The Variable-Order Fractional Calculus of Variations
The Variable-Order Fractional Calculus of Variations
The Variable-Order Fractional Calculus of Variations |Author: Ricardo AlmeidaEnglish | PDF | 2019 | 135 Pages | ISBN : 3319940058 | 5.03 MB
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-order) derivatives only. Estimations for the error of the approximations are also provided.The contributors consider variational problems that may be subject to one or more…
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