A New Result for ψ-Hilfer Fractional Pantograph-Type Langevin Equation and Inclusions

Hamid Lmou, Khalid Hilal, Ahmed Kajouni and Serkan Araci

Journal of Mathematics, 2022, vol. 2022, 1-10

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.

Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:2441628

DOI: 10.1155/2022/2441628

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