FRACTIONAL-ORDER

作品数:273被引量:483H指数:10
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相关领域:理学更多>>
相关作者:谭超李特吴莹康艳梅更多>>
相关机构:西安交通大学三峡大学更多>>
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相关基金:国家自然科学基金国家教育部博士点基金中国博士后科学基金安徽省自然科学基金更多>>
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A fractional-order improved FitzHugh–Nagumo neuron model
《Chinese Physics B》2025年第1期519-528,共10页Pushpendra Kumar Vedat Suat Erturk 
We propose a fractional-order improved Fitz Hugh–Nagumo(FHN)neuron model in terms of a generalized Caputo fractional derivative.Following the existence of a unique solution for the proposed model,we derive the numeri...
关键词:FitzHugh-Nagumo neuron model generalized Caputo fractional derivative L1 predictor-corrector method STABILITY error estimation 
Compound learning adaptive neural network optimal backstepping control of uncertain fractional-order predator-prey systems
《International Journal of Biomathematics》2024年第8期91-122,共32页Heng Liu Mei Zhong Jinde Cao Chengdai Huang 
supported by the National Natural Science Foundation of China(12261009).
Reinforcement learning as an effective strategy is widely utilized in optimal control.However,when updating critic-actor weight vectors based on the square of Bellman residual,it often leads to substantial computation...
关键词:Fractional-order predator-prey system adaptive backstepping control compound learning optimal control reinforcement learning 
Distributed event-triggered formation control of UGV-UAV heterogeneous multi-agent systems for ground-air cooperation
《Chinese Journal of Aeronautics》2024年第12期458-483,共26页Hao XIONG Hongbin DENG Chaoyang LIU Junqi WU 
supported by the Beijing Municipal Science&Technology Commission China(No.Z19111000270000);the National Natural Science Foundation of China(Nos.62203050,51774042).
Within the context of ground-air cooperation,the distributed formation trajectory tracking control problems for the Heterogeneous Multi-Agent Systems(HMASs)is studied.First,considering external disturbances and model ...
关键词:Distributed formation control Event-triggered control Heterogeneous multi-agent systems Fractional-order sliding mode control Feedback multilayer fuzzy neural network 
A fractional-order chaotic Lorenz-based chemical system:Dynamic investigation,complexity analysis,chaos synchronization,and its application to secure communication
《Chinese Physics B》2024年第12期223-235,共13页Haneche Nabil Hamaizia Tayeb 
Synchronization of fractional-order chaotic systems is receiving significant attention in the literature due to its applications in a variety of fields,including cryptography,optics,and secure communications.In this p...
关键词:chaotic system Adomian decomposition method modified projective synchronization secure communication 
Dynamical analysis,control,boundedness,and prediction for a fractional-order financial risk system
《Chinese Physics B》2024年第11期223-235,共13页Kehao Yang Song Zheng Tianhu Yu Aceng Sambas Muhamad Deni Johansyah Hassan Saberi-Nik Mohamad Afendee Mohamed 
Project jointly supported by the National Natural Science Foundation of China(Grant No.12372013);Program for Science and Technology Innovation Talents in Universities of Henan Province,China(Grant No.24HASTIT034);the Natural Science Foundation of Henan Province,China(Grant No.232300420122);the Humanities and Society Science Foundation from the Ministry of Education of China(Grant No.19YJCZH265);China Postdoctoral Science Foundation(Grant No.2019M651633);First Class Discipline of Zhejiang-A(Zhejiang University of Finance and Economics Statistics),the Collaborative Innovation Center for Data Science and Big Data Analysis(Zhejiang University of Finance and Economics-Statistics).
This paper delves into the dynamical analysis,chaos control,Mittag–Leffler boundedness(MLB),and forecasting a fractional-order financial risk(FOFR)system through an absolute function term.To this end,the FOFR system ...
关键词:FOFR system dynamical analysis CONTROL BOUNDEDNESS forecasting 
Fractional-order Virtual Inertia Control and Parameter Tuning for Energy-storage System in Low-inertia Power Grid被引量:1
《Protection and Control of Modern Power Systems》2024年第5期70-83,共14页Yukai Zeng Qiufan Yang Yujun Lin Yin Chen Xia Chen Jinyu Wen 
supported by the Science and Technology Project of State Grid Corporation of China(No.5419-202199551A-0-5-ZN);the Joint Funds of the National Natural Science Foundation of China(No.U22A6007);the National Excellent Youth Science Fund Project of National Natural Science Foundation of China(No.52222703).
As conventional synchronous generators are replaced by large-scale converter-interfaced renewa-ble-energy sources(RESs),the electric power grid en-counters the challenge of low rotational inertia.Conse-quently,system ...
关键词:Virtual inertia control frequency regulation fractional-order controller stability region parameter tuning 
Numerical Simulation and Parameter Estimation of Fractional-Order Dynamic Epidemic Model for COVID-19
《Journal of Applied Mathematics and Physics》2024年第10期3469-3495,共27页Rong Kang Tianzeng Li 
The outbreak of COVID-19 in 2019 resulted in numerous infections and deaths. In order to better study the transmission of COVID-19, this article adopts an improved fractional-order SIR model. Firstly, the properties o...
关键词:Parameter Estimation COVID-19 Infectious Disease Model Fractional-Order Derivative 
A unique computational investigation of the exact traveling wave solutions for the fractional-order Kaup-Boussinesq and generalized Hirota Satsuma coupled KdV systems arising from water waves and interaction of long waves
《Journal of Ocean Engineering and Science》2024年第5期437-453,共17页Xiaofeng Wang Xiao-Guang Yue Mohammed K.A.Kaabar Arzu Akbulut Melike Kaplan 
A novel technique,named auxiliary equation method,is applied in this research work for obtaining new traveling wave solutions for two interesting proposed systems:the Kaup-Boussinesq system and generalized Hirota-Sats...
关键词:Symbolic computation Fractional differential equations Beta derivative Auxiliary equation method Solitary solutions Nonlinear equations 
Tight focusing of fractional-order topological charge vector beams by cascading metamaterials and metalens
《Microsystems & Nanoengineering》2024年第5期417-433,共17页Lan Ke Yunyun Yang Mingmin Zhu Haomiao Zhou Yi Chen Ying Tian Chenxia Li Bo Fang Zhi Hong Xufeng Jing 
This work was supported by the Science and technology innovation leading talent project of special support plan for high-level talents in Zhejiang Province(2021R52032).
Vector beams have attracted widespread attention because of their unique optical properties;in particular,their combination with tight focusing can produce many interesting phenomena.The rise of 3D printing technology...
关键词:TOPOLOGICAL fractional PROOF 
Novel Model of Proton Exchange Membrane Fuel Cell with Predictive Control Using Hildreth Algorithm Based on Fractional-order Dynamic Model
《China Petroleum Processing & Petrochemical Technology》2024年第3期122-135,共14页Chu Kaihui Qi Zhidong Qin Hao Shan Liang 
This work was supported in part by National Natural Science Foundation of China grant No.61374153 and grant No.52377209;in part by“Postgraduate Research&Practice Innovation Program of Jiangsu Province”(grant No.SJCX23_0132).
Considering the multivariable and fractional-order characteristics of proton exchange membrane fuel cells(PEMFCs),a fractional-order subspace identification method(FOSIM)is proposed in this paper to establish a fracti...
关键词:PEMFC fractional-order subspace identification method fractional-order state space H-MPC 
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