# Multi-time fractional diffusion equation

Published on Oct 7, 2013in European Physical Journal-special Topics2.707

· DOI :10.1140/EPJST/E2013-01975-Y

Abstract

We construct a fundamental solution of a multi-time diffusion equation with the Dzhrbashyan-Nersesyan fractional differentiation operator with respect to the time variables. We give a representation for a solution of the Cauchy problem and prove the uniqueness theorem in the class of functions of fast growth. The corresponding results for equations with Riemann-Liouville and Caputo derivatives are obtained as particular cases of the proved assertions.