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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 | ||
| تاریخ دریافت: 25 فروردین 1401، تاریخ پذیرش: 28 تیر 1401 | ||
| 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 | ||
| مراجع | ||
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