Stability of Fractional-Order Quasi-Linear Impulsive Integro-Differential Systems with Multiple Delays

Autor:	Mathiyalagan Kalidass, Shengda Zeng, Mehmet Yavuz
Jazyk:	angličtina
Rok vydání:	2022
Předmět:	fractional-order system quasi-linear system impulse integro-differential equation stability multiple delays Mathematics QA1-939
Zdroj:	Axioms, Vol 11, Iss 7, p 308 (2022)
Druh dokumentu:	article
ISSN:	2075-1680
DOI:	10.3390/axioms11070308
Popis:	In this paper, some novel conditions for the stability results for a class of fractional-order quasi-linear impulsive integro-differential systems with multiple delays is discussed. First, the existence and uniqueness of mild solutions for the considered system is discussed using contraction mapping theorem. Then, novel conditions for Mittag–Leffler stability (MLS) of the considered system are established by using well known mathematical techniques, and further, the two corollaries are deduced, which still gives some new results. Finally, an example is given to illustrate the applications of the results.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/700127a449644c249a0256498c10e842 Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
Nepřihlášeným uživatelům se plný text nezobrazuje	K zobrazení výsledku je třeba se přihlásit.