University of Tabriz Computational Methods for Differential Equations 2345-3982 4 4 2016 10 01 Solutions structure of integrable families of Riccati equations and their applications to the perturbed nonlinear fractional Schrodinger equation 261 275 5643 EN Ahmad Neirameh Department of Mathematics, faculty of Science, Gonbad Kavous University, Gonbad, Iran Saeid Shokooh Department of Mathematics, faculty of Science, Gonbad Kavous University, Gonbad, Iran Mostafa Eslami Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran Journal Article 2016 09 19 Some preliminaries about the integrable families of Riccati equations and solutions structure of these equations in several cases are presented in this paper, then by using of definitions for fractional derivative we apply the new extended of tanh method to the perturbed nonlinear fractional Schrodinger equation with the kerr law nonlinearity. Finally by using of this method and solutions of Riccati equations we obtain several analytical solutions for perturbed nonlinear fractional Schrodinger equation. The proposed technique enables a straightforward derivation of parameters of solitary solutions. https://cmde.tabrizu.ac.ir/article_5643_67059c561d0c6654f169bd004b37123b.pdf