Numerical approach for approximating the Caputo fractional-order derivative operator

This work aims to propose a new simple robust power series formula with its truncation error to approximate the Caputo fractional-order operator $ D_{a}^{\alpha}y(t) $ of order $ m-1 < \alpha < m $, where $ m\in\mathbb{N} $. The proposed formula, which are derived with the help of the...

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Bibliographic Details
Main Authors: Ramzi B. Albadarneh, Iqbal Batiha, A. K. Alomari, Nedal Tahat
Format: Article
Language:English
Published: AIMS Press 2021-09-01
Series:AIMS Mathematics
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2021735?viewType=HTML