
Previous Article
$L^1$ maximal regularity for the laplacian and applications
 PROC Home
 This Issue

Next Article
Uniqueness and parameter dependence of positive solutions of third order boundary value problems with $p$laplacian
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. 
[1] 
Fangfang Dong, Yunmei Chen. A fractionalorder derivative based variational framework for image denoising. Inverse Problems & Imaging, 2016, 10 (1) : 2750. doi: 10.3934/ipi.2016.10.27 
[2] 
Jianfeng Feng, Mariya Shcherbina, Brunello Tirozzi. Stability of the dynamics of an asymmetric neural network. Communications on Pure & Applied Analysis, 2009, 8 (2) : 655671. doi: 10.3934/cpaa.2009.8.655 
[3] 
Ying Sue Huang, Chai Wah Wu. Stability of cellular neural network with small delays. Conference Publications, 2005, 2005 (Special) : 420426. doi: 10.3934/proc.2005.2005.420 
[4] 
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 
[5] 
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 
[6] 
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 
[7] 
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 
[8] 
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 
[9] 
Yixin Guo, Aijun Zhang. Existence and nonexistence of traveling pulses in a lateral inhibition neural network. Discrete & Continuous Dynamical Systems  B, 2016, 21 (6) : 17291755. doi: 10.3934/dcdsb.2016020 
[10] 
Jianhong Wu, Ruyuan Zhang. A simple delayed neural network with large capacity for associative memory. Discrete & Continuous Dynamical Systems  B, 2004, 4 (3) : 851863. doi: 10.3934/dcdsb.2004.4.851 
[11] 
Sanjay K. Mazumdar, ChengChew Lim. A neural network based antiskid brake system. Discrete & Continuous Dynamical Systems  A, 1999, 5 (2) : 321338. doi: 10.3934/dcds.1999.5.321 
[12] 
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 
[13] 
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 
[14] 
Chun Wang, TianZhou Xu. Stability of the nonlinear fractional differential equations with the rightsided RiemannLiouville fractional derivative. Discrete & Continuous Dynamical Systems  S, 2017, 10 (3) : 505521. doi: 10.3934/dcdss.2017025 
[15] 
Ilknur Koca. Numerical analysis of coupled fractional differential equations with AtanganaBaleanu fractional derivative. Discrete & Continuous Dynamical Systems  S, 2019, 12 (3) : 475486. doi: 10.3934/dcdss.2019031 
[16] 
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 
[17] 
Fengqiu Liu, Xiaoping Xue. Subgradientbased neural network for nonconvex optimization problems in support vector machines with indefinite kernels. Journal of Industrial & Management Optimization, 2016, 12 (1) : 285301. doi: 10.3934/jimo.2016.12.285 
[18] 
Boguslaw Twarog, Robert Pekala, Jacek Bartman, Zbigniew Gomolka. The changes of air gap in inductive engines as vibration indicator aided by mathematical model and artificial neural network. Conference Publications, 2007, 2007 (Special) : 10051012. doi: 10.3934/proc.2007.2007.1005 
[19] 
Dariusz Idczak, Rafał Kamocki. Existence of optimal solutions to lagrange problem for a fractional nonlinear control system with riemannliouville derivative. Mathematical Control & Related Fields, 2017, 7 (3) : 449464. doi: 10.3934/mcrf.2017016 
[20] 
Kolade M. Owolabi, Abdon Atangana. Highorder solvers for spacefractional differential equations with Riesz derivative. Discrete & Continuous Dynamical Systems  S, 2019, 12 (3) : 567590. doi: 10.3934/dcdss.2019037 
Impact Factor:
Tools
Metrics
Other articles
by authors
[Back to Top]