On some integro-differential operators in the class of harmonic functions and their applications

被引：3
|
作者：
V. V. Karachik
B. Kh. Turmetov
B. T. Torebek
机构：
[1] South-Ural State University,
[2] Kh. Yasavi International Kazakh-Turkish University,undefined
来源：
Siberian Advances in Mathematics | 2012年 / 22卷 / 2期
关键词：
Laplace equation; Riemann-Liouville operator; Kaputo operator; nonlocal boundary value problem;
D O I：
10.3103/S1055134412020046
中图分类号：
学科分类号：
摘要：
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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页码：115 / 134
页数：19
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