Hyers-Ulam stability of fractional linear differential equations involving Caputo fractional derivatives.

Autor:	Wang, Chun
Další autoři:	Xu, Tian-Zhou
Jazyk:	angličtina
Předmět:	matematika mathematics články journal articles Hyers-Ulam stability Laplace transform method fractional differential equation Caputo fractional derivative
Druh dokumentu:	Non-fiction
ISSN:	0862-7940
Abstrakt:	Abstract: The aim of this paper is to study the stability of fractional differential equations in Hyers-Ulam sense. Namely, if we replace a given fractional differential equation by a fractional differential inequality, we ask when the solutions of the fractional differential inequality are close to the solutions of the strict differential equation. In this paper, we investigate the Hyers-Ulam stability of two types of fractional linear differential equations with Caputo fractional derivatives. We prove that the two types of fractional linear differential equations are Hyers-Ulam stable by applying the Laplace transform method. Finally, an example is given to illustrate the theoretical results.
Databáze:	Katalog Knihovny AV ČR
Externí odkaz:	Full text from SpringerLink