Geodesic
Difference methods for solving boundary value problems for fractional differential equations
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 46 (2006) no. 10, pp. 1871-1881

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Difference schemes for second-order ordinary and partial differential equations with a fractional time derivative are considered. Stationary and nonstationary problems for the diffusion equation in one-and multidimensional domains are examined separately. The stability and convergence of the difference schemes for these equations are proved. 
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     author = {F. I. Taukenova and M. H. Shhanukov-Lafishev},
     title = {Difference methods for solving boundary value problems for fractional differential equations},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
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     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2006_46_10_a13/}
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F. I. Taukenova; M. H. Shhanukov-Lafishev. Difference methods for solving boundary value problems for fractional differential equations. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 46 (2006) no. 10, pp. 1871-1881. http://geodesic.mathdoc.fr/item/ZVMMF_2006_46_10_a13/