Ulam’s stability for some linear conformable fractional differential equations

Autor:	Jiale Sheng, Sen Wang, Wei Jiang, Rui Li
Jazyk:	angličtina
Rok vydání:	2020
Předmět:	Mathematics::Functional Analysis Algebra and Number Theory Partial differential equation Laplace transform Mathematics::Operator Algebras Applied Mathematics lcsh:Mathematics Mathematical analysis Ode Conformable fractional Laplace transform Conformable fractional derivative Conformable matrix lcsh:QA1-939 Stability (probability) Fractional calculus Nonlinear Sciences::Chaotic Dynamics Linear differential equation Ordinary differential equation Ulam–Hyers and Ulam–Hyers–Rassias stability Analysis Linear differential equations Mathematics
Zdroj:	Advances in Difference Equations, Vol 2020, Iss 1, Pp 1-18 (2020)
ISSN:	1687-1847
DOI:	10.1186/s13662-020-02672-3
Popis:	In this paper, by introducing the concepts of Ulam type stability for ODEs into the equations involving conformable fractional derivative, we utilize the technique of conformable fractional Laplace transform to investigate the Ulam–Hyers and Ulam–Hyers–Rassias stability for several kinds of linear differential equations in the frame of conformable fractional derivative.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6ce45e77f2dc7383e649881531403ab7 http://link.springer.com/article/10.1186/s13662-020-02672-3 Zobrazit plný text záznamu Plný text ve formátu PDF Plný text ve formátu HTML
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