Space-Fractional Telegraph Equations

Abstract

In this paper, we use the invariant subspace method to solve the space-fractional telegraph equation, in which fractional derivative is considered in the Caputo sense. We classify invariant subspaces for the space-fractional telegraph equation. By choosing an appropriate invariant subspace, the space-fractional telegraph equation is reduced to a system of fractional ordinary differential equations. Finally, finding the solutions of the system yields the solution of space-fractional telegraph equation.