Analytical solutions for the fractional nonlinear telegraph equation using a modified homotopy perturbation and separation of variables methods

Abstract

In this paper, first a new homotopy perturbation method for solving a fractional order nonlinear telegraph equation is introduced. By applying the proposed method, the nonlinear equation is translated to linear equations for per iteration of homotopy perturbation method. Then, the obtained problems are solved with separation method. In the examples, it is illustrated that the exact solution is obtained in one iteration by conveniently separating source term of equation.