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arxiv: 1502.07677 · v1 · pith:TOY5RZ7Snew · submitted 2015-02-22 · 🧮 math.CA · math-ph· math.MP

Fractional-order Variational Derivative

classification 🧮 math.CA math-phmath.MP
keywords fractional-orderderivativedefinitiongeneralizationsomevariationalapproachesconsider
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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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