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Fractional di erential transform method for solving systems of fractional di erential equations

عنوان مقاله: Fractional di erential transform method for solving systems of fractional di erential equations
شناسه ملی مقاله: DSGT02_025
منتشر شده در دومین کنفرانس ملی سیستم های دینامیکی و نظریه های هندسی ایرانی در سال 1397
مشخصات نویسندگان مقاله:

Abedeh Pardasideh - Department of Mathematics, Faculty of Mathematics,University of Sistan and Baluchestan, Zahedan, Iran
Haleh Tajadodi - Department of Mathematics, Faculty of Mathematics,University of Sistan and Baluchestan, Zahedan, Iran

خلاصه مقاله:
In this paper, we utilized fractional di erential transform method (FDTM) to get the solutions of systems of fractional di erential equations. The fractional derivatives are described in the Caputo sense. In this technique, namely FDTM, is used to solve the systems of nonlinear fractional di erential equations under appropriate initial con-ditions, in the form of series with easily computable terms. To show the capability and consistency of the proposed scheme, a few examples have been given. The numericalresults show that the approach is easy to implement and accurate when applied to systems of fractional di erential equations. The method introduces a promising tool for solving many linear and nonlinear fractional di erential equations.

کلمات کلیدی:
Fractional Di erential Equations, Di erential Transform Method, Ca-puto Derivative

صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/895594/