Best approximation of a nonlinear fractional Volterra integro-differential equation in matrix MB-space

Advances in Difference Equations

Reza Saadati¹  Reza Chaharpashlou¹ 

[1] School of Mathematics, Iran University of Science and Technology, Narmak, Tehran, Iran;

关键词: Hyers–Ulam stability;    Fractional Volterra integral;    Ψ;    Integro-differential equations;    Matrix MB-space;    54C40;    14E20;    46E25;    47H10;   

DOI  :  10.1186/s13662-021-03275-2

来源: Springer

【 摘 要 】

In this article, we introduce a class of stochastic matrix control functions to stabilize a nonlinear fractional Volterra integro-differential equation with Ψ-Hilfer fractional derivative. Next, using the fixed-point method, we study the Ulam–Hyers and Ulam–Hyers–Rassias stability of the nonlinear fractional Volterra integro-differential equation in matrix MB-space.

【 授权许可】

CC BY