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ISSN:2164-6457 (print)
ISSN:2164-6473 (online)
Journal of Applied Nonlinear Dynamics
Miguel A. F. Sanjuan (editor), Albert C.J. Luo (editor)
Miguel A. F. Sanjuan (editor)

Department of Physics, Universidad Rey Juan Carlos, 28933 Mostoles, Madrid, Spain

Email: miguel.sanjuan@urjc.es

Albert C.J. Luo (editor)

Department of Mechanical and Industrial Engineering, Southern Illinois University Ed-wardsville, IL 62026-1805, USA

Fax: +1 618 650 2555 Email: aluo@siue.edu

Conformable Impulsive Delay Differential Equations

Journal of Applied Nonlinear Dynamics 13(1) (2024) 177--189 | DOI:10.5890/JAND.2024.03.012

Madhuri Sunkavilli, G.V.S.R. Deekshitulu

Department of Mathematics, UCEK, JNTUK, Kakinada, A.P., India

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Abstract

This paper studies the conformable delay differential systems with linear impulses. Firstly, with the help of impulsive delayed exponential matrix function of conformable version and the variation of constants method, we obtain a representation of solutions to homogeneous and non-homogeneous differential equations. Secondly, the existence and uniqueness of solutions to nonlinear conformable impulsive delay differential equations are proved by using Schaefer's fixed-point theorem and Banach fixed-point principle. Finally, an example is given to illustrate our theoretical results.

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