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

نویسندگان
Mirzaee, Farshid ID 1
Samadyar, Nasrin ID 2

1 Malayer University

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

doi
10.22075/ijnaa.2018.14031.1743
چکیده

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.

کلیدواژه‌ها
Nonlinear functional integral equations, Stochastic integral equations, Fixed-point theorem, Banach space, Measure of non-compactness