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

Advances in Difference Equations

article

Chaharpashlou, Reza¹  Saadati, Reza¹ 

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

关键词: Hyers–Ulam stability;    Fractional Volterra integral;    Ψ -Hilfer fractional derivative;    Integro-differential equations;    Matrix MB-space;   

DOI  :  10.1186/s13662-021-03275-2

学科分类：航空航天科学

来源: SpringerOpen

【 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