Please use this identifier to cite or link to this item:
http://hdl.handle.net/10773/11891
Title: | An expansion formula with higher-order derivatives for fractional operators of variable order |
Author: | Almeida, R. Torres, D.F.M. |
Keywords: | Analytical error Marchaud fractional order Mathematical analysis Mathematical parameters Riemann-Liouville fractional order |
Issue Date: | 2013 |
Publisher: | Hindawi |
Abstract: | We obtain approximation formulas for fractional integrals and derivatives of Riemann-Liouville and Marchaud types with a variable fractional order. The approximations involve integer-order derivatives only. An estimation for the error is given. The efficiency of the approximation method is illustrated with examples. As applications, we show how the obtained results are useful to solve differential equations, and problems of the calculus of variations that depend on fractional derivatives of Marchaud type. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/11891 |
DOI: | 10.1155/2013/915437 |
ISSN: | 1537-744X |
Appears in Collections: | CIDMA - Artigos DMat - Artigos |
Files in This Item:
File | Description | Size | Format | |
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[280]Almeida_Torres.pdf | 1.34 MB | Adobe PDF | View/Open |
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