A novel iterative method to solve nonlinear wave-like equations of fractional order with variable coefficients

In this work, we suggest a novel iterative method to give approximate solutions of nonlinear wave-like equations fractional order with variable coefficients. The advantage the proposed is ability combine two different methods: Shehu transform and homotopy analysis method, in addition providing an solution form convergent series easily computable components, requiring no linearization or small perturbation. This can be called (SHAM). Three examples are presented illustrate preciseness effectiveness method. numerical results show that obtained by SHAM good agreement found literature. Furthermore, implemented easy way therefore used solve other partial differential equations.