Analysis of a coupled system of fractional differential equations with non-separated boundary conditions

Autor:	Danfeng Luo, Akbar Zada, Shaleena Shaleena, Manzoor Ahmad
Jazyk:	angličtina
Rok vydání:	2020
Předmět:	Non-separated coupled boundary conditions Fixed point approach Ulam’s type stabilities Mathematics QA1-939
Zdroj:	Advances in Difference Equations, Vol 2020, Iss 1, Pp 1-24 (2020)
Druh dokumentu:	article
ISSN:	1687-1847
DOI:	10.1186/s13662-020-03045-6
Popis:	Abstract Solutions to fractional differential equations is an emerging part of current research, since such equations appear in different applied fields. A study of existence, uniqueness, and stability of solutions to a coupled system of fractional differential equations with non-separated boundary conditions is the main target of this paper. The existence and uniqueness results are obtained by employing the Leray–Schauder fixed point theorem and the Banach contraction principle. Additionally, we examine different types of stabilities in the sense of Ulam–Hyers such as Ulam–Hyers stability, generalized Ulam–Hyers stability, Ulam–Hyers–Rassias stability, and generalized Ulam–Hyers–Rassias stability. To prove the effectiveness of our main results, we study a few interesting examples.
Databáze:	Directory of Open Access Journals
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