Sobolev型分数阶微分方程的伪S-渐近 (ω,c)-周期解

doi:10.13371/j.cnki.chin.q.j.m.2024.03.007

数学季刊 ›› 2024, Vol. 39 ›› Issue (3): 295-306.doi: 10.13371/j.cnki.chin.q.j.m.2024.03.007

Sobolev型分数阶微分方程的伪S-渐近 (ω,c)-周期解

School of Mathematics and Statistics, Xidian University, Xi’an 710071, China

收稿日期:2023-11-11 出版日期:2024-09-30 发布日期:2024-09-30
通讯作者: MAO Hang-ning (1998-), male, native of Luoyang, Henan, postgraduate of Xidian University, engages in research on evolution equations with applications; E-mail:hnmao@stu.xidian.edu.cn
作者简介:MAO Hang-ning (1998-), male, native of Luoyang, Henan, postgraduate of Xidian University, engages in research on evolution equations with applications; CHANG Yong-kui (1976-), male, native of Huining, Gansu, professor of Xidian University, engages in research on evolution equations with applications.
基金资助:
This work was partially supported by NSF of Shaanxi Province (Grant No. 2023-JC-YB-011).

Pseudo S-Asymptotically (ω,c)-Periodic Solutions to Fractional Differential Equations of Sobolev Type

School of Mathematics and Statistics, Xidian University, Xi’an 710071, China

Received:2023-11-11 Online:2024-09-30 Published:2024-09-30
Contact: MAO Hang-ning (1998-), male, native of Luoyang, Henan, postgraduate of Xidian University, engages in research on evolution equations with applications; E-mail:hnmao@stu.xidian.edu.cn
About author:MAO Hang-ning (1998-), male, native of Luoyang, Henan, postgraduate of Xidian University, engages in research on evolution equations with applications; CHANG Yong-kui (1976-), male, native of Huining, Gansu, professor of Xidian University, engages in research on evolution equations with applications.
Supported by:
This work was partially supported by NSF of Shaanxi Province (Grant No. 2023-JC-YB-011).

摘要/Abstract

摘要： In this paper, we firstly recall some basic results on pseudo S-asymptotically (ω,c)-periodic functions and Sobolev type fractional differential equation. We secondly investigate some existence of pseudo S-asymptotically (ω,c)-periodic solutions for a semilinear fractional differential equations of Sobolev type. We finally present a simple example.

关键词: Pseudo S-asymptotically (ω,c)-periodic functions, Evolution equations, Sobolev type, Fractional differential equations, Existence and uniqueness

Abstract: In this paper, we firstly recall some basic results on pseudo S-asymptotically (ω,c)-periodic functions and Sobolev type fractional differential equation. We secondly investigate some existence of pseudo S-asymptotically (ω,c)-periodic solutions for a semilinear fractional differential equations of Sobolev type. We finally present a simple example.

Key words: Pseudo S-asymptotically (ω,c)-periodic functions, Evolution equations; Sobolev type, Fractional differential equations, Existence and uniqueness

中图分类号:

O187.1

毛行宁, 常永奎. Sobolev型分数阶微分方程的伪S-渐近 (ω,c)-周期解[J]. 数学季刊, 2024, 39(3): 295-306.

MAO Hang-ning, CHANG Yong-kui. Pseudo S-Asymptotically (ω,c)-Periodic Solutions to Fractional Differential Equations of Sobolev Type[J]. Chinese Quarterly Journal of Mathematics, 2024, 39(3): 295-306.

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Sobolev型分数阶微分方程的伪S-渐近 (ω,c)-周期解

Pseudo S-Asymptotically (ω,c)-Periodic Solutions to Fractional Differential Equations of Sobolev Type

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