Fast algorithm based on the novel approximation formula for the Caputo-Fabrizio fractional derivative

In this study, we propose a novel second-order numerical formula that approximates the Caputo-Fabrizio (CF) fractional derivative at node $t_{k+\frac{1}{2}}$. The nonlocal property of the CF fractional operator requires $O(M^2)$ operations and $O(M)$ memory storage, where $M$ denotes the numbers of...

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Bibliographic Details
Main Authors: Yang Liu, Enyu Fan, Baoli Yin, Hong Li
Format: Article
Language:English
Published: AIMS Press 2020-02-01
Series:AIMS Mathematics
Subjects:
Online Access:https://www.aimspress.com/article/10.3934/math.2020117/fulltext.html