Feng Gao

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All published works

Action	Title	Year	Authors
+	Recent advances in neural network methods for FDE and its application	2022	Feng Gao Wenying Feng Xinguang Zhang Fudong Ge
+	General Fractional Calculus with Nonsingular Kernels: New Prospective on Viscoelasticity	2021	Xiao‐Jun Yang Feng Gao Yang Ju
+	Solving FDE by trigonometric neural network and its applications in simulating fractional HIV model and fractional Schrodinger equation	2021	Feng Gao Chunmei Chi
+ PDF Chat	Solving Fractional Differential Equations by Using Triangle Neural Network	2021	Feng Gao Yumin Dong Chunmei Chi
+ PDF Chat	Improvement on Conformable Fractional Derivative and Its Applications in Fractional Differential Equations	2020	Feng Gao Chunmei Chi
+ PDF Chat	Pade Method for Construction of Numerical Algorithms for Fractional Initial Value Problem	2020	Feng Gao Chunmei Chi
+	Variable-order general fractional derivatives with nonsingular kernels	2020	Xiao‐Jun Yang Feng Gao Yang Ju
+	Applications of fractional-order viscoelastic models	2020	Xiao‐Jun Yang Feng Gao Yang Ju
+	Variable-order fractional derivatives with singular kernels	2020	Xiao‐Jun Yang Feng Gao Yang Ju
+	Fractional derivatives with nonsingular kernels	2020	Xiao‐Jun Yang Feng Gao Yang Ju
+	Fractional derivatives with singular kernels	2020	Xiao‐Jun Yang Feng Gao Yang Ju
+	EXACT TRAVELING-WAVE SOLUTIONS FOR ONE-DIMENSIONAL MODIFIED KORTEWEG–DE VRIES EQUATION DEFINED ON CANTOR SETS	2019	Feng Gao Xiao‐Jun Yang Yang Ju
+ PDF Chat	An analytical solution for solving a new wave equation within Lorenzo-Hartley kernel	2019	Feng Gao
+	Fundamental solutions of the general fractional‐order diffusion equations	2018	Xiao‐Jun Yang Feng Gao Yang Ju Hong Zhou
+	Exact Travelling Wave Solutions for Local Fractional Partial Differential Equations in Mathematical Physics	2018	Xiao‐Jun Yang Feng Gao J. A. Tenreiro Machado Dumitru Băleanu
+ PDF Chat	Anomalous Advection-Dispersion Equations within General Fractional-Order Derivatives: Models and Series Solutions	2018	Xin Liang Yugui Yang Feng Gao Xiao‐Jun Yang Yi Xue
+ PDF Chat	An anomalous diffusion model based on a new general fractional operator with the Mittag-Leffler function of Wiman type	2018	Xin Liang Feng Gao Chunbo Zhou Zhen Wang Xiao‐Jun Yang
+ PDF Chat	A new fractional derivative involving the normalized sinc function without singular kernel	2017	Xiao‐Jun Yang Feng Gao J. A. Tenreiro Machado Dumitru Băleanu
+	A new computational approach for solving nonlinear local fractional PDEs	2017	Xiao‐Jun Yang Feng Gao H. M. Srivastava
+ PDF Chat	NON-DIFFERENTIABLE EXACT SOLUTIONS FOR THE NONLINEAR ODES DEFINED ON FRACTAL SETS	2017	Xiao‐Jun Yang Feng Gao H. M. Srivástava
+ PDF Chat	Applications of a novel integral transform to partial differential equations	2017	Xin Liang Feng Gao Yanan Gao Xiao‐Jun Yang
+	Improving Object Detection with Region Similarity Learning	2017	Feng Gao Yihang Lou Yan Bai Shiqi Wang Tiejun Huang Ling‐Yu Duan
+ PDF Chat	Exact traveling wave solutions for a new nonlinear heat transfer equation	2017	Feng Gao Xiao‐Jun Yang Yufeng Zhang
+ PDF Chat	On linear viscoelasticity within general fractional derivatives without singular kernel	2017	Feng Gao Xiao‐Jun Yang Syed Tauseef Mohyud‐Din
