广义非局部Hallaire-Luikov水分传递方程的存在唯一性结果

IF 1.2 4区数学 Q2 MATHEMATICS, APPLIED

Acta Applicandae Mathematicae Pub Date : 2025-02-05 DOI:10.1007/s10440-025-00712-2

Asim Ilyas, Salman A. Malik, Kamran Suhaib

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引用次数: 0

摘要

本文主要研究含Hilfer分数阶导数的Hallaire-Luikov水分传递方程的逆问题。用Hallaire-Luikov方程研究了毛细管多孔体的传热传质问题。用谱展开法求逆问题的解。通过对所涉及的函数施加一定的条件，并利用多项Mittag-Leffler函数的某些性质，证明了该方程的解是正则且唯一的，即逆问题。此外，逆问题在Hadamard意义上表现出病态性。文章最后以一个例子来证明这些理论发现。

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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Existence and Uniqueness Results for Generalized Non-local Hallaire-Luikov Moisture Transfer Equation

This article focuses on inverse problem for Hallaire-Luikov moisture transfer equation involving Hilfer fractional derivative in time. Hallaire-Luikov equation is used to study heat and mass transfer in capillary-porous bodies. Spectral expansion method is used to find the solution of the inverse problem. By imposing certain conditions on the functions involved and utilizing certain properties of multinomial Mittag-Leffler function, it is shown that the solution to the equation, known as the inverse problem, is regular and unique. Moreover, the inverse problem exhibits ill-posedness in the sense of Hadamard. The article ends with an example to demonstrate these theoretical findings.

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来源期刊

Acta Applicandae Mathematicae 数学-应用数学

CiteScore

2.80

自引率

6.20%

发文量

审稿时长

16.2 months

期刊介绍： Acta Applicandae Mathematicae is devoted to the art and techniques of applying mathematics and the development of new, applicable mathematical methods. Covering a large spectrum from modeling to qualitative analysis and computational methods, Acta Applicandae Mathematicae contains papers on different aspects of the relationship between theory and applications, ranging from descriptive papers on actual applications meeting contemporary mathematical standards to proofs of new and deep theorems in applied mathematics.