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Improvement of image processing by using homogeneous neural networks with fractional derivatives theorem
1.  University of Rzeszow, Institute of Technology, 35959 Rzeszow, 16A Rejtana Str. 
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King Hann Lim, Hong Hui Tan, Hendra G. Harno. Approximate greatest descent in neural network optimization. Numerical Algebra, Control & Optimization, 2018, 8 (3) : 327336. doi: 10.3934/naco.2018021 
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ShyanShiou Chen, ChihWen Shih. Asymptotic behaviors in a transiently chaotic neural network. Discrete & Continuous Dynamical Systems  A, 2004, 10 (3) : 805826. doi: 10.3934/dcds.2004.10.805 
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Rui Hu, Yuan Yuan. Stability, bifurcation analysis in a neural network model with delay and diffusion. Conference Publications, 2009, 2009 (Special) : 367376. doi: 10.3934/proc.2009.2009.367 
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HuiQiang Ma, NanJing Huang. Neural network smoothing approximation method for stochastic variational inequality problems. Journal of Industrial & Management Optimization, 2015, 11 (2) : 645660. doi: 10.3934/jimo.2015.11.645 
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K. L. Mak, J. G. Peng, Z. B. Xu, K. F. C. Yiu. A novel neural network for associative memory via dynamical systems. Discrete & Continuous Dynamical Systems  B, 2006, 6 (3) : 573590. doi: 10.3934/dcdsb.2006.6.573 
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Honggang Yu. An efficient face recognition algorithm using the improved convolutional neural network. Discrete & Continuous Dynamical Systems  S, 2019, 12 (4&5) : 901914. doi: 10.3934/dcdss.2019060 
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Lidong Liu, Fajie Wei, Shenghan Zhou. Major project risk assessment method based on BP neural network. Discrete & Continuous Dynamical Systems  S, 2019, 12 (4&5) : 10531064. doi: 10.3934/dcdss.2019072 
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Christina A. Hollon, Jeffrey T. Neugebauer. Positive solutions of a fractional boundary value problem with a fractional derivative boundary condition. Conference Publications, 2015, 2015 (special) : 615620. doi: 10.3934/proc.2015.0615 
[16] 
Zhuwei Qin, Fuxun Yu, Chenchen Liu, Xiang Chen. How convolutional neural networks see the world  A survey of convolutional neural network visualization methods. Mathematical Foundations of Computing, 2018, 1 (2) : 149180. doi: 10.3934/mfc.2018008 
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Ekta Mittal, Sunil Joshi. Note on a $ k $generalised fractional derivative. Discrete & Continuous Dynamical Systems  S, 2018, 0 (0) : 797804. doi: 10.3934/dcdss.2020045 
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Saif Ullah, Muhammad Altaf Khan, Muhammad Farooq, Zakia Hammouch, Dumitru Baleanu. A fractional model for the dynamics of tuberculosis infection using CaputoFabrizio derivative. Discrete & Continuous Dynamical Systems  S, 2018, 0 (0) : 975993. doi: 10.3934/dcdss.2020057 
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Saif Ullah, Muhammad Altaf Khan, Muhammad Farooq, Ebraheem O. Alzahrani. A fractional model for the dynamics of tuberculosis (TB) using AtanganaBaleanu derivative. Discrete & Continuous Dynamical Systems  S, 2018, 0 (0) : 937956. doi: 10.3934/dcdss.2020055 
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Fang Han, Bin Zhen, Ying Du, Yanhong Zheng, Marian Wiercigroch. Global Hopf bifurcation analysis of a sixdimensional FitzHughNagumo neural network with delay by a synchronized scheme. Discrete & Continuous Dynamical Systems  B, 2011, 16 (2) : 457474. doi: 10.3934/dcdsb.2011.16.457 
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