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Solving a system of fractional Volterra integro-differential equations using cubic Hermit spline functions | ||
| Computational Methods for Differential Equations | ||
| مقاله 18، دوره 13، شماره 3، مهر 2025، صفحه 980-994 اصل مقاله (762.67 K) | ||
| 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 sense of the Caputo fractional derivative, using cubic Hermite spline functions. We first construct the operational matrix for the fractional derivative of the cubic Hermite spline functions. Then, using this matrix and key properties of these functions, we transform systems of fractional Volterra integro-differential equations into a system of algebraic equations, which can be solved numerically to obtain approximate solutions. Numerous examples show that the results obtained by this method align closely 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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