On the existence of solution to a class of nonlinear functional integral equations with two variables
نویسندگان
1 Department of Applied Mathematics, Sari Branch, Islamic Azad University, Sari, Iran
2 Department of Mathematics, Izmir Institute of Technology, Izmir, Turkiye
3 Mathematics Discipline, IIITDM, Jabalpur 482005 (MP), India
4 Mathematics Discipline, IIITDM, Jabalpur 482005 (MP), India
doi
10.22075/ijnaa.2024.34255.5112چکیده
In this article, the existence of a solution for non-linear functional integral equations with two variables is considered in Banach space $C([0, b]\times [0, c])$ by applying Petryshyn's fixed point theorem. Our focus extends to diverse instances of functional integral equations encountered within mathematical analysis. Our study's effectiveness is demonstrated through an example. Furthermore, to confirm the reliability of our proposed approach, we introduce an iterative algorithm via Sinc interpolation, which effectively achieves a precise, approximate solution.
