title: Effects of bounded space in the solutions of time-space fractional diffusion equation.
abstract: By using a recently proposed numerical method, the fractional diffusion equation with memory in a finite domain is solved for different asymmetry parameters and fractional orders. Some scaling laws are revisited in this condition, such as growth rate in a distance from pulse perturbation, the time when the perturbative peak reaches the other points, and advectionlike behavior as a result of asymmetry and memory. Conditions for negativity and instability of solutions are shown. Also up-hill transport and its time-space region are studied.
authors.affiliation: Laser and Plasma Research Institute, Shahid Beheshti University, Tehran, Iran.
authors.forename: M H
authors.initials: MH
authors.lastname: Allami
authors.forename: B
authors.initials: B
authors.lastname: Shokri