Hilfer-Hadamard Nonlocal Integro-Multipoint Fractional Boundary Value Problems. (17th December 2021)

• Record Type: Journal Article
• Authors: Promsakon, Chanon; Ntouyas, Sotiris K.; Tariboon, Jessada
• Other Names: Minhós Feliz Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2021(2021)
• Publication Date: 2021-12-17
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2021/8031524
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : This paper is concerned with the existence and uniqueness of solutions for a new class of boundary value problems, consisting by Hilfer-Hadamard fractional differential equations, supplemented with nonlocal integro-multipoint boundary conditions. The existence of a unique solution is obtained via Banach contraction mapping principle, while the existence results are established by applying Schaefer and Krasnoselskii fixed point theorems as well as Leray-Schauder nonlinear alternative. Examples illustrating the main results are also constructed.