About One Inverse Problem of Time Fractional Evolution with an Involution Perturbation

被引：0

作者：

Aibek, Baurzhan ^{[1
]}

Aimakhanova, Aizat ^{[1
,2
]}

Besbaev, Gani ^{[1
,3
]}

Sadybekov, Makhmud A. ^{[1
]}

机构：

[1] Inst Math & Math Modeling, Alma Ata 050010, Kazakhstan

[2] Asfendiyarov Kazakh Natl Med Univ, Alma Ata 050000, Kazakhstan

[3] Auezov South Kazakhstan State Univ, Shymkent 160012, Kazakhstan

来源：

INTERNATIONAL CONFERENCE ON ANALYSIS AND APPLIED MATHEMATICS (ICAAM 2018) | 2018年 / 1997卷

关键词：

UNKNOWN SOURCE; HEAT-EQUATION; TEMPERATURE; OPERATOR; DENSITY; SPACE;

D O I：

10.1063/1.5049006

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider an inverse problem for a one-dimensional fractional evolution equation with involution and with periodic boundary conditions with respect to a space variable. This equation interpolates heat and wave equations. The inverse problem consists in the restoration (simultaneously with the solution) of the unknown right-hand side of the equation, which depends only on the spatial variable. The conditions for redefinition are initial and final states. Existence and uniqueness results for the given problem are obtained via the method of separation of variables.

引用

页数：9

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