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Existence of Integral and Anti-periodic Boundary Valued Problem of Fractional Order \(0<\alpha \le 3\)

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Abstract

We are concerned with the existence of solutions of a class of fractional differential equations with anti-periodic and integral boundary conditions involving the Caputo fractional derivative with order \(\alpha \in (0,3]\). We give three results based on Banach fixed-point theorem, and Schauder fixed-point theorems.

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Acknowledgments

The author thanks the referees for their comments that led to the improvement of the original manuscript.

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Authors and Affiliations

  1. Mathematics Department, Al-Azhar University-Gaza, Gaza, Palestine

    Mohammed M. Matar

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  1. Mohammed M. Matar
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Correspondence to Mohammed M. Matar.

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Communicated by Rosihan M. Ali, Dato’.

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Matar, M.M. Existence of Integral and Anti-periodic Boundary Valued Problem of Fractional Order \(0<\alpha \le 3\) . Bull. Malays. Math. Sci. Soc. 40, 959–973 (2017). https://doi.org/10.1007/s40840-016-0332-4

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  • DOI: https://doi.org/10.1007/s40840-016-0332-4

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