Deep, Amar, Rabbani, Mohsen, Kumar, Shubham, Aghazadeh, Nasser. (1404). On the existence of solution to a class of nonlinear functional integral equations with two variables. هنرهای کاربردی, 17(1), 115-126. doi: 10.22075/ijnaa.2024.34255.5112
Amar Deep; Mohsen Rabbani; Shubham Kumar; Nasser Aghazadeh. "On the existence of solution to a class of nonlinear functional integral equations with two variables". هنرهای کاربردی, 17, 1, 1404, 115-126. doi: 10.22075/ijnaa.2024.34255.5112
Deep, Amar, Rabbani, Mohsen, Kumar, Shubham, Aghazadeh, Nasser. (1404). 'On the existence of solution to a class of nonlinear functional integral equations with two variables', هنرهای کاربردی, 17(1), pp. 115-126. doi: 10.22075/ijnaa.2024.34255.5112
Deep, Amar, Rabbani, Mohsen, Kumar, Shubham, Aghazadeh, Nasser. On the existence of solution to a class of nonlinear functional integral equations with two variables. هنرهای کاربردی, 1404; 17(1): 115-126. doi: 10.22075/ijnaa.2024.34255.5112

On the existence of solution to a class of nonlinear functional integral equations with two variables

International Journal of Nonlinear Analysis and Applications
مقاله 10، دوره 17، شماره 1، فروردین 2026، صفحه 115-126    اصل مقاله (388.91 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2024.34255.5112
نویسندگان
Amar Deep1؛ Mohsen Rabbani* 2؛ Shubham Kumar1؛ Nasser Aghazadeh3
1Mathematics Discipline, IIITDM, Jabalpur 482005 (MP), India
2Department of Applied Mathematics, Sari Branch, Islamic Azad University, Sari, Iran
3Department of Mathematics, Izmir Institute of Technology, Izmir, Turkiye
چکیده
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.
کلیدواژه‌ها
Fixed point theorem (FPT)؛ Measure of non-compactness(MNC)؛ Functional integral equation
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