Uniqueness of identifying multiple parameters in a time-fractional Cattaneo equation

IF 2.9 2区数学 Q1 MATHEMATICS, APPLIED

Applied Mathematics Letters Pub Date : 2024-12-21 DOI:10.1016/j.aml.2024.109438

Yun Zhang, Xiaoli Feng

引用次数: 0

Abstract

This paper addresses an inverse problem involving the simultaneous identification of the fractional order, potential coefficient, initial value and source term in a time-fractional Cattaneo equation. Utilizing the method of Laplace transformation, we demonstrate that the multiple unknowns can be uniquely determined from observational data collected at two boundary points.

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时间分数型Cattaneo方程中辨识多参数的唯一性

本文研究了时间分数阶Cattaneo方程的分数阶阶、位系数、初值和源项同时辨识的反问题。利用拉普拉斯变换的方法，我们证明了从两个边界点的观测数据可以唯一地确定多个未知数。

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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来源期刊

Applied Mathematics Letters 数学-应用数学

CiteScore

7.70

自引率

5.40%

发文量

347

审稿时长

10 days

期刊介绍： The purpose of Applied Mathematics Letters is to provide a means of rapid publication for important but brief applied mathematical papers. The brief descriptions of any work involving a novel application or utilization of mathematics, or a development in the methodology of applied mathematics is a potential contribution for this journal. This journal''s focus is on applied mathematics topics based on differential equations and linear algebra. Priority will be given to submissions that are likely to appeal to a wide audience.