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Existence of solutions for fractional impulsive neutral functional differential equations with infinite delay

JOURNAL ARTICLE published December 2013 in Neurocomputing

Authors: Jiawu Liao | Fulai Chen | Sanqing Hu

Global attractiveness and quasi-invariant sets of impulsive neutral stochastic functional differential equations driven by fBm

JOURNAL ARTICLE published February 2016 in Neurocomputing

Research funded by NNSF of China (11271093)

Authors: Zhi Li

Learning solutions to partial differential equations using LS-SVM

JOURNAL ARTICLE published July 2015 in Neurocomputing

Research funded by FP7/2007-2013 (European Research Council) | ERC AdG A-DATADRIVE-B (290923) | Research Council KUL (GOA/10/09 MaNet,CoE PFV/10/002 (OPTEC),BIL12/11T) | Flemish Government (G.0377.12,G.088114N) | SBO POM (100031) | iMinds Medical Information Technologies (SBO 2014) | Belgian Federal Science Policy Office (IUAP P7/19)

Authors: Siamak Mehrkanoon | Johan A.K. Suykens

Extreme theory of functional connections: A fast physics-informed neural network method for solving ordinary and partial differential equations

JOURNAL ARTICLE published October 2021 in Neurocomputing

Research funded by NASA Science Mission Directorate (80NSSC19K1149,80NSSC19K1152)

Authors: Enrico Schiassi | Roberto Furfaro | Carl Leake | Mario De Florio | Hunter Johnston | Daniele Mortari

Existence of periodic solutions for a class of Cohen–Grossberg type neural networks with neutral delays

JOURNAL ARTICLE published February 2011 in Neurocomputing

Authors: S. Mandal | N.C. Majee

Existence and exponential stability of piecewise pseudo almost periodic solution of neutral-type inertial neural networks with mixed delay and impulsive perturbations

JOURNAL ARTICLE published September 2019 in Neurocomputing

Authors: Chaouki Aouiti | El Abed Assali | Imen Ben Gharbia | Youssef El Foutayeni

Novel Existence and Stability Criteria of Periodic Solutions for Impulsive Delayed Neural Networks Via Coefficient Integral Averages

JOURNAL ARTICLE published December 2016 in Neurocomputing

Research funded by National Natural Science Foundation of China (61372139,61503175,61374078,61571372) | New Century Excellent Talents in University ([2013]47) | Central Universities (XDJK2016A001,XDJK2014A009) | High School Key Scientific Research Project of Henan Province (15A120013) | NPRP (4-1162-1-181)

Authors: Huamin Wang | Shukai Duan | Tingwen Huang | Chuandong Li | Lidan Wang

Neural network method for fractional-order partial differential equations

JOURNAL ARTICLE published November 2020 in Neurocomputing

Authors: Haidong Qu | Xuan Liu | Zihang She

Stochastic mixed impulsive control and stability for stochastic functional differential systems with semi-Markov jump

JOURNAL ARTICLE published May 2023 in Neurocomputing

Research funded by Natural Science Foundation of Shandong Province (ZR2021MA065,ZR2021MF016)

Authors: Ning Zhang | Huiyu Chen | Wenxue Li

Global stability problem for feedback control systems of impulsive fractional differential equations on networks

JOURNAL ARTICLE published August 2015 in Neurocomputing

Research funded by National Natural Science Foundation of China (11371287,11472238,61273106,61379064) | International Science and Technology Cooperation Program of China (2010DFA14700) | Natural Science Foundation of Xinjiang (2013211B06) | China Postdoctoral Science Foundation (2013M540782,2014T70953) | Natural Science Foundation of Xinjiang University (BS120101) | Specialized Research Fund for the Doctoral Program of Higher Education (20136501120001)

Authors: Hong-Li Li | Yao-Lin Jiang | Zuo-Lei Wang | Cheng Hu

A fast alternating time-splitting approach for learning partial differential equations

JOURNAL ARTICLE published April 2016 in Neurocomputing

Research funded by NSF China (61473302) | National Basic Research Program of China (973 Program) (2015CB352502) | National Natural Science Foundation (NSF) of China (61272341,61231002)

Authors: Zhenyu Zhao | Zhouchen Lin | Yi Wu

A constrained integration (CINT) approach to solving partial differential equations using artificial neural networks

JOURNAL ARTICLE published May 2015 in Neurocomputing

Research funded by National Science Foundation under ECCS (0823945)

Authors: Keith Rudd | Silvia Ferrari

A unified deep artificial neural network approach to partial differential equations in complex geometries

JOURNAL ARTICLE published November 2018 in Neurocomputing

Authors: Jens Berg | Kaj Nyström

Distributed learning machines for solving forward and inverse problems in partial differential equations

JOURNAL ARTICLE published January 2021 in Neurocomputing

Authors: Vikas Dwivedi | Nishant Parashar | Balaji Srinivasan

GCN-FFNN: A two-stream deep model for learning solution to partial differential equations

JOURNAL ARTICLE published October 2022 in Neurocomputing

Authors: Onur Bilgin | Thomas Vergutz | Siamak Mehrkanoon

A wavelet multiscale iterative regularization method for the parameter estimation problems of partial differential equations

JOURNAL ARTICLE published March 2013 in Neurocomputing

Authors: Hongsun Fu | Bo Han | Hongbo Liu

Physics Informed Extreme Learning Machine (PIELM)–A rapid method for the numerical solution of partial differential equations

JOURNAL ARTICLE published May 2020 in Neurocomputing

Authors: Vikas Dwivedi | Balaji Srinivasan

A CNN-based approach for a class of non-standard hyperbolic partial differential equations modeling distributed parameters (nonlinear) control systems

JOURNAL ARTICLE published September 2015 in Neurocomputing

Research funded by internal grant competition of the University of Craiova (10C/2014)

Authors: Daniela Danciu

Multiple periodic solutions of delayed competitive neural networks via functional differential inclusions

JOURNAL ARTICLE published November 2015 in Neurocomputing

Research funded by National Natural Science Foundation of China (11371127,11401228) | Natural Science Foundation of Fujian Province (2015J01584) | Promotion Program for Young and Middle-aged Teacher in Science and Technology Research of Huaqiao University (ZQN-PY201)

Authors: Dongshu Wang | Daozhong Luo

A robust hybrid method for text detection in natural scenes by learning-based partial differential equations

JOURNAL ARTICLE published November 2015 in Neurocomputing

Research funded by National Natural Science Foundation of China (61473302) | National Basic Research Program of China (2015CB352502,61272341,61231002)

Authors: Zhenyu Zhao | Cong Fang | Zhouchen Lin | Yi Wu