Fundamental solutions to advection-diffusion equation with time-fractional Caputo-Fabrizio derivative

The advection–diffusion equation with time-fractional derivatives without singular kernel and two space-variables is considered. The fundamental solutions in a half-plane are obtained by using the Laplace transform with respect to temporal variable t and Fourier transform with respect to the space coordinates x and y. The Dirichlet problem and the source… CONTINUE READING