Stability for conformable impulsive differential equations
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Date
2020-12-08
Authors
Ding, Yuanlin
Feckan, Michal
Wang, Jinrong
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
In this article, we study impulsive differential equations with conformable derivatives. Firstly, we derive suitable formulas for solving linear impulsive conformable Cauchy problems. Then, we show that the linear problem has asymptotic stability, and the nonlinear problem has generalized Ulam-Hyers-Rassias stability. Also we illustrate our results with examples.
Description
Keywords
Conformable derivative, Impulsive differential equation, Asymptotic stability, Generalized Ulam-Hyers-Rassias stability
Citation
Ding, Y., Fečkan, M., & Wang, J. (2020). Stability for conformable impulsive differential equations. <i>Electronic Journal of Differential Equations, 2020</i>(118), pp. 1-19.
Rights
Attribution 4.0 International