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Title: Caputo–Hadamard fractional derivatives of variable order
Author: Almeida, Ricardo
Keywords: Caputo fractional derivative
Expansion formulas
Fractional calculus
Hadamard fractional derivative
Variable fractional order
Issue Date: Jan-2017
Publisher: Taylor & Francis
Abstract: In this article, we present three types of Caputo-Hadamard derivatives of variable fractional order and study the relations between them. An approximation formula for each fractional operator, using integer-order derivatives only, is obtained and an estimation for the error is given. At the end, we compare the exact fractional derivative of a concrete example with some numerical approximations.
Peer review: yes
DOI: 10.1080/01630563.2016.1217880
ISSN: 0163-0563
Appears in Collections:CIDMA - Artigos
SCG - Artigos

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