Title of article :
Extension of Darbo fixed-point theorem to illustrate existence of the solutions of some nonlinear functional stochastic integral equations
Author/Authors :
Mirzaee, Farshid Faculty of Mathematical Sciences and Statistics - Malayer University, Malayer, Iran , Samadyar, Nasrin Faculty of Mathematical Sciences and Statistics - Malayer University, Malayer, Iran
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 :
Nonlinear functional integral equations , Stochastic integral equations , Fixed-point theorem , Banach space , Measure of non-compactness
Journal title :
International Journal of Nonlinear Analysis and Applications
