differential equations with anti-periodic boundary conditions involving the Caputo fractional derivative. We give two results: the first is based on Banach's fixed-point theorem, and the second is based on Schauder's fixed-point theorem. |
| Keywords: | Anti-periodic boundary conditions Fixed point Fractional order differential equations |