Please use this identifier to cite or link to this item:
|Title:||An expansion formula with higher-order derivatives for fractional operators of variable order|
Marchaud fractional order
Riemann-Liouville fractional order
|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.|
|Appears in Collections:||CIDMA - Artigos|
DMat - Artigos
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.