This paper deals with the investigation of the analytical approximate
solutions for two-term fractional-order diffusion, wave-diffusion, and
telegraph equations. The fractional derivatives are defined in the
Caputo sense, whose orders belong to the intervals [0,1], (1,2), and
[1,2], respectively. In this paper, we extended optimal homotopy
asymptotic method (OHAM) for two-term fractional-order wavediffusion
equations. Highly approximate solution is obtained in series
form using this extendedmethod. Approximate solution obtained by
OHAM is compared with the exact solution. It is observed that OHAM
is a prevailing and convergent method for the solutions of nonlinearfractional-
order time-dependent partial differential problems. The
numerical results rendering that the applied method is explicit,
effective, and easy to use, for handling more general fractional-order
wave diffusion, diffusion, and telegraph problems.
