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Lakestani, Mehrdad, Ghasemkhani, Roya, Allahviranloo, Tofigh. (1404). Solving a system of fractional Volterra integro-differential equations using cubic Hermit spline functions. سامانه مدیریت نشریات علمی, 13(3), 980-994. doi: 10.22034/cmde.2025.62477.2756
Mehrdad Lakestani; Roya Ghasemkhani; Tofigh Allahviranloo. "Solving a system of fractional Volterra integro-differential equations using cubic Hermit spline functions". سامانه مدیریت نشریات علمی, 13, 3, 1404, 980-994. doi: 10.22034/cmde.2025.62477.2756
Lakestani, Mehrdad, Ghasemkhani, Roya, Allahviranloo, Tofigh. (1404). 'Solving a system of fractional Volterra integro-differential equations using cubic Hermit spline functions', سامانه مدیریت نشریات علمی, 13(3), pp. 980-994. doi: 10.22034/cmde.2025.62477.2756
Lakestani, Mehrdad, Ghasemkhani, Roya, Allahviranloo, Tofigh. Solving a system of fractional Volterra integro-differential equations using cubic Hermit spline functions. سامانه مدیریت نشریات علمی, 1404; 13(3): 980-994. doi: 10.22034/cmde.2025.62477.2756

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
مراجع
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