Geodesic
On some integro-differential operators in the class of harmonic functions and their applications
Matematičeskie trudy, Tome 14 (2011) no. 1, pp. 99-125

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We study properties of integro-differential operators generalizing the operators of the Riemann–Liouville and Caputo fractional differentiation in the class of harmonic functions. The properties obtained are applied to examine some local and nonlocal boundary value problems for the Laplace equation in the unit ball. 
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V. V. Karachik; B. K. Turmetov; B. T. Torebek. On some integro-differential operators in the class of harmonic functions and their applications. Matematičeskie trudy, Tome 14 (2011) no. 1, pp. 99-125. http://geodesic.mathdoc.fr/item/MT_2011_14_1_a3/