Ulam–Hyers–Rassias stability for nonlinear Ψ -Hilfer stochastic fractional differential equation with uncertainty

Advances in Difference Equations

article

Chaharpashlou, Reza¹  Saadati, Reza¹  Atangana, Abdon² 

[1] School of Mathematics, Iran University of Science and Technology;Institute for Groundwater Studies (IGS) Faculty: Natural and Agricultural Sciences, University of the Free State

关键词: Fuzzy controller function;    Random operator;    Ulam–Hyers–Rassias stability;    Ψ -Hilfer stochastic fractional derivative random operator;    Time-varying delays;   

DOI  :  10.1186/s13662-020-02797-5

学科分类：航空航天科学

来源: SpringerOpen

【 摘 要 】

We consider a nonlinear Cauchy problem involving the Ψ-Hilfer stochastic fractional derivative with uncertainty, and we give a stability result. Using fixed point theory, we are able to provide a fuzzy Ulam–Hyers–Rassias stability for the considered nonlinear stochastic fractional differential equations.

【 授权许可】

CC BY