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An Expansion Formula with Higher-Order Derivatives for Fractional Operators of Variable Order

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 illustrat...

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Hlavní autoři: Almeida, Ricardo, Torres, Delfim F. M.
Médium: Artigo
Jazyk:Inglês
Vydáno: Hindawi Publishing Corporation 2013
Témata:
On-line přístup:https://ncbi.nlm.nih.gov/pmc/articles/PMC3844179/
https://ncbi.nlm.nih.gov/pubmed/24319382
https://ncbi.nlm.nih.govhttp://dx.doi.org/10.1155/2013/915437
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