A method for solving differential equations of q-fractional order

Abstract

In this work, we considered the q-differential equations of order 0 < q < 1 with initial condition x(0)=x0. The derivative with fractional order considered here is the Caputo time since it allows the use of initial conditions. An analytical method to obtain exact solution of this class of fractional differential equations is provided. Some illustrative examples are provided to underpin and illustrate the efficiency of the used method.