Geodesic
A fractional analog of the Laplace operator and its ordinary property
Trudy Instituta matematiki, Tome 19 (2011) no. 2, pp. 82-86.

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A fractional analog of the Laplace operator is considered. Values of this operator in case of power functions are calculated. 
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V. V. Lipnevich. A fractional analog of the Laplace operator and its ordinary property. Trudy Instituta matematiki, Tome 19 (2011) no. 2, pp. 82-86. http://geodesic.mathdoc.fr/item/TIMB_2011_19_2_a8/

[1] Samko S.G., Kilbas A.A., Marichev O.I., Integraly i proizvodnye drobnogo poryadka i nekotorye ikh prilozheniya, Nauka i tekhnika, Minsk, 1987 | MR | Zbl

[2] Dalla Riva M., Yakubovich S., “On a Riemann–Liouville fractional analog of the Laplace operator with positive energy”, Published on line 09.06.2011, Integral Transforms and Special Functions http://dx.doi.org/10.1080/10652469.2011.576832