دانشگاه سمنان

 آمار

تعداد نشریات21
تعداد شماره‌ها641
تعداد مقالات9,362
تعداد مشاهده مقاله68,021,787
تعداد دریافت فایل اصل مقاله28,798,251
Das, Anupam, Rabbani, Mohsen, Hazarika, Bipan, Arab, Reza. (1398). Solvability of infinite system of nonlinear singular integral equations in the $C(I\times‎ I‎, ‎c)$ space and modified semi-analytic method to find a closed-form of solution. نشریه هنرهای کاربردی, 10(1), 63-76. doi: 10.22075/ijnaa.2019.16525.1875
Anupam Das; Mohsen Rabbani; Bipan Hazarika; Reza Arab. "Solvability of infinite system of nonlinear singular integral equations in the $C(I\times‎ I‎, ‎c)$ space and modified semi-analytic method to find a closed-form of solution". نشریه هنرهای کاربردی, 10, 1, 1398, 63-76. doi: 10.22075/ijnaa.2019.16525.1875
Das, Anupam, Rabbani, Mohsen, Hazarika, Bipan, Arab, Reza. (1398). 'Solvability of infinite system of nonlinear singular integral equations in the $C(I\times‎ I‎, ‎c)$ space and modified semi-analytic method to find a closed-form of solution', نشریه هنرهای کاربردی, 10(1), pp. 63-76. doi: 10.22075/ijnaa.2019.16525.1875
Das, Anupam, Rabbani, Mohsen, Hazarika, Bipan, Arab, Reza. Solvability of infinite system of nonlinear singular integral equations in the $C(I\times‎ I‎, ‎c)$ space and modified semi-analytic method to find a closed-form of solution. نشریه هنرهای کاربردی, 1398; 10(1): 63-76. doi: 10.22075/ijnaa.2019.16525.1875

Solvability of infinite system of nonlinear singular integral equations in the $C(I\times‎ I‎, ‎c)$ space and modified semi-analytic method to find a closed-form of solution

International Journal of Nonlinear Analysis and Applications
مقاله 7، دوره 10، شماره 1، بهمن 2019، صفحه 63-76    اصل مقاله (149.89 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2019.16525.1875
نویسندگان
Anupam Das1؛ Mohsen Rabbani* 2؛ Bipan Hazarika1، 3؛ Reza Arab2
1Department of Mathematics, Rajiv Gandhi University, Rono Hills, Doimukh-791112, Arunachal Pradesh, India
2Department of Mathematics, Sari Branch, Islamic Azad University, Sari, Iran
3Department of Mathematics, Gauhati University, Guwahati-781014, Assam, India
تاریخ دریافت: 27 آبان 1397،  تاریخ بازنگری: 28 دی 1397،  تاریخ پذیرش: 04 بهمن 1397 
چکیده
‎In this article‎, ‎we discuss about solvability of infinite systems of singular integral equations with two variables in the Banach sequence space $C(I \times I‎, ‎c)$ by applying measure of noncompactness‎ and Meir-Keeler condensing operators‎. By presenting an example, we have illustrated our results‎. ‎For validity of the results we introduce a modified semi-analytic method in the case of two variables to make an iteration algorithm to find a closed-form of solution for the above problem‎. ‎The numerical results show that the produced sequence for approximating the solution of example is in the $c$ space with a high accuracy‎.
کلیدواژه‌ها
Measure of noncompactness؛ Infinite systems of singular integral equations؛ Meir-Keeler condensing operators؛ Fixed point theorem؛ Modified homotopy perturbation‎
آمار
تعداد مشاهده مقاله: 15,792
تعداد دریافت فایل اصل مقاله: 4,299


سامانه مدیریت نشریات علمی. قدرت گرفته از سیناوب