Existence and Uniqueness of Solutions for Coupled Impulsive Fractional Pantograph Differential Equations with Antiperiodic Boundary Conditions. (17th May 2021)

• Record Type: Journal Article
• Authors: Guida, Karim; Ibnelazyz, Lahcen; Hilal, Khalid; Melliani, Said
• Other Names: Turco Emilio Academic Editor.
• Is Part Of: Advances in mathematical physics. Volume 2021(2021)
• Publication Date: 2021-05-17
• Subjects: Mathematical physics -- Periodicals; Mathematical physics; Periodicals; 530.15
• DOI: 10.1155/2021/6616899
• Languages: English
• ISSNs: 1687-9120

Abstract

Abstract : In this paper, we investigate the solutions of coupled fractional pantograph differential equations with instantaneous impulses. The work improves some existing results and contributes toward the development of the fractional differential equation theory. We first provide some definitions that will be used throughout the paper; after that, we give the existence and uniqueness results that are based on Banach's contraction principle and Krasnoselskii's fixed point theorem. Two examples are given in the last part to support our study.