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.

引用

页数：16

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