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

Athasit Wongcharoen, Sotiris K. Ntouyas, Phollakrit Wongsantisuk and Jessada Tariboon

Advances in Mathematical Physics, 2021, vol. 2021, issue 1

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 ψ‐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.

Date: 2021
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https://doi.org/10.1155/2021/5554619

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlamp:v:2021:y:2021:i:1:n:5554619

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