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Existence of solutions for sequential fractional differential equations with four-point nonlocal fractional integral boundary conditions

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Central European Journal of Physics

Abstract

This paper investigates the existence of solutions for a nonlinear boundary value problem of sequential fractional differential equations with four-point nonlocal Riemann-Liouville type fractional integral boundary conditions. We apply Banach’s contraction principle and Krasnoselskii’s fixed point theorem to establish the existence of results. Some illustrative examples are also presented.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah, 21589, Saudi Arabia

    Bashir Ahmad, Ahmed Alsaedi & Hana Al-Hutami

Authors
  1. Bashir Ahmad
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  2. Ahmed Alsaedi
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  3. Hana Al-Hutami
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Corresponding author

Correspondence to Bashir Ahmad.

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Ahmad, B., Alsaedi, A. & Al-Hutami, H. Existence of solutions for sequential fractional differential equations with four-point nonlocal fractional integral boundary conditions. centr.eur.j.phys. 11, 1487–1493 (2013). https://doi.org/10.2478/s11534-013-0193-5

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  • DOI: https://doi.org/10.2478/s11534-013-0193-5

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