Document Type : Research Paper

Authors

• Farshid Mirzaee ¹
• Nasrin Samadyar ²

¹ Malayer University

² Department of mathematics, 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