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

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

Chinese Quarterly Journal of Mathematics ›› 2024, Vol. 39 ›› Issue (3): 295-306.doi: 10.13371/j.cnki.chin.q.j.m.2024.03.007

Previous Articles Next Articles

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).

Abstract

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

CLC Number:

O187.1

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.

[1]	JIANG Dong-yue, TANG Zhong-hua, FANG Shao-mei. Local Existence and Blow-Up of Solutions for Pseudo-Parabolic Equation with Singular Potential and General Nonlinearity [J]. Chinese Quarterly Journal of Mathematics, 2024, 39(2): 111-127.
[2]	FANG Han-bing, XU Bin, YANG Bai-rui. The Gauss-Bonnet Formula of a Conical Metric on a Compact Riemann Surface [J]. Chinese Quarterly Journal of Mathematics, 2024, 39(2): 180-184.
[3]	LI Hong-jun. Hopf-Rinow Theorem on Convex Complex Finsler Manifolds [J]. Chinese Quarterly Journal of Mathematics, 2024, 39(1): 31-45.
[4]	LI Yong-feng, ZHU Cheng-zhi, LIU Yan-wei. Dynamic Analysis of a Predator-Prey Model with State-Dependent Impulsive Effects [J]. Chinese Quarterly Journal of Mathematics, 2023, 38(1): 1-19.
[5]	SARWAR Qanitah, HUANG Zhen-you, ZAHID Abdul Hannan, XU Xin-Jian. On the Eigenvalues and Eigenfunctions of the Sturm-Liouville Operator with the Barrier Potential [J]. Chinese Quarterly Journal of Mathematics, 2023, 38(1): 50-61.
[6]	HE Ru-yan, YUAN Jin-jiang, ZHANG Yuan. A Note on Preemptive Scheduling with Multiple Maintenance Activities to Minimize the Total Late Work [J]. Chinese Quarterly Journal of Mathematics, 2022, 37(4): 331-342.
[7]	SHEN Hui-jun, GENG Zhi-chao. A Note on Single-Machine Lot Scheduling with Splittable Jobs to Minimize the Number of Tardy Jobs [J]. Chinese Quarterly Journal of Mathematics, 2022, 37(4): 412-421.
[8]	GAO Yuan, DANG Jia-rui, PENG Juan. Research on Unbounded Parallel-Batch Scheduling with Jobs Having Set-Up Times [J]. Chinese Quarterly Journal of Mathematics, 2022, 37(4): 422-429.
[9]	ZHAO Qiu-lan, YUAN Jin-jiang. A Note on the Girth of 3-Regular Hamiltonian Graph [J]. Chinese Quarterly Journal of Mathematics, 2022, 37(4): 430-431.
[10]	ZHAN Xiong-feng, RUAN Yi-fei, HUANG He-nan-bei, LI Qi-hui. Generalized Wave Operators in Von Neumann Algebras [J]. Chinese Quarterly Journal of Mathematics, 2022, 37(1): 52-60.
[11]	HE Wei-jiao. Elementary C*-Algebras and Haagerup Tensor Products [J]. Chinese Quarterly Journal of Mathematics, 2021, 36(4): 415-418.
[12]	LIU Hua-qiao. Viaritional Formulas for Translating Solitons with Density [J]. Chinese Quarterly Journal of Mathematics, 2021, 36(1): 32-40.
[13]	FAN Jun-jie , LI Guang-fang , Taogetusang. New Complex Solutions of the Coupled KdV Equations [J]. Chinese Quarterly Journal of Mathematics, 2021, 36(1): 41-48.
[14]	WU Chun-jie. Some Results on the Principal Eigenvector [J]. Chinese Quarterly Journal of Mathematics, 2020, 35(4): 401-409.
[15]	Sarwar Qanitah, Huang Zhen-You, Zahid Abdul Hannan, Xu Xin-Jian. Eigenvalues and Eigenfunctions of Sturm-Liouville Operators with Barrier Potentials [J]. Chinese Quarterly Journal of Mathematics, 0, (): 1-12.

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

PDF (PC)

Knowledge

Abstract

Cite this article

share this article

References

Related Articles 15

Recommended Articles

Metrics

Comments