@article { author = {Kheiri, H. and Irandoust-Pakchin, S. and Javidi, M.}, title = {Analytical solutions for the fractional nonlinear telegraph equation using a modified homotopy perturbation and separation of variables methods}, journal = {Iranian Journal of Science}, volume = {38}, number = {4}, pages = {423-433}, year = {2014}, publisher = {Springer}, issn = {2731-8095}, eissn = {2731-8109}, doi = {10.22099/ijsts.2014.2558}, 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. }, keywords = {fractional,Telegraph equation,Caputo derivative,homotopy perturbation,separation of variables,Mittag-Leffler}, url = {https://ijsts.shirazu.ac.ir/article_2558.html}, eprint = {https://ijsts.shirazu.ac.ir/article_2558_19fcab0c6999ed50cf09038e2fc4e390.pdf} }