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Existence Results for a Nonlocal Coupled System of Sequential Fractional Differential Equations Involving - Hilfer Fractional Derivatives

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  • Athasit Wongcharoen
  • Sotiris K. Ntouyas
  • Phollakrit Wongsantisuk
  • Jessada Tariboon

Abstract

In this article, we discuss the existence and uniqueness of solutions for a new class of coupled system of sequential fractional differential equations involving - Hilfer fractional derivatives, supplemented with multipoint boundary conditions. We make use of Banach’s fixed point theorem to obtain the uniqueness result and the Leray-Schauder alternative to obtain the existence result. Examples illustrating the main results are also constructed.

Suggested Citation

  • Athasit Wongcharoen & Sotiris K. Ntouyas & Phollakrit Wongsantisuk & Jessada Tariboon, 2021. "Existence Results for a Nonlocal Coupled System of Sequential Fractional Differential Equations Involving - Hilfer Fractional Derivatives," Advances in Mathematical Physics, Hindawi, vol. 2021, pages 1-9, April.
    • Handle: RePEc:hin:jnlamp:5554619
    DOI: 10.1155/2021/5554619
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