Geodesic
Method of variational interpolation in inverse problems of anomalous diffusion of fractional-differential type
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 24 (2021) no. 4, pp. 393-408.

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The work considers problem of reconstruction of differential equations parameters, describing anomalous diffusion processes, on the base of known solutions. As a tool, is used the variational interpolation method elaborated by the authors earlier. The reconstruction time-dependence of diffusivity and determination of fractional time- and space-derivatives order in anomalous diffusion equation is demonstrated. There is shown a possibility of sufficient accuracy with insignificant computational expanses. 
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V. A. Litvinov; V. V. Uchaikin. Method of variational interpolation in inverse problems of anomalous diffusion of fractional-differential type. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 24 (2021) no. 4, pp. 393-408. http://geodesic.mathdoc.fr/item/SJVM_2021_24_4_a4/

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