56 citations · 142 across the 5 of their papers we have counts for
5 papers
Generalized diffusion-wave equation with memory kernel
Trifce Sandev, Zivorad Tomovski, Johan Dubbeldam +1
We study generalized diffusion-wave equation in which the second order time derivative is replaced by integro-differential operator. It yields time fractional and distributed order…
Generalised Diffusion and Wave Equations: Recent Advances
Trifce Sandev, Ralf Metzler, Aleksei Chechkin
We present a short overview of the recent results in the theory of diffusion and wave equations with generalised derivative operators. We give generic examples of such generalised…
Lévy processes on a generalized fractal comb
Trifce Sandev, Alexander Iomin, Vicenç Méndez
Comb geometry, constituted of a backbone and fingers, is one of the most simple paradigm of a two dimensional structure, where anomalous diffusion can be realized in the framework…
Fractional diffusion on a fractal grid comb
Trifce Sandev, Alexander Iomin, Holger Kantz
A grid comb model is a generalization of the well known comb model, and it consists of backbones. For the system reduces to the comb model where subdiffusion takes place…
Fractional Helmholtz and fractional wave equations with Riesz-Feller and generalized Riemann-Liouville fractional derivatives
Ram K. Saxena, Zivorad Tomovski, Trifce Sandev
The objective of this paper is to derive analytical solutions of fractional order Laplace, Poisson and Helmholtz equations in two variables derived from the corresponding standard…