A generalized definition of the fractional derivative with applications

A generalized fractional derivative (GFD) definition is proposed in this work Fora differentiable function expanded by a Taylor series, we show that (DD beta)-D-alpha f (t) = D alpha+beta f (t); 0 < alpha <= 1; 0 < beta <= 1. GFD is applied for some functions to investigate that the GFD...

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Bibliographic Details
Main Authors: Abu-Shady, M., Kaabar, Mohammed K. A.
Format: Article
Published: Mathematical Problems in Engineering 2021
Subjects:
Online Access:http://eprints.um.edu.my/35329/
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