+ PDF Chat	General fractional calculus in non-singular power-law kernel applied to model anomalous diffusion phenomena in heat transfer problems	2017	Feng Gao
+ PDF Chat	A coupling method involving the Sumudu transform and the variational iteration method for a class of local fractional diffusion equations	2016	Feng Gao H. M. Srivastava Yanan Gao Xiao‐Jun Yang
+	Exact travelling wave solutions for the local fractional two-dimensional Burgers-type equations	2016	Xiao‐Jun Yang Feng Gao H. M. Srivastava
+	On a fractal LC-electric circuit modeled by local fractional calculus	2016	Xiao‐Jun Yang J. A. Tenreiro Machado Carlo Cattani Feng Gao
+ PDF Chat	A new numerical technique for local fractional diffusion equation in fractal heat transfer	2016	Xiao‐Jun Yang J. A. Tenreiro Machado Dumitru Băleanu Feng Gao
+ PDF Chat	A new technology for solving diffusion and heat equations	2016	Xiao‐Jun Yang Feng Gao
+ PDF Chat	Fractional Maxwell fluid with fractional derivative without singular kernel	2016	Feng Gao Xiao‐Jun Yang
+ PDF Chat	Local fractional Euler’s method for the steady heat-conduction problem	2016	Feng Gao Xiao‐Jun Yang
+	Numerical solution of nonlinear Burgers’ equation using high accuracy multi-quadric quasi-interpolation	2014	Feng Gao Chunmei Chi
+	Simulating Fractional Derivatives Using Matlab	2013	Chunmei Chi Feng Gao
+	A Cauchy Problem for Some Local Fractional Abstract Differential Equation with Fractal Conditions	2013	Xiao‐Jun Yang Zhong Wei-ping Feng Gao
+	Fundamentals of Local Fractional Iteration of the Continuously Nondifferentiable Functions Derived from Local Fractional Calculus	2011	Xiao‐Jun Yang Feng Gao
+	Application of the Yang Laplace Transforms to Solution to Nonlinear Fractional Wave Equation with Local Fractional Derivative	2011	Wei-Ping Zhong Feng Gao
+	A Method for Nonlinear Equation's Simple Roots	2010	Feng Gao
+	Local Fractional Newton's Method Derived from Modified Local Fractional Calculus	2009	Feng Gao Xiao‐Jun Yang Zongxin Kang
+	Unconditionally stable difference schemes for a one-space-dimensional linear hyperbolic equation	2006	Feng Gao Chunmei Chi
+	Large Time Behavior of Solutions to Degenerate Parabolic Equations with Absorption	2006	Feng Gao Huashui Zhan
+	Solving third-order obstacle problems with quartic B-splines	2006	Feng Gao Chunmei Chi
+	Solving the (2+1)-dimensional higher order Broer–Kaup system via a transformation and tanh-function method	2003	Desheng Li Feng Gao Hongqing Zhang
+	Algebraic approximants to exp(z) and applications in construction of difference schemes of first order ODE	2003	Feng Gao Ren-Hong Wang
+	Digital implementation of fractional Fourier transform hologram	2002	Yongkang Guo Shiwei Xie Yangsu Zeng Fuhua Gao Yixiao Zhang Feng Gao Chunlei Du
+	<title>Simple geometry to record fractional Fourier transform hologram with holographic lens</title>	2002	Feng Gao Yixiao Zhang Yangsu Zeng Jing Yang Shiwei Xie Fuhua Gao Xiaoyang Huang Jun Yao Jinglei Du Yongkang Guo
+	<title>Multiple fractional Fourier transform holography</title>	2002	Yangsu Zeng Yixiao Zhang Feng Gao Fuhua Gao Xiaoyang Huang Yongkang Guo
+	The Distribution of Discrete Eigenvalues and Their Limit Points for Transport Operators	2002	Feng Gao
+	The Spectrum Analysis of a Class of Integro-differential Operators in Transport Theory	2000	Feng Gao
+	Interior Point Methods for Convex Programming with Linear Constraint and Their Modified Algorithms	1998	Feng Gao
