A closed form expression for the Gaussian-based Caputo-Fabrizio fractional derivative for signal processing applications
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Arturo Garcia-Perez | Juan Gabriel Aviña-Cervantes | Carlos Rodrigo Correa-Cely | Jorge Mario Cruz-Duarte | J. M. Cruz-Duarte | J. Juan Rosales-García | J. Rosales‐García | A. García-Perez | J. Aviña-Cervantes | C. R. Correa-Cely
[1] Lihua Li,et al. Non-Causal Fractional Low-Pass Filter Based Medical Image Denoising , 2016 .
[2] M. Caputo,et al. A new Definition of Fractional Derivative without Singular Kernel , 2015 .
[3] J. Rosales,et al. RLC electrical circuit of non-integer order , 2013 .
[4] M. Sabarimalai Manikandan,et al. Wavelet-based electrocardiogram signal compression methods and their performances: A prospective review , 2014, Biomed. Signal Process. Control..
[5] S. Westerlund,et al. Capacitor theory , 1994 .
[6] Hamid A. Jalab,et al. Image denoising algorithms based on fractional sincα with the covariance of fractional Gaussian fields , 2016 .
[7] Tarun Kumar Rawat,et al. Optimal design of FIR fractional order differentiator using cuckoo search algorithm , 2015, Expert Syst. Appl..
[8] Faton Merovci,et al. Transmuted Rayleigh Distribution , 2016 .
[9] Manuel Duarte Ortigueira,et al. Fractional Calculus for Scientists and Engineers , 2011, Lecture Notes in Electrical Engineering.
[10] Hui Wang,et al. An active contour model and its algorithms with local and global Gaussian distribution fitting energies , 2014, Inf. Sci..
[11] Piotr Tokarczyk,et al. Features, Color Spaces, and Boosting: New Insights on Semantic Classification of Remote Sensing Images , 2015, IEEE Transactions on Geoscience and Remote Sensing.
[12] R. Herrmann. Fractional Calculus: An Introduction for Physicists , 2011 .
[13] Hongliang Liu,et al. Convergence Analysis of Variational Iteration Method for Caputo Fractional Differential Equations , 2012, AsiaSim.
[14] I. Podlubny,et al. Modelling heat transfer in heterogeneous media using fractional calculus , 2013, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences.
[15] Max A. Viergever,et al. Ridge-based vessel segmentation in color images of the retina , 2004, IEEE Transactions on Medical Imaging.
[16] Anatoly N. Kochubei,et al. General Fractional Calculus, Evolution Equations, and Renewal Processes , 2011, 1105.1239.
[17] Sébastien Ourselin,et al. Using fractional gradient information in non-rigid image registration: application to breast MRI , 2012, Medical Imaging.
[18] R. Magin. Fractional Calculus in Bioengineering , 2006 .
[19] Sanli Yi,et al. Ultrasound speckle reduction based on fractional order differentiation , 2015, 2015 8th International Conference on Biomedical Engineering and Informatics (BMEI).
[20] Hiroshi Toda,et al. A new type of orthonormal wavelet basis having customizable frequency bands , 2015, 2015 International Conference on Wavelet Analysis and Pattern Recognition (ICWAPR).
[21] Gauss M. Cordeiro,et al. The beta generalized Rayleigh distribution with applications to lifetime data , 2013 .
[22] Abdon Atangana,et al. Numerical approximation of the space-time Caputo-Fabrizio fractional derivative and application to groundwater pollution equation , 2016, Advances in Difference Equations.
[23] M. Sababheh,et al. A new definition of fractional derivative , 2014, J. Comput. Appl. Math..
[24] Hamid A. Jalab,et al. Texture Enhancement for Medical Images Based on Fractional Differential Masks , 2013 .
[25] G.B. Moody,et al. The impact of the MIT-BIH Arrhythmia Database , 2001, IEEE Engineering in Medicine and Biology Magazine.
[26] F. Mainardi,et al. The fundamental solution of the space-time fractional diffusion equation , 2007, cond-mat/0702419.
[27] Jerzy Klamka,et al. Theory and Applications of Non-integer Order Systems , 2017 .
[28] S. Arabia,et al. Properties of a New Fractional Derivative without Singular Kernel , 2015 .
[29] R. F. Escobar-Jiménez,et al. Electrical circuits described by a fractional derivative with regular Kernel , 2016 .
[30] A. Atangana,et al. New Fractional Derivatives with Nonlocal and Non-Singular Kernel: Theory and Application to Heat Transfer Model , 2016, 1602.03408.
[31] Jung Me Park,et al. Edge Detection in Grayscale, Color, and Range Images , 2008, Wiley Encyclopedia of Computer Science and Engineering.
[32] Sanjay Kumar,et al. Fractional Fourier Transform and Fractional-Order Calculus-Based Image Edge Detection , 2017, Circuits Syst. Signal Process..
[33] F. Alet,et al. Many-body localization edge in the random-field Heisenberg chain , 2014, 1411.0660.
[34] Niels Henrik Abel,et al. Résolution d'un problème de mécanique , 2012 .
[35] Yaonan Wang,et al. Multiscale Bi-Gaussian Filter for Adjacent Curvilinear Structures Detection With Application to Vasculature Images , 2013, IEEE Transactions on Image Processing.
[36] Yi-Fei Pu,et al. Fractional Differential Mask: A Fractional Differential-Based Approach for Multiscale Texture Enhancement , 2010, IEEE Transactions on Image Processing.
[37] Yangquan Chen,et al. Fractional calculus in image processing: a review , 2016, ArXiv.
[38] Patrick S. K. Chua,et al. Adaptive wavelet transform for vibration signal modelling and application in fault diagnosis of water hydraulic motor , 2006 .
[39] W. Gander,et al. Adaptive Quadrature—Revisited , 2000 .
[40] Jeffrey M. Hausdorff,et al. Physionet: Components of a New Research Resource for Complex Physiologic Signals". Circu-lation Vol , 2000 .
[41] J. Rosales,et al. Two dimensional fractional projectile motion in a resisting medium , 2014 .
[42] Jerzy Baranowski,et al. Early-Stage Pilot Study on Using Fractional-Order Calculus-Based Filtering for the Purpose of Analysis of Electroencephalography Signals , 2016 .
[43] Damian Słota,et al. Reconstruction Robin Boundary Condition in the Heat Conduction Inverse Problem of Fractional Order , 2017 .
[44] Stephen M. Moore,et al. The Cancer Imaging Archive (TCIA): Maintaining and Operating a Public Information Repository , 2013, Journal of Digital Imaging.
[45] M. Caputo,et al. A new dissipation model based on memory mechanism , 1971 .
[46] Saudi Arabia,et al. MOTION OF A PARTICLE IN A RESISTING MEDIUM USING FRACTIONAL CALCULUS APPROACH , 2013 .
[47] Thabet Abdeljawad,et al. On conformable fractional calculus , 2015, J. Comput. Appl. Math..
[48] Fulei Chu,et al. Recent advances in time–frequency analysis methods for machinery fault diagnosis: A review with application examples , 2013 .
[49] Jordan Hristov,et al. Transient heat diffusion with a non-singular fading memory: From the Cattaneo constitutive equation with Jeffrey’s Kernel to the Caputo-Fabrizio time-fractional derivative , 2016 .