The Variable-Order Fractional Calculus of Variations is devoted to the study of fractional operators with variable order and, in particular, variational problems involving variable-order operators. This brief presents a new numerical tool for the solution of differential equations involving Caputo derivatives of fractional variable order. Three Caputo-type fractional operators are considered, and for each one, an approximation formula is obtained in terms of standard (integer-...
Tabella dei contenuti
Fractional Calculus.- The Calculus of Variations.- Expansion Formulas for Fractional Derivatives.- The Fractional Calculus of Variations.
Circa l’autore
Ricardo Almeida received his Bachelor and Master degrees in Mathematics from University of Porto, Portugal, and
his Ph.D. degree in Mathematics from Universit...