Hossein Jafari 1,2,*, Hassan Kamil Jassim 2,3, Fairouz Tchier 4 and Dumitru Baleanu 5,6 1 Department of Mathematical Sciences, University of South Africa (UNISA), Pretoria 0003, South Africa 2 Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar 47416, Iran; [email protected] 3 Department of Mathematics, Faculty of Education for Pure Sciences, U...

Abstract Using the framework of random walks in random scenery, Cohen and Samorodnitsky (2006) introduced a family of symmetric α-stable motions called local time fractional stable motions. When α = 2, these processes are precisely fractional Brownian motions with 1/2 < H < 1. Motivated by random walks in alternating scenery, we find a complementary family of symmetric α-stable motions which we...

Submitted: May 27, 2013; Accepted: Jul 5, 2013; Published: Jul 22, 2013 Abstract: In this paper, we present an algorithm called the Reduced Differential Transform Method (RDTM) to obtain approximate solutions for the Fitzhugh-Nagumo (FN) equation, Ito equation and find an exact solution to nonlinear PDE. The numerical results show that this method is a powerful tool for solving nonlinear PDEs a...