Almost Automorphic Strong Oscillation in Time-Fractional Parabolic Equations

被引：2

作者：

Zhang, Tianwei ^{[1
]}

Li, Yongkun ^{[1
]}

Zhou, Jianwen ^{[1
]}

机构：

[1] Yunnan Univ, Dept Math, Kunming 650091, Peoples R China

来源：

FRACTAL AND FRACTIONAL | 2023年 / 7卷 / 01期

基金：

中国国家自然科学基金;

关键词：

strong solution; almost automorphy; Galerkin; Fourier; Picard; LINEAR DIFFERENTIAL/DIFFERENCE EQUATIONS; MILD SOLUTIONS; WEIGHTED PSEUDO; EVOLUTION-EQUATIONS; CAUCHY-PROBLEMS; INEQUALITIES; ORDER;

D O I：

10.3390/fractalfract7010088

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper gives some results on almost automorphic strong solutions to time-fractional partial differential equations by employing a mix o thef Galerkin method, Fourier series, and Picard iteration. As an application, the existence, uniqueness, and global Mittag-Leffler convergence of almost automorphic strong solution are discussed to a concrete time-fractional parabolic equations. To the best of our knowledge, this is the first study on almost automorphic strong solutions on this subject.

引用

页数：26

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