Solvability of functional stochastic integral equations via Darbo’s fixed point theorem

Abstract

Using the techniques of Darbo’s fixed-point theorem associated with measures of noncompactness, we investigate the existence results for functional stochastic integral equations in Banach Algebra, which are useful in many real-life problems, such as applied mathematics, physics, and economics problems. Our existence results treat numerous existence results achieved by different authors as special cases. An example is also provided to show the effectiveness of our main results.

Keywords

• 45A05
• 45H05