作者机构：
[Chu, Yu-Ming] Hunan City Univ, Coll Sci, Yiyang 413000, Hunan, Peoples R China.;[Chu, Yu-Ming] Huzhou Univ, Dept Math, Huzhou 313000, Zhejiang, Peoples R China.;[Chu, Yu-Ming] Hangzhou Normal Univ, Inst Adv Study Honoring Chen Jian Gong, Hangzhou 311121, Zhejiang, Peoples R China.;[Yassen, Mansour F.] Prince Sattam Bin Abdulaziz Univ, Dept Math, Coll Sci & Humanities Al Aflaj, Al Aflaj 11912, Saudi Arabia.;[Yassen, Mansour F.] Damietta Univ, Fac Sci, Dept Math, Dumyat 34517, Egypt.
通讯机构：
[PONGSAKORN SUNTHRAYUTH] D;Department of Mathematics and Computer Science, Faculty of Science and Technology, Rajamangala University of Technology Thanyaburi (RMUTT), Thanyaburi, Pathumthani 12110, Thailand
关键词：
Fourth Wave Cases;COVID-19 Fractional Model;Estimations of Parameters;Results and Discussions
作者：
Song, Ying-Qing;Raza, Ali;Al-Khaled, Kamel;Farid, Saadia;Khan, M. Ijaz;...
期刊：
Case Studies in Thermal Engineering,2021年27:101266 ISSN：2214-157X
通讯作者：
Shi, Qiu-Hong(shiqiuhong@zjhu.edu.cn);Khan, M. Imran(imrankhan@cecos.edu.pk)
作者机构：
[Song, Ying-Qing] Hunan City Univ, Coll Sci, Yiyang 413000, Peoples R China.;[Raza, Ali; Farid, Saadia] Univ Engn & Technol, Dept Math, Lahore 54890, Pakistan.;[Al-Khaled, Kamel] Jordan Univ Sci & Technol, Dept Math & Stat, POB 3030, Irbid 22110, Jordan.;[Khan, M. Ijaz] Dept Math & Stat, Riphah Int Univ I-14, Islamabad 44000, Pakistan.;[Khan, M. Ijaz] King Abdulaziz Univ, Fac Sci, Dept Math, Nonlinear Anal & Appl Math NAAM Res Grp, POB 80257, Jeddah 21589, Saudi Arabia.
通讯机构：
[Qiu-Hong Shi] D;[M. Imran Khan] C;CECOS University of IT & Emerging Sciences, Peshawar, Pakistan<&wdkj&>Department of Mathematics, Huzhou University, Huzhou, 313000, PR China
摘要：
The current analysis deals with the nanofluid flow over a vertical thin needle having gyrotactic microorganisms. Further, the incompressible liquid is electrically conducted in the existence of magnetic field. The important effect of thermophoresis and Brownian motion has been involved in the model of nanofluid. The system of dimensionless form of ordinary differential equations (ODE's) are obtained by applying appropriate transformations to the formulated problem defined by the system of partial differential equations (PDE's). Later, these reduced ODE's are tackled numerically by using Runge-Kutta-based shooting process. Finally, keeping in view of physical significance of flow parameters, the graphical analysis for prominent parameters is portrayed and discussed in detail. The outcome exposed that the velocity gradient reduces for rising values of magnetic and buoyancy ratio parameter. The upsurge in Biot number and radiation parameter enhances the heat passage. The motile microorganisms density number improves for growing values of Lewis number and declines for improved values of Peclet number. (c) 2021 Elsevier Ltd. All rights reserved.
期刊：
Applied Mathematics and Computation,2019年348:552-564 ISSN：0096-3003
通讯作者：
Chu, Yu-Ming
作者机构：
[Yang, Zhen-Hang] Hunan City Univ, Coll Sci, Yiyang 413000, Peoples R China.;[Yang, Zhen-Hang] State Grid Zhejiang Elect Power Res Inst, Customer Serv Ctr, Hangzhou 310009, Zhejiang, Peoples R China.;[Chu, Yu-Ming] Huzhou Univ, Dept Math, Hzhou 313000, Peoples R China.;[Zhang, Wen] Icahn Sch Med Mt Sinai, Friedman Brain Inst, New York, NY 10029 USA.
