On terminal value problem for fractional superdiffusive of Sobolev equation type

IF 1.3 4区 数学 Q2 MATHEMATICS, APPLIED Discrete and Continuous Dynamical Systems-Series S Pub Date : 2023-01-01 DOI:10.3934/dcdss.2023172
Bui Duc Nam, Le Nhat Huynh, Le Dinh Long, Yusuf Gurefe
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Abstract

In this paper, we consider the terminal value problem for fractional super diffusive equation in case linear source function. This equation has many applications in physical phenomena. The results in this study are mainly provide the existence and regularity of the mild solution under the various assumptions of the input data.
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Sobolev方程型分数阶超扩散的终值问题
本文研究了线性源函数情况下分数阶超扩散方程的终值问题。这个方程在物理现象中有许多应用。本文的研究结果主要是提供了在输入数据的各种假设下温和解的存在性和规律性。
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来源期刊
CiteScore
3.70
自引率
5.60%
发文量
177
期刊介绍: Series S of Discrete and Continuous Dynamical Systems only publishes theme issues. Each issue is devoted to a specific area of the mathematical, physical and engineering sciences. This area will define a research frontier that is advancing rapidly, often bridging mathematics and sciences. DCDS-S is essential reading for mathematicians, physicists, engineers and other physical scientists. The journal is published bimonthly.
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