ON A NUMERICAL APPROACH TO SOLVE FRACTIONAL DIFFERENTIALEQUATIONS USING FRACTIONAL TAYLOR METHOD

سال انتشار: 1395
نوع سند: مقاله کنفرانسی
زبان: انگلیسی
مشاهده: 113

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شناسه ملی سند علمی:

MATHEMATICS08_059

تاریخ نمایه سازی: 6 شهریور 1401

چکیده مقاله:

In this article, a numerical method for solving some fractional differential equations is given. To implementthe numerical method, the fractional Taylor vector approximation is taken into account. Next, we usethe operational matrix of the fractional Caputo differentiation for fractional Taylor vector to reduce thesolution of the the given differential equations into a system of algebraic equations. An error estimation isprovided to measure the accuracy of the presented numerical scheme. At last, several test examples areincluded to show the applicability and validity of the new methodology.

نویسندگان

Ali Nemati

Department of Mathematics, Payame Noor University, P.O. Box ۱۹۳۹۵-۳۶۹۷, Tehran, Iran.

Jamal Saffar Ardabili

Department of Mathematics, Payame Noor University, P.O.Box ۱۹۳۹۵-۳۶۹۷, Tehran, Iran.