Fractional-order Variational Derivative

zbMATH Open1321.26016arXiv1502.07677MaRDI QIDQ5263388

Vasily E. Tarasov

Publication date: 16 July 2015

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.

Full work available at URL: https://arxiv.org/abs/1502.07677

zbMATH Keywords

fractional derivativevariational derivativeGateaux differential

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Variational principles of physics (49S05)

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