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.
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 91 0 of the model is introduced, and the threshold dynamics based on 91 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：
[Ghani, Muhammad Usman] Department of Mathematics, Khawaja Fareed University of Engineering &Information Technology, Rahim Yar Khan, Punjab, Pakistan;College of Science, Hunan City University, Yiyang, P. R. China;Department of Mathematics, Huzhou University, Huzhou, P. R. China;[Ghaffar, Abdul] Department of Mathematics, Faculty of Science, Ghazi University, D. G. Khan, Pakistan
通讯机构：
[Mustafa Inc] D;Department of Computer Engineering, Biruni University, Istanbul, Turkey<&wdkj&>Department of Medical Research, China Medical University, Taichung, Taiwan
关键词：
Zagreb polynomials;Zagreb indices;benzenoid triangular system;benzenoid Hourglass system;05C07;05C09;05C31;05C76;05C99
摘要：
In this article, we study benzenoid Triangular system and benzenoid Hourglass system and we compute Zagreb polynomials for benzenoid Triangular system and benzenoid Hourglass system and from these Zagreb polynomials we catch up degree based Zagreb indices.
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>
