广义时间分数扩散方程的逆源问题

IF 0.6 Q4 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

Eurasian Journal of Mathematical and Computer Applications Pub Date : 2022-03-01 DOI:10.32523/2306-6172-2022-10-1-26-39

R. Faizi, R. Atmania

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引用次数: 0

摘要

摘要本文研究了在非局部边界和积分超定条件下，广义时间分数扩散方程的时间相关系数的反问题。利用双正交函数系统和分式微积分，在解的表达式的基础上，通过一种方法，得到了所考虑的反问题解的存在性和唯一性。此外，我们展示了它对数据的持续依赖性。最后，通过两个算例对所得结果进行了说明。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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AN INVERSE SOURCE PROBLEM FOR A GENERALIZED TIME FRACTIONAL DIFFUSION EQUATION

Abstract 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 expan- sion 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.

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来源期刊

Eurasian Journal of Mathematical and Computer Applications MATHEMATICS, INTERDISCIPLINARY APPLICATIONS-

CiteScore

1.40

自引率

0.00%

发文量

期刊介绍： Eurasian Journal of Mathematical and Computer Applications (EJMCA) publishes carefully selected original research papers in all areas of Applied mathematics first of all from Europe and Asia. However papers by mathematicians from other continents are also welcome. From time to time Eurasian Journal of Mathematical and Computer Applications (EJMCA) will also publish survey papers. Eurasian Mathematical Journal publishes 4 issues in a year. A working language of the journal is English. Main topics are: - Mathematical methods and modeling in mechanics, mining, biology, geophysics, electrodynamics, acoustics, industry. - Inverse problems of mathematical physics: theory and computational approaches. - Medical and industry tomography. - Computer applications: distributed information systems, decision-making systems, embedded systems, information security, graphics.