In this work, we suggest a new numerical scheme called the fractional higher order Taylor method (FHOTM) to solve fractional differential equations (FDEs). Using the generalized Taylor’s theorem is the fundamental concept of this approach. Then, the local truncation error generated by the suggested FHOTM is estimated by proving suitable theoretical results. At last, several numerical applications are given to demonstrate the applicability of the suggested approach in relation to their exact solutions.

Iqbal M. Batiha

Iqbal H. Jebril

Amira Abdelnebi

Zoubir Dahmani

A New Fractional Representation of the Higher Order Taylor Scheme

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Journal Info

Category	Quartile
MATHEMATICS, APPLIED	3