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On Coupled Systems for Hilfer Fractional Differential Equations with Nonlocal Integral Boundary Conditions

Author

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  • Athasit Wongcharoen
  • Sotiris K. Ntouyas
  • Jessada Tariboon
  • Kottakkaran Sooppy Nisar

Abstract

In this paper, we study a coupled system involving Hilfer fractional derivatives with nonlocal integral boundary conditions. Existence and uniqueness results are obtained by applying Leray-Schauder alternative, Krasnoselskii’s fixed point theorem, and Banach’s contraction mapping principle. Examples illustrating our results are also presented.

Suggested Citation

  • Athasit Wongcharoen & Sotiris K. Ntouyas & Jessada Tariboon & Kottakkaran Sooppy Nisar, 2020. "On Coupled Systems for Hilfer Fractional Differential Equations with Nonlocal Integral Boundary Conditions," Journal of Mathematics, Hindawi, vol. 2020, pages 1-12, July.
    • Handle: RePEc:hin:jjmath:2875152
    DOI: 10.1155/2020/2875152
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    Cited by:

    1. Athasit Wongcharoen & Sotiris K. Ntouyas & Jessada Tariboon, 2020. "Boundary Value Problems for Hilfer Fractional Differential Inclusions with Nonlocal Integral Boundary Conditions," Mathematics, MDPI, vol. 8(11), pages 1-11, October.

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