Ulam–Hyers stability of impulsive integrodifferential equations with Riemann–Liouville boundary conditions

Autor:	Akbar Zada, Jehad Alzabut, Hira Waheed, Ioan-Lucian Popa
Jazyk:	angličtina
Rok vydání:	2020
Předmět:	Caputo derivative Riemann–Liouville integral Impulse Ulam–Hyers stability Fixed point theory Mathematics QA1-939
Zdroj:	Advances in Difference Equations, Vol 2020, Iss 1, Pp 1-50 (2020)
Druh dokumentu:	article
ISSN:	1687-1847
DOI:	10.1186/s13662-020-2534-1
Popis:	Abstract This paper is concerned with a class of impulsive implicit fractional integrodifferential equations having the boundary value problem with mixed Riemann–Liouville fractional integral boundary conditions. We establish some existence and uniqueness results for the given problem by applying the tools of fixed point theory. Furthermore, we investigate different kinds of stability such as Ulam–Hyers stability, generalized Ulam–Hyers stability, Ulam–Hyers–Rassias stability, and generalized Ulam–Hyers–Rassias stability. Finally, we give two examples to demonstrate the validity of main results.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/5220ae81e1bf4c268a99ce9f289ce056 Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
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