Razumikhin qualitative analyses of Volterra integro-fractional delay differential equation with caputo derivatives

Autor:	Hamdullah Şevli, Cemil Tunç, John R. Graef
Rok vydání:	2021
Předmět:	Lyapunov function Numerical Analysis Applied Mathematics Mathematics::Classical Analysis and ODEs Zero (complex analysis) Delay differential equation Stability (probability) Fractional calculus symbols.namesake Exponential stability Modeling and Simulation symbols Applied mathematics Mathematics
Zdroj:	Communications in Nonlinear Science and Numerical Simulation. 103:106037
ISSN:	1007-5704
DOI:	10.1016/j.cnsns.2021.106037
Popis:	A non-linear system of Volterra integro-fractional delay differential equations with Caputo fractional derivatives is considered. New sufficient conditions for uniform stability, asymptotic stability, and Mittag-Leffler stability of the zero solution of the unperturbed system, and the boundedness of all solutions of the perturbed system, are presented. The technique of proof involves the Razumikhin method with an appropriate Lyapunov function. For illustrative purposes, two examples are provided. (C) 2021 Published by Elsevier B.V.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c63c80df11afa98e4bd49264ced4388c https://doi.org/10.1016/j.cnsns.2021.106037 Zobrazit plný text záznamu Full Text from ScienceDirect