In Section 3, we give the description of the fractional sub-equation method for solving FPDEs.
In the following, we will apply the proposed fractional sub-equation method to Eqs. (19).
The first is improved Bernoulli sub-equation function method (IBSEFM), the latter is modified exp-expansion function method (MEFM).
These methods show the effectiveness of the modified Fan sub-equation method in handling the solution process of NLPDEs.
Then the fractional Jacobi elliptic equation is used as the auxiliary sub-equation to solve the fractional ordinary differential equation.
In this paper, we reduced the higher-order ODE into planar dynamical system by finding its lower-order sub-equation.
Now, we outline the main steps of the fractional sub-equation method for solving fractional differential equations.
In this section we describe the main steps of the fractional sub-equation method for finding exact solutions of FPDEs.
The main idea of the sub-equation method is to assume that the solutions to higher-order ODEs are polynomials of some functions satisfying a simpler equation.
Among these are the variational iteration method [16 18], the Adomian descomposition method [19, 20], the fractional sub-equation method [21 23], the homotopy perturbation technique [24 27].
So, in this way, the described fractional sub-equation method above is the extension of the (G′/G) method to fractional case.