摘要：
In the article, we prove that the double inequality pi/2J(r') - 51 pi-160/160 r(16) < epsilon(r) < pi/2(r') - 5 pi/3x2(31 )r(16) holds for all r is an element of (0, 1), where epsilon(r) = integral( pi/2)(0)root 1-r(2)sin(2)(t)dt is the complete elliptic integral of the second kind, r' = (1 - r(2))(1/2) and J(r) = 51r(2) + 20r root r + 50r + 20 root r + 51/16(5r + 2 root r + 5). (C) 2018 Elsevier Inc. All rights reserved.
作者机构：
[孙锦; 袁承程; 卓东; 任国平; 刘黎明] College of Resources and Environmental Sciences, China Agricultural University, Beijing, 100193, China;[任国平] College of Management, Hunan City University, Yiyang, Hunan, 413000, China
通讯机构：
[Liu, L.] C;College of Resources and Environmental Sciences, China Agricultural University, Beijing, China
期刊：
Agro Food Industry Hi-Tech,2017年28(1):145-147 ISSN：1722-6996
通讯作者：
Xiong, Peiying
作者机构：
[Dai, Anding; Xiong, Peiying] Hunan City Univ, Coll Math & Comp Sci, Yiyang, Hunan, Peoples R China.
通讯机构：
[Xiong, Peiying] H;Hunan City Univ, Coll Math & Comp Sci, Yiyang, Hunan, Peoples R China.
关键词：
Fuzzy and discrete;Impulse;Kinetics;Neural network;Stochastic;Time-varying delay
摘要：
In order to figure out the influence of time-varying delays and impulse on the stability of stochastic and discrete neural network, and supplement the results of kinetics study on stochastic and discrete neural network, the analysis about the dynamic system of stochastic and discrete neural network is carried out in this thesis based on the stochastic and discrete neural network with time-varying delays and impulse and theories of kinetics study. Besides, methods such as differential inequality, matrix and numerical simulation are adopted herein to further study the stability of stochastic and discrete neural network with time-varying delays and impulse. And it has been found through kinetics study that the stably stochastic and discrete neural network with time-varying delays and impulse becomes not stable after introducing time-varying delays and impulse, and the instability is quite unstable.
作者机构：
[赵旭; 洪开荣] School of Business, Central South University, Changsha, 410083, China;[赵旭] Department of Urban Management, Hunan City University, Yiyang, 413000, China
摘要：
In this paper, not only some novel sufficient criteria for stability of discrete delay neural networks but also a new discriminant method for self synchronization of Hopfield neural networks are considered. Some novel stability criteria for discrete delay neural networks are obtained if the time average of the difference for two coefficients on some fixed lengths is lower bounded by some positive numbers. Moreover, a new discrete Halanay inequality is given, which extends the existing results. Based on the Halanay inequality, a novel sufficient criterion on self synchronization of Hopfield neural networks with time delay is obtained. Two numerical examples are given to demonstrate the effectiveness of proposed methods.
摘要：
In order to figure out influences of variable delay on stability of discrete fuzzy neural network loop and supplement achievements of kinetic study on discrete fuzzy neural network system, the author has the in-depth study on kinetic system of discrete fuzzy neural network loop on the basis of variable delay and discrete fuzzy neural network theory. Moreover, with mathematical model, matrix analysis and numerical simulation, the author explores index stability and correctness of discrete fuzzy neural network loop with variable delay. Findings of kinetic study show that after introducing variable delay, stable standards of discrete fuzzy neural network loop system have the larger time-lag dependence and it has the stronger conservatism.
作者机构：
[Huang, Xin; Luo, Yi-Ping] Hunan City Univ, Dept Math, Yiyang 413000, Peoples R China.;[Huang, Xin] State Stat Bur, Key Lab Stat Informat Technol & Data Min, Beijing 100826, Peoples R China.;[Xu, Qing-Song] Cent S Univ, Sch Math & Stat, Changsha 410075, Hunan, Peoples R China.;[Liang, Yi-Zeng] Cent S Univ, Res Ctr Modernizat Tradit Chinese Med, Changsha 410083, Hunan, Peoples R China.
通讯机构：
[Huang, Xin] H;[Huang, Xin] S;Hunan City Univ, Dept Math, Yiyang 413000, Peoples R China.;State Stat Bur, Key Lab Stat Informat Technol & Data Min, Beijing 100826, Peoples R China.
