FRACTIONAL-ORDER

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Electrical characteristics of a fractional-order 3×n Fan network
《Communications in Theoretical Physics》2024年第4期176-187,共12页Zhi-Zhong Tan Xin Wang 
supported by the National Training Programs of Innovation and Entrepreneurship for Undergraduates(Grant No.202210304006Z).
In this article a new achievement of fractional-order 3×n Fan networks is presented.In the first step,the RT-I method is used to derive the general formulae of the equivalent impedance of fractional-order 3×n Fan ne...
关键词：fractional-order circuit amplitude-frequency characteristics phase-frequency characteristics RT-V theory 
Combination projection synchronization of fractional-order complex dynamic networks with time-varying delay couplings and disturbances
《Communications in Theoretical Physics》2022年第11期16-26,共11页Jie Fang Da Wei NanNan Yin PeiZhao Yu Peng Liu 
supported in part by the National Natural Science Foundation of China(Grant no.61775198,62076222,61903342);Henan Province Science and technology research project(Grant no.222102210059,222102210266,212102310455)。
In this paper,the problem of combination projection synchronization of fractional-order complex dynamic networks with time-varying delay couplings and external interferences is studied.Firstly,the definition of combin...
关键词：fractional-order complex networks time-varying delay combination projection synchronization adaptive control 
Dust acoustic rogue waves of fractional-order model in dusty plasma被引量：1
《Communications in Theoretical Physics》2020年第12期1-17,共17页Jun-Chao Sun Zong-Guo Zhang Huan-He Dong Hong-Wei Yang 
supported by the National Natural Science Foundation of China(Grants 11975143)。
In this paper,the fractional-order model is used to study dust acoustic rogue waves in dusty plasma.Firstly,based on control equations,the multi-scale analysis and reduced perturbation method are used to derive the(3+...
关键词：time-fractional modified Kadomtsev–Petviashvili equation conservation laws dust acoustic rogue waves 
Sliding Mode Control of Fractional-Order Delayed Memristive Chaotic System with Uncertainty and Disturbance被引量：1
《Communications in Theoretical Physics》2017年第12期741-748,共8页丁大为 刘芳芳 陈辉 王年 梁栋 
Supported by the National Nature Science Foundation of China under Grant No.61201227;Funding of China Scholarship Council,the Natural Science Foundation of Anhui Province under Grant No.1208085M F93;211 Innovation Team of Anhui University under Grant Nos.KJTD007A and KJTD001B
In this paper, a simplest fractional-order delayed memristive chaotic system is proposed in order to control the chaos behaviors via sliding mode control strategy. Firstly, we design a sliding mode control strategy fo...
关键词：fractional-order system memristive system time delay sliding mode control stability theorem 
Finite-Time Stability for Fractional-Order Bidirectional Associative Memory Neural Networks with Time Delays被引量：1
《Communications in Theoretical Physics》2017年第2期137-142,共6页Chang-Jin Xu 
Supported by National Natural Science Foundation of China under Grant Nos.61673008,11261010,11101126;Project of High–Level Innovative Talents of Guizhou Province([2016]5651);Natural Science and Technology Foundation of Guizhou Province(J[2015]2025 and J[2015]2026);125 Special Major Science and Technology of Department of Education of Guizhou Province([2012]011);Natural Science Foundation of the Education Department of Guizhou Province(KY[2015]482)
This paper is concerned with fractional-order bidirectional associative memory(BAM) neural networks with time delays. Applying Laplace transform, the generalized Gronwall inequality and estimates of Mittag–Leffler fu...
关键词：BAM neural networks finite-time stability time delay Gronwall inequality 
Finite-Time Stability of Fractional-Order Neural Networks with Delay被引量：2
《Communications in Theoretical Physics》2013年第8期189-193,共5页吴然超 黑鑫东 陈立平 
Supported by the Specialized Research Fund for the Doctoral Program of Higher Education of China under Grant No.20093401120001;the Natural Science Foundation of Anhui Province under Grant No.11040606M12;the Natural Science Foundation of Anhui Education Bureau under Grant No.KJ2010A035;the 211 Project of Anhui University under Grant No.KJJQ1102
Finite-time stability of a class of fractional-order neural networks is investigated in this paper. By Laplace transform, the generalized Gronwa11 inequality and estimates of Mittag-Leffier functions, sufficient condi...
关键词：neural networks FRACTIONAL-ORDER finite-time stability Gronwall inequality 
Function Projective Synchronization of Fractional-Order Hyperchaotic System Based on Open-Plus-Closed-Looping
《Communications in Theoretical Physics》2011年第4期617-621,共5页王兴元 刘荣 张娜 
Supported by National Natural Science Foundation of China under Grant Nos.60573172,60973152;Doctoral Program Foundation of Institution of Higher Education of China under Grant No.20070141014;the Natural Science Foundation of Liaoning Province of China under Grant No.20082165
The purpose of this paper is to analyze the dynamic behavior of fractional-order four-order hyperchaotic Lii system, and use the Open-Plus-Closed-Looping （OPCL） coupling method to construct the system＇s correspondi...
关键词：HYPERCHAOTIC FPS OPCL FRACTIONAL-ORDER 
Exact Solutions of Fractional-Order Biological Population Model被引量：13
《Communications in Theoretical Physics》2009年第12期992-996,共5页A.M.A.El-Sayed S.Z.Rida A.A.M.Arafa 
In this paper, the Adomian＇s decomposition method （ADM） is presented for finding the exact solutions of a more general biological population models. A new solution is constructed in power series. The fractional der...
关键词：biological populations model fractional Calculus decomposition method Mittag-Leffier function 
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