A New Result for ψ-Hilfer Fractional Pantograph-Type Langevin Equation and Inclusions. (26th September 2022)

• Record Type: Journal Article
• Authors: Lmou, Hamid; Hilal, Khalid; Kajouni, Ahmed
• Other Names: Araci Serkan Academic Editor.
• Is Part Of: Journal of mathematics. Volume 2022(2022)
• Publication Date: 2022-09-26
• Subjects: Mathematics -- Periodicals; Mathematics; Periodicals; 510
• DOI: 10.1155/2022/2441628
• Languages: English
• ISSNs: 2314-4629

Abstract

Abstract : In this paper, we deal with the existence and uniqueness of solution for ψ -Hilfer Langevin fractional pantograph differential equation and inclusion; these types of pantograph equations are a special class of delay differential equations. The existence and uniqueness results are obtained by making use of the Krasnoselskii fixed-point theorem and Banach contraction principle, and for the inclusion version, we use the Martelli fixed-point theorem to get the existence result. In the end, we are giving an example to illustrate our results.