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

被引：16

作者：

Chaharpashlou, Reza ^{[1
]}

Saadati, Reza ^{[1
]}

Atangana, Abdon ^{[2
]}

机构：

[1] Iran Univ Sci & Technol, Sch Math, Tehran, Iran

[2] Univ Free State, Inst Groundwater Studies IGS, Fac Nat & Agr Sci, ZA-9300 Bloemfontein, South Africa

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2020年 / 2020卷 / 01期

关键词：

Fuzzy controller function; Random operator; Ulam-Hyers-Rassias stability; Psi-Hilfer stochastic fractional derivative random operator; Time-varying delays; 54C40; 14E20; 46E25; 47H10; 20C20; MODEL;

D O I：

10.1186/s13662-020-02797-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a nonlinear Cauchy problem involving the Psi -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.

引用

页数：10

共 40 条

[1] Lyapunov functions to Caputo reaction-diffusion fractional neural networks with time-varying delays [J].