New Explicit Solutions for the Space-time Fractional-order Equal-width Equation

By means of the fractional-order complex transformation, the nonlinear fractional-order partial differential equation is converted to an ordinary integer-order differential equation.Then, the extended (G′/G) -expansion method is used to construct the new exact solutions for space-time fractional-order Equal-width equations.The new exact solutions thus obtained include trigonometric function solutions, negative exponential solutions and hyperbolic functional solutions.