On a class of fractional elliptic problems with an involution perturbation

被引：2
作者：
Turmetov, Batirkhan Kh. [1 ]
Torebek, Berikbol T. [2 ]
机构：
[1] Akhmet Yasawi Univ, Turkistan 161200, Kazakhstan
[2] Inst Math & Math Modeling, Alma Ata 050010, Kazakhstan
来源：
INTERNATIONAL CONFERENCE ON ANALYSIS AND APPLIED MATHEMATICS (ICAAM 2016) | 2016年 / 1759卷
关键词：
Caputo operator; Helmholtz equation; Involution; Fractional differential equation; Mittag-Leffer function; Boundary value problem; BOUNDARY-VALUE-PROBLEMS; DIFFERENTIAL-OPERATORS; EQUATION; ANALOG;
D O I：
10.1063/1.4959684
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study some boundary value problems for fractional analogue of Helmholtz equation with an involution perturbation in a rectangular domain. Theorems on existence and uniqueness of a solution of the considered problems are proved by spectral method.
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页数：6
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