Recovering Source Term and Temperature Distribution for Nonlocal Heat Equation

被引：6
|
作者：
Ilyas, Asim [1 ]
Malik, Salman A. [1 ]
Saif, Summaya [1 ]
机构：
[1] COMSATS Univ Islamabad, Dept Math, Pk Rd, Islamabad, Pakistan
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2023年 / 439卷
关键词：
Inverse problem; Generalized fractional derivative; Riesz basis; Mittag-Leffler functions; INVERSE SOURCE PROBLEM; FRACTIONAL CALCULUS; DYNAMICS;
D O I：
10.1016/j.amc.2022.127610
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider two problems of recovering the source terms along with heat concentration for a time fractional heat equation involving the so-called mth level fractional derivative (LFD) (proposed in a paper by Luchko [1]) in time variable of order between 0 and 1. The solutions of both problems are obtained by using eigenfunction expansion method. The series solutions of the inverse problems are proved to be unique and regular. The ill-posedness of inverse problems is proved in the sense of Hadamard and some numerical examples are presented.(c) 2022 Elsevier Inc. All rights reserved.
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页数：16
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