Direct and inverse problems for time-fractional pseudo-parabolic equations

被引：7
|
作者：
Ruzhansky, Michael [1 ,2 ]
Serikbaev, Daurenbek [3 ,4 ]
Torebek, Berikbol T. [1 ,3 ,4 ]
Tokmagambetov, Niyaz [1 ,3 ,4 ]
机构：
[1] Univ Ghent, Dept Math Anal Log & Discrete Math, Ghent, Belgium
[2] Queen Mary Univ London, Sch Math Sci, London, England
[3] Al Farabi Kazakh Natl Univ, Alma Ata, Kazakhstan
[4] Inst Math & Math Modeling, Alma Ata, Kazakhstan
来源：
QUAESTIONES MATHEMATICAE | 2022年 / 45卷 / 07期
基金：
英国工程与自然科学研究理事会;
关键词：
Pseudo-parabolic equation; Caputo fractional derivative; weak solution; direct problem; inverse problem; DEPENDENT SOURCE; DIFFUSION; UNIQUENESS; FLUID; FLOW;
D O I：
10.2989/16073606.2021.1928321
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The purpose of this paper is to establish the solvability results to direct and inverse problems for time-fractional pseudo-parabolic equations with the self-adjoint operators. We are especially interested in proving existence and uniqueness of the solutions in the abstract setting of Hilbert spaces.
引用
收藏
页码：1071 / 1089
页数：19
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