Department of Mathematics & Statistics, University of Otago, Dunedin, New Zealand ; Department of Physics, University of Nevada, Reno, Nevada 89557-0084 ; Department of Mathematics, University of Nevada, Reno, Nevada 89557-0084
Abstract:
Evolution equations for anomalous diffusion employ fractional derivatives in space and time. Linkage between the space-time variables leads to a new type of fractional derivative operator. This paper develops the mathematical foundations of those operators.