Yuanlin Ding, Michal Feckan, Jinrong Wang
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.
Submitted October 4, 2020. Published December 8, 2020.
Math Subject Classifications: 34A37, 34A08, 34D20.
Key Words: Conformable derivative; impulsive differential equation;
asymptotic stability; generalized Ulam-Hyers-Rassias stability.
DOI: 10.58997/ejde.2020.118
Show me the PDF file (353 KB), TEX file for this article.
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Yuanlin Ding Department of Mathematics Guizhou University Guiyang, Guizhou 550025, China email: yldingmath@126.com |
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Michal Feckan Department of Mathematical Analysis and Numerical Mathematics Faculty of Mathematics, Physics and Informatics Comenius University in Bratislava Mlynsk\'a dolina, 842 48 Bratislava, Slovakia email: Michal.Feckan@fmph.uniba.sk |
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Jinrong Wang Department of Mathematics Guizhou University Guiyang, Guizhou 550025, China email: wjr9668@126.com |
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