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Solving a Class of Volterra Integral Equations With M-Derivative | ||
| Computational Methods for Differential Equations | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 10 اردیبهشت 1403 اصل مقاله (1.28 M) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22034/cmde.2024.58936.2498 | ||
| نویسندگان | ||
| Mousa Ilie* 1؛ Ali Khoshkenar1؛ Asadollah Torabi Giklou2 | ||
| 1Department of Mathematics, Rasht Branch, Islamic Azad University, Rasht, Iran. | ||
| 2Department of Basic Sciences, Parsabad Moghan Branch, Islamic Azad University, Parsabad Moghan, Iran. | ||
| چکیده | ||
| This article presents the development and analysis of the M-fractional Neumann method (MFNM) for solving a class of time M-fractional Volterra integral equations. The MFNM is based on the well-known Neumann method and is shown to provide efficient solutions for the considered equations. The proposed approach's existence, uniqueness, and convergence are studied using several theorems. The results demonstrate the MFNM's effectiveness in solving time M-fractional Volterra integral equations. Numerical examples are provided to illustrate the capabilities and adequacy of the MFNM for a class of fractional integral equations. | ||
| کلیدواژه‌ها | ||
| Local M-fractional integral؛ M-fractional Volterra integral equations؛ M-fractional Neumann method؛ The existence and uniqueness of the solution؛ Theorem of convergence | ||
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آمار تعداد مشاهده مقاله: 24 تعداد دریافت فایل اصل مقاله: 50 |
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