On solvability of a nonlocal problem for the Laplace equation with the fractional-order boundary operator

Boundary value problems

Kanat M Shinaliyev¹  Moldir A Muratbekova¹  Batirkhan K Turmetov¹ 

[1] Department of Mathematics, Akhmet Yasawi International Kazakh-Turkish University, Turkistan, Kazakhstan

关键词: Hadamard-Marchaud operator;    fractional derivative;    nonlocal problem;   

DOI  :  10.1186/1687-2770-2014-29

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In the present work, we study properties of some integro-differential operators of the Hadamard-Marchaud type in the class of harmonic functions. As an application of these properties, we consider the question of the solvability of a nonlocal boundary value problem for the Laplace equation in the unit ball. MSC:35J05, 35J25, 26A33.

【 授权许可】

CC BY