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Jocelyn Sabatier and Christophe Farges
This paper proposes algorithms to model fractional (dynamical) behaviors using non-singular rational kernels whose interest is first demonstrated on a pure power law function. Two algorithms are then proposed to find a non-singular rational kernel that a...
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Xuan Zhou, Yang Zheng, Bo Xu, Wushuang Liu, Yidong Zou and Jinbao Chen
Speed governing control is significant in ensuring the stable operation of pumped storage units. In this study, a state-space equation mathematical model of the pumped storage governing system considering the complex hydraulic pipeline structure of the p...
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Yeshou Xu, Qi He, Ying-Qing Guo, Xing-Huai Huang, Yao-Rong Dong, Zhong-Wei Hu and Jinkoo Kim
Viscoelastic dampers are conventional passive vibration control devices with excellent energy dissipation performance. The fractional derivative has a simple form and high accuracy in the modelling of viscoelastic materials/dampers. The internal variable...
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Onder Tutsoy and Ceyda Tanrikulu
The most important underlying reasons for marketing failures are incomplete understanding of customer wants and needs and the inability to accurately predict their future behaviors. This study develops a machine learning model to estimate the number of d...
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Anna Suzuki, Sergei Fomin, Vladimir Chugunov and Toshiyuki Hashida
Deep geological repositories for nuclear wastes consist of both engineered and natural geologic barriers to isolate the radioactive material from the human environment. Inappropriate repositories of nuclear waste would cause severe contamination to nearb...
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Zilong Deng, Xiangdong Liu, Yongping Huang, Chengbin Zhang and Yongping Chen
Fractal geometry (fractional Brownian motion?FBM) is introduced to characterize the pore distribution of porous material. Based on this fractal characterization, a mathematical model of heat conduction is presented to study heat conduction behaviors in p...
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