A Coupled System of Caputo–Hadamard Fractional Hybrid Differential Equations with Three-Point Boundary Conditions. (11th July 2022)

• Record Type: Journal Article
• Authors: Arab, Meraa; Awadalla, Muath
• Other Names: Gassara Hamdi Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2022(2022)
• Publication Date: 2022-07-11
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2022/1500577
• Languages: English
• ISSNs: 1024-123X

Abstract

Abstract : This article presents a study of the existence and uniqueness of solutions for a system of hybrid fractional differential equations involving fractional derivatives of the Caputo-Hadamard type with three-point hybrid boundary conditions. In addition to this, the "Hyres–Ulam" stability of the solutions for this type of equation is verified, and finally a numerical example was presented to support our theoretical results.