APPLICATION OF FRACTIONAL DERIVATIVES IN PHYSICAL MODELS

Abstract

The problem of physical content and admissibility of differentiation of fractional order is considered. The generalizing character of the apparatus of derivatives and integrals of fractional order is demonstrated in describing the model of a medium with the elasticity - viscoelasticity - viscous liquid properties. A conclusion is made that, on the one hand, the generality of the physical models of a continuous ‘elasticity - viscoelasticity - a viscous liquid’ medium is manifested and, on the other hand, the case of the validity of the application of the apparatus of fractional derivatives and integrals of fractional order to these problems is demonstrated.