Extension of Darbo fixed-point theorem to illustrate existence of the solutions of some nonlinear functional stochastic integral equations

Document Type: Research Paper

Authors

1 Malayer University

2 Department of mathematics, Malayer University, Malayer, Iran.

10.22075/ijnaa.2018.14031.1743

Abstract

In this paper, Darbo fixed-point theorem is employed as a mathematical tool to examine existence of the solution of some nonlinear functional stochastic integral equations which arise in many physical, chemical and biological problems. Throughout this paper, we consider
( C[0; 1]; ∥:∥ ) as Banach space equipped with uniform norm.

Keywords