  Fractional wave equation arises in different type of physical problems such
as the vibrating strings, propagation of electro-magnetic waves, and for many
other systems. The exact analytical solution of the fractional differential
equation is difficult to find. Usually Laplace-Fourier transformation method,
along with methods where solutions are represented in series form is used to
find the solution of the fractional wave equation. In this paper we describe
the D Alembert s solution of the fractional wave equation with the help of
complex fractional transform method. We demonstrate that using this fractional
complex transformation method, we obtain the solutions easily as compared to
fractional method of characteristics; and get the solution in analytical form.
We show that the solution to the fractional wave equation manifests as
travelling waves with scaled coordinates, depending on the considered
fractional order value.

Analysis of PDEs