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

Applications of mathematics

关键词: Hyers-Ulam stability;    Laplace transform method;    fractional differential equation;    Caputo fractional derivative;   

DOI  :  

学科分类：应用数学

来源: Akademie Ved Ceske Republiky

【 摘 要 】

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.

【 授权许可】

Unknown