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

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

Advances in Mathematical Physics, 2021, vol. 2021, 1-9

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.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlamp:5554619

DOI: 10.1155/2021/5554619

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