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

共 50 条

[1] Variational formulation of time-fractional parabolic equations
Karkulik, Michael
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2018, 75 (11) : 3929 - 3938
[2] Stability results for backward time-fractional parabolic equations
Dinh Nho Hao
Liu, Jijun
Nguyen Van Duc
Nguyen Van Thang
INVERSE PROBLEMS, 2019, 35 (12)
[3] Almost automorphic solutions for nonautonomous parabolic evolution equations
Mahmoud Baroun
Khalil Ezzinbi
Kamal Khalil
Lahcen Maniar
Semigroup Forum, 2019, 99 : 525 - 567
[4] SEMILINEAR CAPUTO TIME-FRACTIONAL PSEUDO-PARABOLIC EQUATIONS
Nguyen Huy Tuan
Vo Van Au
Xu, Runzhang
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2021, 20 (02) : 583 - 621
[5] Almost automorphic solutions for nonautonomous parabolic evolution equations
Baroun, Mahmoud
Ezzinbi, Khalil
Khalil, Kamal
Maniar, Lahcen
SEMIGROUP FORUM, 2019, 99 (03) : 525 - 567
[6] Almost Automorphic Solutions to Abstract Fractional Differential Equations
Hui-Sheng Ding
Jin Liang
Ti-Jun Xiao
Advances in Difference Equations, 2010
[7] Almost Automorphic Solutions to Abstract Fractional Differential Equations
Ding, Hui-Sheng
Liang, Jin
Xiao, Ti-Jun
ADVANCES IN DIFFERENCE EQUATIONS, 2010,
[8] Pointwise-in-time a posteriori error control for time-fractional parabolic equations
Kopteva, Natalia
APPLIED MATHEMATICS LETTERS, 2022, 123
[9] Almost automorphic mild solutions to fractional differential equations
Araya, Daniela
Lizama, Carlos
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 69 (11) : 3692 - 3705
[10] Almost periodic and almost automorphic solutions to semilinear parabolic boundary differential equations
Baroun, M.
Maniar, L.
N'Guerekata, G. M.
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 69 (07) : 2114 - 2124

← 1 2 3 4 5 →