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By using the operational matrix of integration, we propose a new numerical method for linear fractional partial differential equation solving.
Now, we outline the main steps of the fractional sub-equation method for solving fractional differential equations.
In Section 3, we give the description of the fractional sub-equation method for solving FPDEs.
We have proposed a new fractional sub-equation method for solving FPDEs successfully, which is the fractional version of the known (G′/G) method.
This method converts the VO fractional equation into an algebraic system which is solved by a technique of linear algebra.
In Section 2, we give the description of the fractional Jacobi elliptic equation method for solving fractional partial differential equations.
In this section we give the description of the fractional Jacobi elliptic equation method for solving fractional partial differential equations.
Also the nonlinear Riccati differential equations of fractional order were solved with this method [36].
Thus the analytical method HPM is a useful tool for solving the nonlinear fractional equations.
Diethelm [14] transformed this equation into a system of fractional differential equation and solved the problem with the Adams predictor and the corrector method.
Further in [9], a system of fractional linear differential equations were solved analytically by using a new method which was named fractional Sumudu transform.
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