Deep, Amar, Kumar, Ashish, Abbas, Syed, Rabbani, Mohsen. (1400). Solvability and numerical method for non-linear Volterra integral equations by using Petryshyn’s fixed point theorem. هنرهای کاربردی, 13(1), 1-28. doi: 10.22075/ijnaa.2021.22858.2422
Amar Deep; Ashish Kumar; Syed Abbas; Mohsen Rabbani. "Solvability and numerical method for non-linear Volterra integral equations by using Petryshyn’s fixed point theorem". هنرهای کاربردی, 13, 1, 1400, 1-28. doi: 10.22075/ijnaa.2021.22858.2422
Deep, Amar, Kumar, Ashish, Abbas, Syed, Rabbani, Mohsen. (1400). 'Solvability and numerical method for non-linear Volterra integral equations by using Petryshyn’s fixed point theorem', هنرهای کاربردی, 13(1), pp. 1-28. doi: 10.22075/ijnaa.2021.22858.2422
Deep, Amar, Kumar, Ashish, Abbas, Syed, Rabbani, Mohsen. Solvability and numerical method for non-linear Volterra integral equations by using Petryshyn’s fixed point theorem. هنرهای کاربردی, 1400; 13(1): 1-28. doi: 10.22075/ijnaa.2021.22858.2422

Solvability and numerical method for non-linear Volterra integral equations by using Petryshyn’s fixed point theorem

International Journal of Nonlinear Analysis and Applications
مقاله 1، دوره 13، شماره 1، خرداد 2022، صفحه 1-28    اصل مقاله (381.18 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2021.22858.2422
نویسندگان
Amar Deep1؛ Ashish Kumar2؛ Syed Abbas3؛ Mohsen Rabbani* 4
1PDPM-IIITDM, Jabalpur 482005, India
2Govt. PG college Bina 470113, India
3IIT, Mandi 175005, India
4Department of Mathematics, Sari Branch, Islamic Azad University, Sari, Iran
چکیده
In this paper, utilizing the technique of Petryshyn’s fixed point theorem in Banach algebra, we analyze the existence of solution for functional integral equations, which includes as special cases many functional integral equations that arise in various branches of non-linear analysis and its application. Finally, we introduce the numerical method formed by modified homotopy perturbation approach to resolving the problem with acceptable accuracy.
کلیدواژه‌ها
Fixed point theorem؛ Measure of non-compactness (MNC)؛ Banach algebra؛ Functional integral equation (FIE)؛ Modified Homotopy perturbation (MHP)
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