2016International Journal of Apllied MathematicsOpen access

FRACTIONAL-ORDER VARIATIONAL DERIVATIVE

Vasily E. Tarasov

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Abstract

We consider some possible approaches to the fractional-order generalization of definition of variation (functional) derivative. Some problems of formulation of a fractional-order variational derivative are discussed. To give a consistent definition of the fractional-order variations, we use a fractional generalization of Gateaux differential.

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We consider some possible approaches to the fractional-order generalization of definition of variation (functional) derivative. Some problems of formulation of a fractional-order variational derivative are discussed. To give a consistent definition of the fractional-order variations, we use a fractional generalization of Gateaux differential.

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We consider some possible approaches to the fractional-order generalization of definition of variation (functional) derivative. Some problems of formulation of a fractional-order variational derivative are discussed. To give a consistent definition of the fractional-order variations, we use a fractional generalization of Gateaux differential.

Key concepts: Generalization, Fractional calculus, Derivative (finance), Order (exchange), Mathematics, Applied mathematics, Mathematical analysis, Economics

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