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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
DOI: 10.1155/2013/915437
ISSN: 1537-744X
Appears in Collections:CIDMA - Artigos
DMat - Artigos

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