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A numerical method for solving a variable-order fractional integral-differential equation | ||
| Computational Sciences and Engineering | ||
| مقاله 19، دوره 4، شماره 1، تیر 2024، صفحه 67-78 اصل مقاله (706.27 K) | ||
| نوع مقاله: Original Article | ||
| شناسه دیجیتال (DOI): 10.22124/cse.2025.29847.1094 | ||
| نویسنده | ||
| Ahmad Sharif* | ||
| Gonbad Kavous University | ||
| چکیده | ||
| In this paper, a numerical method based on finite differences is presented for numerically solving a fractional integral-differential equation of variable order with Prabhakar integral and Caputo-Prabhakkar fractional derivative. Using the proposed method, an approximate solution of the desired equation is obtained from solving a system of linear equations. The stability of the method is investigated and it is shown that the proposed method is stable under certain conditions. Three examples are presented to demonstrate the efficiency and accuracy of the proposed method. | ||
| کلیدواژه‌ها | ||
| Fractional integral-differential equation؛ Finite difference method؛ Numerical solution؛ Derivative order؛ Caputo-Prabhakkar؛ Stability | ||
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آمار تعداد مشاهده مقاله: 107 تعداد دریافت فایل اصل مقاله: 22 |
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