Fractional-order Variational Derivative

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.

23 pages, LaTeX

References in corpus (2)

• Fractional Calculus: Integral and Differential Equations of Fractional Order
• Review of Some Promising Fractional Physical Models