EAN: 9783319940052

Bilder-Quelle: discount24.de - Sport-Freizeit

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 constraints where the functional depends on a combined Caputo derivative of variable fractional order. In particular they establish necessary optimality conditions of Euler-Lagrange type. As the terminal point in the cost integral is free as is the terminal state transversality conditions are also obtained. The Variable-Order Fractional Calculus of Variations is a valuable source of information for researchers in mathematics physics engineering control and optimization it provides both analytical and numerical methods to deal with variational problems. It is also of interest to academics and postgraduates in these fields as it solves multiple variational problems subject to one or more constraints in a single brief.

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03.04.2025 um 21:52 Uhr

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