一类边界分数阶导数型传输问题的整体存在性和能量衰减

IF 1.8 3区数学 Q1 MATHEMATICS

AIMS Mathematics Pub Date : 2023-01-01 DOI:10.3934/math.20231412

Noureddine Bahri, Abderrahmane Beniani, Abdelkader Braik, Svetlin G. Georgiev, Zayd Hajjej, Khaled Zennir

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引用次数: 1

摘要

>& gt;& gt;& gt;& gt;本文在传输问题的边界条件下，高精度地考虑了分数阶导数的影响。利用半群理论，证明了在二阶方程中以分数项为边界条件的有界区域上传输问题解的存在唯一性。在适当的传输条件和边界条件下，通过引入半群理论，讨论了解的指数稳定性和强稳定性。</ </abstract>

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Global existence and energy decay for a transmission problem under a boundary fractional derivative type

The paper considers the effects of fractional derivative with a high degree of accuracy in the boundary conditions for the transmission problem. It is shown that the existence and uniqueness of the solutions for the transmission problem in a bounded domain with a boundary condition given by a fractional term in the second equation are guaranteed by using the semigroup theory. Under an appropriate assumptions on the transmission conditions and boundary conditions, we also discuss the exponential and strong stability of solution by also introducing the theory of semigroups.

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来源期刊

AIMS Mathematics Mathematics-General Mathematics

CiteScore

3.40

自引率

13.60%

发文量

769

审稿时长

90 days

期刊介绍： AIMS Mathematics is an international Open Access journal devoted to publishing peer-reviewed, high quality, original papers in all fields of mathematics. We publish the following article types: original research articles, reviews, editorials, letters, and conference reports.