An Efficient Iterative Technique for Solving Fractional Diffusion-Wave Equations

Abstract In this study, we propose an efficient iterative technique for investigating the analytical approximate solutions of the Caputo derivative-based fractional diffusion-wave equations. The proposed technique involves the Sumudu transform (ST) and the Daftardar-Gejji and Jafari method (DGJM). Further, we give various illustrations of linear and nonlinear diffusion-wave equations and demonstrate the solutions figuratively. The proposed technique is free from complex calculations and works without any discretization.