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

MAO Hang-ning, CHANG Yong-kui

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

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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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

Cite this article

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

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