Geodesic
Analytical solutions for the fractional nonlinear cable equation using a modified'homotopy perturbation and separation of variables methods
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 56 (2016) no. 1 Cet article a éte moissonné depuis la source Math-Net.Ru

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In this paper, we first introduce a new homotopy perturbation method for solving a fractional order nonlinear cable equation. By applying proposed method the nonlinear equation it is changed to linear equation for per iteration of homotopy perturbation method. Then, we solve obtained problems with separation method. In examples, we illustrate that the exact solution is obtained in one iteration by convenience separating of source term in given equation. 
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     author = {S. Irandoust-pakchin and M. Javidi and H. Kheiri},
     title = {Analytical solutions for the fractional nonlinear cable equation using a modified'homotopy perturbation and separation of variables methods},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {124},
     year = {2016},
     volume = {56},
     number = {1},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2016_56_1_a6/}
}
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S. Irandoust-pakchin; M. Javidi; H. Kheiri. Analytical solutions for the fractional nonlinear cable equation using a modified'homotopy perturbation and separation of variables methods. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 56 (2016) no. 1. http://geodesic.mathdoc.fr/item/ZVMMF_2016_56_1_a6/