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Modified Bavrin operators and their applications

Batirkhan TurmetovAhmet Yassawi International Kazakh-Turkish University, Turkestan, KazakhstanBerikbol T. TorebekAhmet Yassawi International Kazakh-Turkish University, Turkestan, Kazakhstan
2015en
ABI

Abstract

In the class of harmonic functions, we study the properties of fractional integro-differential operators. By way of application of these properties, we analyze the solvability of some boundary value problems for the Laplace equation in the ball and derive solvability conditions. The smoothness of the solutions in the Hölder class is studied as well.

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Cited by 20 references