A new analytical approximate method for the solution of fractional differential equations

A new analytical approximate method for the solution of fractional differential equations is presented. This method, which does not require any symbolic computation, is important as a tool for scientists and engineers because it provides an iterative procedure for obtaining the solution of both linear and non-linear fractional differential equations. The effectiveness of the proposed method is illustrated with some examples.

Keywords:

• Fractional differential equations
• Fractional differential transformation
• Adomian decomposition
• Non-integer order
• Series solution

Acknowledgements

This study was supported by the Coordinatorship of Selcuk University's Scientific Research Projects (BAP).