AN INVERSE SOURCE PROBLEM FOR A GENERALIZED TIME FRACTIONAL DIFFUSION EQUATION

被引：2

作者：

Faizi, R. ^{[1
]}

Atmania, R. ^{[1
]}

机构：

[1] Univ Badji Mokhtar, LMA Lab, POB 12, Annaba 23000, Algeria

来源：

EURASIAN JOURNAL OF MATHEMATICAL AND COMPUTER APPLICATIONS | 2022年 / 10卷 / 01期

关键词：

Inverse problem; Generalized fractional derivative; Bi-orthogonal system; Fourier method; ANOMALOUS DIFFUSION;

D O I：

10.32523/2306-6172-2022-10-1-26-39

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper is devoted to the study of the inverse problem of finding the time-dependent coefficient of a generalized time fractional diffusion equation, in the case of non-local boundary and integral overdetermination conditions. The existence and uniqueness of the solution of the considered inverse problem are obtained by a method based on the expansion of the solution by using a bi-orthogonal system of functions and the fractional calculus. Moreover, we show its continuous dependence on the data. At the end, two examples are presented to illustrate the obtained results.

引用

页码：26 / 39

页数：14

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