NONLOCAL INITIAL BOUNDARY VALUE PROBLEM FOR THE TIME-FRACTIONAL DIFFUSION EQUATION

被引：0
|
作者：
Sadybekov, Makhmud [1 ]
Oralsyn, Gulaiym [1 ,2 ]
机构：
[1] Inst Math & Math Modeling, 125 Pushkin Str, Alma Ata 050010, Kazakhstan
[2] Al Farabi Kazakh Natl Univ, Alma Ata, Kazakhstan
来源：
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2017年
关键词：
Time-fractional diffusion equation; fundamental solution; time-fractional heat potential; layer potentials; nonlocal boundary condition; UNIQUENESS; EXISTENCE;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article we discuss a method for constructing trace formulae for the heat-volume potential of the time-fractional diffusion equation to lateral surfaces of cylindrical domains and use these conditions to construct as well as to study a nonlocal initial boundary value problem for the time-fractional diffusion equation.
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页数：7
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