Geodesic
Efficient computational algorithms for solving one class of fractional boundary value problems
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 53 (2013) no. 7

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In this paper, we introduce a modification of He’s variational iteration, homotopy analysis and optimal homotopy analysis methods for solving fractional boundary value problems. It is illustrated that the proposed methods are powerful fast numerical tools to find accurate solutions. It is illustrated that efficiency of these methods is based on proper choosing of initial guess. 
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     author = {Safar Irandoust-pakchin and Hossein Kheiri and Somayeh Abdi-mazraeh},
     title = {Efficient computational algorithms for solving one class of fractional boundary value problems},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
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     publisher = {mathdoc},
     volume = {53},
     number = {7},
     year = {2013},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2013_53_7_a5/}
}
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Safar Irandoust-pakchin; Hossein Kheiri; Somayeh Abdi-mazraeh. Efficient computational algorithms for solving one class of fractional boundary value problems. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 53 (2013) no. 7. http://geodesic.mathdoc.fr/item/ZVMMF_2013_53_7_a5/