Geodesic
Analytical approach to solution fractional partial differential equation by optimal q-homotopy analysis method
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 21 (2018) no. 2, pp. 171-183

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The optimal q-homotopy analysis method is employed in order to solve partial differential equations (PDEs) featuring a time-fractional derivative. Then, in order to illustrate the simplicity and ability of the suggested approach, some specific and clear examples are given. All numerical calculations in this manuscript have been carried out with Mathematica package. 
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     author = {R. Darzi and B. Agheli},
     title = {Analytical approach to solution fractional partial differential equation by optimal q-homotopy analysis method},
     journal = {Sibirskij \v{z}urnal vy\v{c}islitelʹnoj matematiki},
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     url = {http://geodesic.mathdoc.fr/item/SJVM_2018_21_2_a3/}
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R. Darzi; B. Agheli. Analytical approach to solution fractional partial differential equation by optimal q-homotopy analysis method. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 21 (2018) no. 2, pp. 171-183. http://geodesic.mathdoc.fr/item/SJVM_2018_21_2_a3/