Green's functions and propagators for the multi-dimensional anisotropic space-time fractional diffusion equation are obtained in integral form. Uniqueness of the solutions is studied in the framework ...

In this paper we study one-dimensional Fisher-Kolmogorov equation with density dependent non-linear diffusion. We choose the diffusion as a function of cell density such that it is high in highly cell ...

The Fitzhugh–Nagumo equation is an important non-linear reaction–diffusion equation used to model the transmission of nerve impulses. This equation is used in biology as population genetics; the ...

1 Department of Mechanical Engineering, Faculty of Energy Engineering, Aswan University, Aswan, Egypt. 2 Department of Mechatronics, Faculty of Engineering and Materials Science, German University in ...