Existence Results for a Nonlocal Coupled System of Sequential Fractional Differential Equations Involving ψ-Hilfer Fractional Derivatives. (23rd April 2021)

• Record Type: Journal Article
• Authors: Wongcharoen, Athasit; Ntouyas, Sotiris K.; Wongsantisuk, Phollakrit; Tariboon, Jessada
• Other Names: Shmarev Sergey Academic Editor.
• Is Part Of: Advances in mathematical physics. Volume 2021(2021)
• Publication Date: 2021-04-23
• Subjects: Mathematical physics -- Periodicals; Mathematical physics; Periodicals; 530.15
• DOI: 10.1155/2021/5554619
• Languages: English
• ISSNs: 1687-9120

Abstract

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.