Periodic solutions for conformable type non-instantaneous impulsive differential equations
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Date
2021-11-30
Authors
Ding, Yuanlin
Wang, Jinrong
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
In this article we study a type of conformable non-instantaneous impulsive equation with periodic effects. We find a Cauchy matrix that can provide solutions of linear and nonlinear problems and prove some of their properties. Also we study the existence of periodic solution of different types of conformable non-instantaneous impulsive differential equation. Some examples also are given to illustrate our theoretical results.
Description
Keywords
Periodic solution, Conformable derivative, Cauchy matrix, Non-instantaneous impulsive differential equations
Citation
Ding, Y., & Wang, J. (2021). Periodic solutions for conformable type non-instantaneous impulsive differential equations. <i>Electronic Journal of Differential Equations, 2021</i>(94), pp. 1-22.