数学季刊 >

2024 , Vol. 39 >Issue 3: 295 - 306

DOI: https://doi.org/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

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

收稿日期: 2023-11-11

  网络出版日期: 2024-09-30

基金资助

This work was partially supported by NSF of Shaanxi Province (Grant No. 2023-JC-YB-011).

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

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

Received date: 2023-11-11

  Online published: 2024-09-30

Supported by

This work was partially supported by NSF of Shaanxi Province (Grant No. 2023-JC-YB-011).

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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

本文引用格式

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

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

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