Das, Anupam, Rabbani, Mohsen, HAZARIKA, BIPAN, Mohiuddine, Syed. (1401). Solvability of infinite system of general order differential equations via generalized Meir-Keeler condensing operator and semi-analytic method. هنرهای کاربردی, 14(2), 233-246. doi: 10.22075/ijnaa.2022.26862.3431
Anupam Das; Mohsen Rabbani; BIPAN HAZARIKA; Syed A. Mohiuddine. "Solvability of infinite system of general order differential equations via generalized Meir-Keeler condensing operator and semi-analytic method". هنرهای کاربردی, 14, 2, 1401, 233-246. doi: 10.22075/ijnaa.2022.26862.3431
Das, Anupam, Rabbani, Mohsen, HAZARIKA, BIPAN, Mohiuddine, Syed. (1401). 'Solvability of infinite system of general order differential equations via generalized Meir-Keeler condensing operator and semi-analytic method', هنرهای کاربردی, 14(2), pp. 233-246. doi: 10.22075/ijnaa.2022.26862.3431
Das, Anupam, Rabbani, Mohsen, HAZARIKA, BIPAN, Mohiuddine, Syed. Solvability of infinite system of general order differential equations via generalized Meir-Keeler condensing operator and semi-analytic method. هنرهای کاربردی, 1401; 14(2): 233-246. doi: 10.22075/ijnaa.2022.26862.3431

Solvability of infinite system of general order differential equations via generalized Meir-Keeler condensing operator and semi-analytic method

International Journal of Nonlinear Analysis and Applications
مقاله 20، دوره 14، شماره 2، اردیبهشت 2023، صفحه 233-246    اصل مقاله (483.42 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.26862.3431
نویسندگان
Anupam Das1؛ Mohsen Rabbani* 2؛ BIPAN HAZARIKA3؛ Syed A. Mohiuddine4
1Department of Mathematics, Cotton University, Panbazar, Guwahati-781001, Assam, India
2Department of Mathematics, Sari Branch, Islamic Azad University, Sari, Iran
3Department of Mathematics, Gauhati University, Guwahati 781014, Assam, India
4Operator Theory and Applications Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia
چکیده
In this article, a new fixed point theory and generalized condensing operator have been established to prove the existence of solutions for an infinite system of differential equations of $n^{th}$ order. Also, some interesting examples are employed to support the findings. To validate our discussion the solutions of the examples are approximated by an iterative algorithm with high accuracy. The algorithm is convergent and constructed based on the modified homotopy perturbation method.
کلیدواژه‌ها
Measure of noncompactness (MNC)؛ Meir-Keeler condensing (MKC)؛ ordinary differential equations (ODE)؛ Green's function؛ Banach sequence spaces؛ Modified homotopy perturbation
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