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An Iterative Algorithm to Approximate the Solution of Fractional Two-Dimensional Nonlinear Functional Integral Equations in a Banach Space | ||
| Computational Methods for Differential Equations | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 28 آذر 1404 اصل مقاله (1.2 M) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22034/cmde.2025.68614.3330 | ||
| نویسندگان | ||
| Samaneh Darvishi Khezri؛ Mohsen Rabbani* ؛ Reza Arab؛ Vahid Dadashi | ||
| Department of Mathematics, Sar. C., Islamic Azad University, Sari, Iran. | ||
| چکیده | ||
| This study investigates the solvability and approximation of fractional two-dimensional nonlinear functional integral equations in a Banach space. Motivated by the increasing relevance of fractional models in nonlinear sciences—including diffusion, viscoelasticity, and nonlinear wave propagation—we establish new existence results using a generalized Darbo fixed-point theorem combined with the measure of noncompactness. To validate the theory, an iterative Sinc-interpolation algorithm is developed, achieving exponential convergence for numerical approximation. The proposed approach not only generalizes existing one-dimensional results to higher dimensions but also provides a practical framework for analyzing soliton-type and other localized nonlinear structures in fractional systems. Numerical experiments confirm the accuracy and effectiveness of the method. | ||
| کلیدواژهها | ||
| Measure of non-compactness؛ Fixed point theorem؛ Two dimensional non-linear integral equation؛ Fractional order؛ Sinc interpolation | ||
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آمار تعداد مشاهده مقاله: 166 تعداد دریافت فایل اصل مقاله: 185 |
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