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Existence of solution involving Genocchi numbers for nonlocal anti-periodic boundary value problem of arbitrary fractional order

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Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas Aims and scope Submit manuscript

Abstract

In this article, we investigate the existence of solutions for boundary value problem of fractional differential equations with anti-periodic and fractional integral boundary conditions. The obtained solution contains the so-called Genocchi coefficients. The existence results are obtained by applying Banach’s contraction mapping principle, Schauder’s fixed point theorem, Leray-Schauder degree theory, and Krasnoselskii’s fixed point. An example is introduced to explain the applicability of these theorems.

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Authors and Affiliations

  1. Al Azhar University, Gaza, State of 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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Matar, M.M. Existence of solution involving Genocchi numbers for nonlocal anti-periodic boundary value problem of arbitrary fractional order. RACSAM 112, 945–956 (2018). https://doi.org/10.1007/s13398-017-0403-x

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  • DOI: https://doi.org/10.1007/s13398-017-0403-x

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