Ramzi B. Albadarneh, Mohammad Zurigat, Iqbal M. Batiha, Numerical solutions for linear and non-linear fractional differential equations, International Journal of Pure and Applied Mathematics, 106 (3) (2016), 859-871.

In this paper, a new numerical technique to solve linear and nonlinear fractional differential equations of order 0 <  < 1 in sense of Caputo?s definition is proposed. The effi- ciency of this technique will be illustrated by solving several examples of linear and nonlinear fractional differential equations of order 0 <  < 1.