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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