期刊：
JOURNAL OF INTELLIGENT & FUZZY SYSTEMS,2017年32(3):2295-2308 ISSN：1064-1246
通讯作者：
Wang, Jian-Qiang
作者机构：
[Wang, Meng-Xian; Wang, Jian-Qiang] Cent S Univ, Sch Business, Changsha 410083, Hunan, Peoples R China.;[Wang, Meng-Xian] Hunan City Univ, Sch Math & Computat Sci, Yiyang, Peoples R China.;[Wang, Jian-Qiang] Key Lab Hunan Prov Mobile Business Intelligence, Changsha, Hunan, Peoples R China.;[Wang, Jian-Qiang] Mobile E Business Collaborat Innovat Ctr Hunan Pr, Changsha, Hunan, Peoples R China.
通讯机构：
[Wang, Jian-Qiang] C;Cent S Univ, Sch Business, Changsha 410083, Hunan, Peoples R China.
摘要：
Anomaly detection is an important task for applications involving Big Data. Comparing with traditional method, anomaly detection in Big Data confronts growing amounts of data with high dimensionality and complex structures, which require more real-time analysis. This paper presents a fuzzy input-output system for anomalous data using electronic consumer records (ECR), a trapezium-cloud-map-filtration (TCMF) framework and a value mining model. ECRs are used to add or remove criteria based on consumers' consumption. In addition, MapReduce framework and trapezium clouds generated from each subsample are aggregated by using the aggregated trapezium cloud as a filter for each subsample. Then, a fuzzy logic-based value mining model is proposed based on Takagi-Sugeno model (T-S model) and trapezium clouds. This paper establishes a system that can improve decision-making accuracy by filtering large-scale data, and an illustrative example using a hotel booking situation is presented to verify the validity and feasibility of the proposed model. Finally, a comparative analysis is conducted between the proposed approach and existing methods.
作者机构：
[管青春; 马聪; 孙锦; 任国平; 刘黎明] College of Resources and Environment, China Agricultural University, Beijing, 100193, China;[任国平] College of Management, Hunan City University, Yiyang, 413000, China
通讯机构：
College of Resources and Environment, China Agricultural University, Beijing, China
期刊：
Mathematical Problems in Engineering,2016年2016:1-5 ISSN：1024-123X
通讯作者：
Chu, Yu-Ming
作者机构：
[Qian, Wei-Mao] Huzhou Broadcast & TV Univ, Sch Distance Educ, Huzhou 313000, Peoples R China.;[Chu, Yu-Ming; Zhang, Xiao-Hui] Hunan City Univ, Sch Math & Computat Sci, Yiyang 413000, Peoples R China.
通讯机构：
[Chu, Yu-Ming] H;Hunan City Univ, Sch Math & Computat Sci, Yiyang 413000, Peoples R China.
摘要：
We prove that the double inequality J α ( a , b ) < U ( a , b ) < J β ( a , b ) holds for all a , b > 0 with a ≠ b if and only if α ≤ 2 / ( π - 2 ) = 0.8187 ⋯ and β ≥ 3 / 2 , where U ( a , b ) = ( a - b ) / [ 2 arctan ( ( a - b ) / 2 a b ) ] , and J p ( a , b ) = p ( a p + 1 - b p + 1 ) / [ ( p + 1 ) ( a p - b p ) ] ( p ≠ 0 , - 1 ) , J 0 ( a , b ) = ( a - b ) / ( log a - log b ) , and J - 1 ( a , b ) = a b ( log a - log b ) / ( a - b ) are the Yang and p th one-parameter means of a and b , respectively.
作者机构：
[袁承程; 付永虎; 任国平; 刘黎明] College of Resources and Environment, China Agricultural University, Beijing, China;[宋志军] Miyun Branch of Capital University of Economics and Business, Beijing, China;[任国平] College of Urban Management, Hunan City University, Yiyang, China
通讯机构：
College of Resources and Environment, China Agricultural University, Beijing, China
摘要：
In this paper, the adaptive exponential synchronization problem of neutral-type coupled neural networks with Markovian switching parameters is investigated. The switching parameters are modeled as a continuous time, finite state Markov chain. Based on Lyapunov stability theory, stochastic analysis and matrix theory, some sufficient conditions for exponential synchronization in mean square are derived. The adaptive controllers are added to part of nodes, and the adaptive laws are depend on Markov chain and error states. Two numerical examples are exhibited to illustrate the validity of the theoretical results. Through the comparison of average value of synchronization control cost and synchronization time, we verify that control different nodes may be more effectively to achieve synchronization than control fixed nodes when the network topology is switching by a Markov chain.
