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A novel Bernstein operational matrix: applications for conformable fractional calculus | ||
| Computational Methods for Differential Equations | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 21 دی 1403 اصل مقاله (667.82 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22034/cmde.2024.61944.2700 | ||
| نویسنده | ||
| Mohsen Alipour* | ||
| Department of Mathematics, Faculty of Basic Science, Babol Noshirvani University of Technology, Shariati Ave., Babol, 47148-71167, Iran. | ||
| چکیده | ||
| In this work, we focus on the conformable fractional integral and derivative. We approximate the one and two-variable functions by the Bernstein basis and its dual basis with studying convergence. Then, we get the new operational matrix for conformable fractional integral based on the Bernstein basis. To show the effectiveness of these approximations and conformable integral operational matrix, we apply them for solving the nonlinear system of differential equations, the optimal control problem in the conformable fractional sense and the space conformable fractional telegraph equation. | ||
| کلیدواژه‌ها | ||
| Conformable fractional integral and derivative؛ Bernstein operational matrix؛ conformable fractional differential equation؛ fractional conformable optimal control problem؛ space conformable fractional telegraph equation | ||
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آمار تعداد مشاهده مقاله: 40 تعداد دریافت فایل اصل مقاله: 60 |
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