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An optimum solution for multi-dimensional distributed-order fractional differential equations ..... | ||
| Computational Methods for Differential Equations | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 20 آذر 1401 اصل مقاله (2.41 MB) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22034/cmde.2022.54288.2269 | ||
| نویسندگان | ||
Sedigheh Sabermahani ؛ Yadollah Ordokhani 
| ||
| Department of Mathematics, Faculty of Mathematical Sciences, Alzahra University, Tehran, Iran. | ||
| چکیده | ||
| This manuscript investigates a computational method based on fractional-order Fibonacci functions (FFFs) for solving distributed-order (DO) fractional differential equations and DO time-fractional diffusion equations. Extra DO fractional derivative operator and pseudo-operational matrix of fractional integration for FFFs are proposed. To evaluate the unknown coefficients in the FFF expansion, utilizing the matrices, an optimization problem relating to considered equations is formulated. This approach converts the original problems into a mathematical programming one. The approximation error is proposed. Several problems are proposed to investigate the applicability and computational efficiency of the scheme. The approximations achieved by some existing schemes are also tested conforming to the efficiency of the present method. Also, the model of the motion of the DO fractional oscillator is solved, numerically. | ||
| کلیدواژه‌ها | ||
| Fractional-order Fibonacci functions؛ Optimization method؛ Extra distributed-order fractional derivative operator | ||
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آمار تعداد مشاهده مقاله: 58 تعداد دریافت فایل اصل مقاله: 56 |
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