Caputo derivatives of fractional variable order: numerical approximations

We present a new numerical tool to solve partial differential equations involving Caputo derivatives of fractional variable order. Three Caputo-type fractional operators are considered, and for each one of them an approximation formula is obtained in terms of standard (integer-order) derivatives onl...

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Bibliographic Details
Main Author: Tavares, Dina (author)
Other Authors: Almeida, Ricardo (author), Torres, Delfim F. M. (author)
Format: article
Language:eng
Published: 2018
Subjects:
Fractional calculus
Fractional variable order
Fractional differential equations
Approximation methods
Online Access:http://hdl.handle.net/10400.8/3310
Country:Portugal
Oai:oai:iconline.ipleiria.pt:10400.8/3310

Internet

http://hdl.handle.net/10400.8/3310

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