Application of fixed point theorem to solvability of functional stochastic integral equations

作者：

Highlights：

• We discuss the existence of solution of stochastic functional equation with the help of condensing operators and measure of noncompactness.

• This functional integral equations contains several equations in this area.

• This type of equations help us to represent many real life nonlinear problems.

• We provide three examples to illustrate our main results.

摘要

•We discuss the existence of solution of stochastic functional equation with the help of condensing operators and measure of noncompactness.•This functional integral equations contains several equations in this area.•This type of equations help us to represent many real life nonlinear problems.•We provide three examples to illustrate our main results.

论文关键词：Stochastic functional integral equations,Existence of solution,Measures of noncompactness,Fixed point theorem

论文评审过程：Received 22 July 2021, Revised 19 October 2021, Accepted 28 October 2021, Available online 17 November 2021, Version of Record 17 November 2021.

论文官网地址：https://doi.org/10.1016/j.amc.2021.126759