The Variable-Order Fractional Calculus of Variations
Delfim F. M. Torres, Dina Tavares, Ricardo Almeida, et al.
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Springer International Publishing
Naturwissenschaften, Medizin, Informatik, Technik / Allgemeines, Lexika
Beschreibung
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.
Kundenbewertungen
Fractional Necessary Optimality Conditions, Transversality Conditions, Fractional Calculus of Variations, Fractional Calculus, Error Estimation, Numerical Approximation