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Solving system of fractional Volterra integro-differential equations using cubic Hermite spline functions | ||
| Computational Methods for Differential Equations | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 30 فروردین 1404 اصل مقاله (1.49 M) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22034/cmde.2025.62477.2756 | ||
| نویسندگان | ||
| Mehrdad Lakestani* 1؛ Roya Ghasemkhani2؛ Tofigh Allahviranloo3 | ||
| 1Faculty of Mathematics, Statistics and Computer Science, University of Tabriz, Tabriz, Iran. | ||
| 2Department of Mathematics, Faculty of Science, University of Jiroft, Jiroft, Iran. | ||
| 3Research Center of Performance and Productivity Analysis, Istinye University, Istanbul, Türkiye. | ||
| چکیده | ||
| In this article, we solve systems of fractional Volterra integro-differential equations in the Caputo fractional derivative sense using cubic Hermite spline functions. We first construct the operational matrix to the fractional derivative of the cubic Hermite spline functions. Then using this matrix and some properties of these functions, we convert systems of fractional Volterra integro-differential equations into a system of algebraic equations that can be solved to find the approximate solution. Numerous examples show that the results obtained by this method are in full agreement with the results presented by some previous works. | ||
| کلیدواژه‌ها | ||
| fractional Volterra integro-differential equations؛ cubic Hermite spline functions؛ Caputo derivative؛ operational matrix | ||
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آمار تعداد مشاهده مقاله: 32 تعداد دریافت فایل اصل مقاله: 137 |
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