Stability for conformable impulsive differential equations

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dc.contributor.authorDing, Yuanlin
dc.contributor.authorFeckan, Michal
dc.contributor.authorWang, Jinrong
dc.date.accessioned2021-10-11T19:19:50Z
dc.date.available2021-10-11T19:19:50Z
dc.date.issued2020-12-08
dc.description.abstractIn 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.
dc.description.departmentMathematics
dc.formatText
dc.format.extent19 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationDing, Y., Fečkan, M., & Wang, J. (2020). Stability for conformable impulsive differential equations. <i>Electronic Journal of Differential Equations, 2020</i>(118), pp. 1-19.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/14629
dc.language.isoen
dc.publisherTexas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2020, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectConformable derivative
dc.subjectImpulsive differential equation
dc.subjectAsymptotic stability
dc.subjectGeneralized Ulam-Hyers-Rassias stability
dc.titleStability for conformable impulsive differential equations
dc.typeArticle

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