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作者:Nadica Miljković , Nenad Popović , Olivera Djordjević ...
来源:[J].Computer Methods and Programs in Biomedicine(IF 1.555), 2017, Vol.140, pp.259-264Elsevier
摘要:Abstract(#br)Background and objective(#br)New aspects for automatic electrocardiography artifact removal from surface electromyography signals by application of fractional order calculus in combination with linear and nonlinear moving window filters are explored. Surface electrom...
作者:A. Dzieliński , D. Sierociuk , G. Sarwas
来源:[J].Bulletin of the Polish Academy of Sciences: Technical Sciences(IF 0.98), 2010, Vol.58 (4), pp.583-592De Gruyter
摘要:Some applications of fractional order calculus This paper presents some recent results in the area of application of fractional order system models. After the introduction to the dynamic systems modelling with the fractional order calculus the paper concentrates on the possibilit...
作者:Sebastian Bickelhaupt , Franziska Steudle , Daniel Paech ...
来源:[J].PLoS ONE(IF 3.73), 2017, Vol.12 (4)DOAJ
摘要:To evaluate a fractional order calculus (FROC) model in diffusion weighted imaging to differentiate between malignant and benign breast lesions in breast cancer screening work-up using recently introduced parameters (βFROC, DFROC and μFROC).This retrospective analysis withi...
作者:Ricardo Enrique Gutiérrez , João Maurício Rosário , José Tenreiro Machado
来源:[J].Mathematical Problems in Engineering(IF 1.383), 2010, Vol.2010DOAJ
摘要:The fractional order calculus (FOC) is as old as the integer one although up to recently its application was exclusively in mathematics. Many real systems are better described with FOC differential equations as it is a well-suited tool to analyze problems of fractal dimension, w...
作者:Ricardo Enrique Gutiérrez , João Maurício Rosário , José Tenreiro Machado
来源:[J].Mathematical Problems in Engineering(IF 1.383), 2010, Vol.2010DOAJ
摘要:The fractional order calculus (FOC) is as old as the integer onealthough up to recently its application was exclusively in mathematics.Many real systems are better described with FOC differential equationsas it is a well-suited tool to analyze problems of fractal dimension,with ...
作者:Xiaohong Joe Zhou , Qing Gao , Osama Abdullah ...
来源:[J].Magnetic Resonance in Medicine(IF 3.267), 2010, Vol.63 (3), pp.562-569Wiley
摘要:... Recently, a new diffusion model was proposed by solving the Bloch‐Torrey equation using fractional order calculus with respect to time and space (Magin et al., J Magn Reson 2008;190:255‐270; Zhou et al., Proc Int'l Soc Magn Reson Med 2008). Using a spatial Laplacian ∇...
作者:YOUCEF FERDI
来源:[J].Journal of Mechanics in Medicine and Biology(IF 0.758), 2012, Vol.12 (2)World Scientific Publishing
摘要:The goal of this paper is to describe some applications of fractional order calculus to biomedical signal processing with emphasis on the ability of this mathematical tool to remove noise, enhance useful information, and generate fractal signals. Three types of digital filters a...
作者:Songsong Cheng , Yiheng Wei , Yuquan Chen ...
来源:[J].Signal Processing(IF 1.851), 2017, Vol.133, pp.260-269Elsevier
摘要:Abstract(#br)This article presents a novel fractional order LMS (FOLMS) algorithm, which involves a variable gradient order scheme. The fractional order gradient descent method is revisited firstly. A variable initial value scheme is proposed to attenuate the non–locality of fractional order calculus...
作者:Xiaoqin Zhou , Zhiwei Zhu
来源:[J].Materials(IF 2.247), 2012, Vol.5 (12), pp.2465-2485DOAJ
摘要:... A linearized hysteresis force model is proposed and mathematically described by a fractional order differential equation. Combining the dynamic modeling of the FTS mechanism, a linearized fractional order dynamic hysteresis (LFDH) model for the piezoelectrically actuated FTS ...
作者:Qin Zou , Qibing Jin , Ridong Zhang
来源:[J].Chemometrics and Intelligent Laboratory Systems(IF 2.291), 2016, Vol.152, pp.34-41Elsevier
摘要:Abstract(#br)Many phenomena in practical processes cannot be accurately described by conventional differential equations, while fractional order differential equations can describe the characteristics of such processes more accurately. In this paper, the fractional order pred...

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