We devote this work to investigate the solutions of a generalized diffusion equation which contains spatial fractional derivatives and nonlinear terms. The presence of external forces and absorbent terms is also considered. The solutions found here can have a compact or long tail behavior and,...

We consider the conservative web map xn+1=yn, yn+1=−xn−Ksinyn+Γ where Γ is the external constant force. For a range of values of K with Γ=0 the diffusion is found to be anomalous (Zaslavsky et al., Chaos 7 (1997) 159) due to the presence of accelerator mode islands. We investigate the...