作者机构：
[Yan, Rian] Hunan City Univ, Sch Math & Comp Sci, Yiyang 413000, Peoples R China.;[Zhao, Yige] Univ Jinan, Sch Math Sci, Jinan 250022, Peoples R China.
会议名称：
36th Chinese Control and Decision Conference (CCDC)
会议时间：
MAY 25-27, 2024
会议地点：
Xian, PEOPLES R CHINA
会议主办单位：
[Yan, Rian] Hunan City Univ, Sch Math & Comp Sci, Yiyang 413000, Peoples R China.^[Zhao, Yige] Univ Jinan, Sch Math Sci, Jinan 250022, Peoples R China.
会议论文集名称：
Chinese Control and Decision Conference
关键词：
Fractional boundary value problem;Positive solution;phi-Laplacian operator
摘要：
In this paper, a class of boundary value problems of nonlinear fractional differential equations with phi-Laplacian operator is investigated. Based on the Schauder fixed point theorem, a new existence result for positive solutions, in terms of the value of the parameter h is obtained. Finally, an example is given to illustrate the main result.
作者机构：
[Shi, Yao] Hebei Univ Engn, Sch Math & Phys, Handan 056038, Peoples R China.;[Yan, Rian] Hunan City Univ, Sch Math & Comp Sci, Yiyang 413000, Peoples R China.;[Liu, Tao] Northeastern Univ Qinhuangdao, Sch Math & Stat, Qinhuangdao 066004, Peoples R China.
通讯机构：
[Shi, Y ; Yan, R ] H;Hebei Univ Engn, Sch Math & Phys, Handan 056038, Peoples R China.;Hunan City Univ, Sch Math & Comp Sci, Yiyang 413000, Peoples R China.
摘要：
In this paper, a high-accuracy conservative implicit algorithm for computing the space fractional coupled Schr & ouml;dinger-Boussinesq system is constructed. Meanwhile, the conservative nature, a priori boundedness, and solvability of the numerical solution are presented. Then, the proposed algorithm is proved to be second-order convergence in temporal and fourth-order spatial convergence using the discrete energy method. Finally, some numerical experiments validate the effectiveness of the conservative algorithm and confirm the accuracy of the theoretical results for different choices of the fractional-order alpha.
作者机构：
[Rian Yan] School of Mathematics and Computer Science, Hunan City University, Yiyang, P. R. China;[Yige Zhao; Jing Han] School of Mathematical Sciences, University of Jinan, Jinan, P. R. China
会议名称：
2024 24th International Conference on Control, Automation and Systems (ICCAS)
会议时间：
29 October 2024
会议地点：
Jeju, Korea, Republic of
会议论文集名称：
2024 24th International Conference on Control, Automation and Systems (ICCAS)
关键词：
Fractional boundary value problem;Positive solution;φ-Laplacian operator
摘要：
This paper investigates the existence of positive solutions to boundary value problems for nonlinear fractional differential equations with φ-Laplacian operator, which is fundamental to the study of control theory for such problems. Based on fixed point theorems, several new existence results for positive solutions, in terms of the value of parameters h<inf xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">1</inf>,h<inf xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">2</inf>,h<inf xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">3</inf> are obtained. Finally, two examples are given to illustrate the main results.
期刊：
TURKISH JOURNAL OF MATHEMATICS,2024年48(4) ISSN：1300-0098
通讯作者：
Yan, R
作者机构：
[Leng, Xuan; Yan, Rian; Li, Yabing] Hunan City Univ, Sch Math & Comp Sci, Yiyang, Peoples R China.;[Zhao, Yige] Univ Jinan, Sch Math Sci, Jinan, Peoples R China.
通讯机构：
[Yan, R ] H;Hunan City Univ, Sch Math & Comp Sci, Yiyang, Peoples R China.
关键词：
Caputo fractional derivatives;sign-changing Green's function;fixed point theorem
摘要：
In this paper, Caputo boundary value problems of order 3 < zeta <= 4 are investigated on the interval [0 , 1] . By Guo-Krasnoselskii fixed point theorem, some criteria of existence and multiplicity of positive and decreasing solutions are established. The main novelty of the paper lies in its capability to achieve positive solutions while the corresponding Green's function changes sign. Finally, two examples are provided to illustrate the application of these results.
作者机构：
[Ding, Qian] Hunan City Univ, Coll Sci, Yiyang 413000, Peoples R China.;[Ding, Qian; Yu, Jianshe; Wang, Kai] Guangzhou Univ, Guangzhou Ctr Appl Math, Guangzhou 510006, Peoples R China.
通讯机构：
[Wang, K ] G;Guangzhou Univ, Guangzhou Ctr Appl Math, Guangzhou 510006, Peoples R China.
关键词：
Fokker-Planck type diffusion;Basic reproduction number;Asymptotic profile;Endemic equilibrium
摘要：
In this paper, a spatially heterogeneous SIRI epidemic model with general morbidity is studied, which conforms to the Fokker–Planck type diffusion law. The basic reproduction number R 0 of the model is introduced, and the threshold dynamics based on R 0 is discussed. In particular, with the help of elliptic eigenvalue theory, we determine the asymptotic profiles of the endemic equilibrium when the diffusion rate of susceptible individuals approaches zero or infinity.
In this paper, a spatially heterogeneous SIRI epidemic model with general morbidity is studied, which conforms to the Fokker–Planck type diffusion law. The basic reproduction number R 0 of the model is introduced, and the threshold dynamics based on R 0 is discussed. In particular, with the help of elliptic eigenvalue theory, we determine the asymptotic profiles of the endemic equilibrium when the diffusion rate of susceptible individuals approaches zero or infinity.
作者机构：
[Rian Yan] School of Mathematics and Computer Science, Hunan City University, Yiyang, P. R. China;[Yabing Li; Yige Zhao] School of Mathematical Sciences, University of Jinan, Jinan, P. R. China
会议名称：
2024 24th International Conference on Control, Automation and Systems (ICCAS)
会议时间：
29 October 2024
会议地点：
Jeju, Korea, Republic of
会议论文集名称：
2024 24th International Conference on Control, Automation and Systems (ICCAS)
关键词：
Variable-order;Existence;Fixed point theorem
摘要：
The existence and uniqueness of solutions of nonlinear fractional differential equations is the key point for stability theory and the design of feedback stabilization controllers. In this paper, we investigate the existence of solutions for initial problems of fractional hybrid differential equations of variable-order 0 < ς(ϱ) < 1. Based on the generalized intervals and piecewise constant functions, the existence of solutions is established with the help of a fixed point theorem in the Banach algebra due to Dhage.
关键词：
3D Navier-Stokes-Voigt equations;admissible trajectories set;admissible control set;feedback control;time optimal control
摘要：
<jats:p>In this article, we discuss a time optimal feedback control for asymmetrical 3D Navier–Stokes–Voigt equations. Firstly, we consider the existence of the admissible trajectories for the asymmetrical 3D Navier–Stokes–Voigt equations by using the well-known Cesari property and the Fillippove’s theorem. Secondly, we study the existence result of a time optimal control for the feedback control systems. Lastly, asymmetrical Clarke’s subdifferential inclusions and asymmetrical 3D Navier–Stokes–Voigt differential variational inequalities are given to explain our main results.</jats:p>