+	A decomposition algorithm for nonlinear inseparable hierarchical optimization problems	1993	Feng Gao

Common Coauthors

Coauthor	Papers Together
Xiao‐Jun Yang	27
Chunmei Chi	8
Yang Ju	6
H. M. Srivástava	4
J. A. Tenreiro Machado	4
Yangsu Zeng	3
Xin Liang	3
Yongkang Guo	3
Dumitru Băleanu	3
Fuhua Gao	3
Xiaoyang Huang	2
Yang Ju	2
Shiwei Xie	2
Yixiao Zhang	2
Wei-Ping Zhong	1
Zongxin Kang	1
Shiqi Wang	1
Zhen Wang	1
Yufeng Zhang	1
Yan Bai	1
Yixiao Zhang	1
Huashui Zhan	1
Desheng Li	1
Hong Zhou	1
Chunlei Du	1
Wenying Feng	1
Jun Yao	1
Yanan Gao	1
Yanan Gao	1
Ren-Hong Wang	1
Zhong Wei-ping	1
Jinglei Du	1
Hongqing Zhang	1
Syed Tauseef Mohyud‐Din	1
Carlo Cattani	1
Ling‐Yu Duan	1
Yi Xue	1
Yumin Dong	1
Xinguang Zhang	1
Tiejun Huang	1
Yihang Lou	1
Yugui Yang	1
Chunbo Zhou	1
Jing Yang	1
Fudong Ge	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Local Fractional Integral Transforms and their Applications	2016		12
+	Theory and Applications of Fractional Differential Equations	2006	Anatoly A. Kilbas H. M. Srivastava Juan J. Trujillo	7
+ PDF Chat	Fractional derivatives of constant and variable orders applied to anomalous relaxation models in heat transfer problems	2016	Xiao‐Jun Yang	6
+	General Fractional Derivatives: Theory, Methods and Applications	2019	Xiao‐Jun Yang	6
+ PDF Chat	Mittag-Leffler Functions, Related Topics and Applications	2014	Rudolf Gorenflo Anatoly A. Kilbas Francesco Mainardi Sergei Rogosin	5
+ PDF Chat	New fractional derivatives with nonlocal and non-singular kernel: Theory and application to heat transfer model	2016	Abdon Atangana Dumitru Băleanu	5
+	Fractional differential equations	1999	Igor Podlubný	5
+	On exact traveling-wave solutions for local fractional Korteweg-de Vries equation	2016	Xiao‐Jun Yang J. A. Tenreiro Machado Dumitru Băleanu Carlo Cattani	5
+	Advanced Local Fractional Calculus and Its Applications	2012	Xiao‐Jun Yang	5
+	An asymptotic perturbation solution for a linear oscillator of free damped vibrations in fractal medium described by local fractional derivatives	2015	Xiao‐Jun Yang H. M. Srivastava	5
+	The random walk's guide to anomalous diffusion: a fractional dynamics approach	2000	Ralf Metzler J. Klafter	4
+	Local fractional similarity solution for the diffusion equation defined on Cantor sets	2015	Xiao‐Jun Yang Dumitru Băleanu H. M. Srivastava	4
+ PDF Chat	General fractional calculus operators containing the generalized Mittag-Leffler functions applied to anomalous relaxation	2017	Xiao‐Jun Yang	4
+	A New Family of the Local Fractional PDEs	2017	Xiao‐Jun Yang J. A. Tenreiro Machado Juan J. Nieto	4
+ PDF Chat	Fractional differentiability of nowhere differentiable functions and dimensions	1996	Kiran M. Kolwankar Anil D. Gangal	4
+	Generalized Pompeiu type inequalities for local fractional integrals and its applications	2015	Samet Erden Mehmet Zeki Sarıkaya	4
+	On a fractal LC-electric circuit modeled by local fractional calculus	2016	Xiao‐Jun Yang J. A. Tenreiro Machado Carlo Cattani Feng Gao	4
+	An Introduction to the Fractional Calculus and Fractional Differential Equations	1993	Kenneth S. Miller Bertram Ross	4
+ PDF Chat	Local Fractional Fokker-Planck Equation	1998	Kiran M. Kolwankar Anil D. Gangal	3
+	Application of Fractional Calculus for Dynamic Problems of Solid Mechanics: Novel Trends and Recent Results	2009	Yury A. Rossikhin Marina V. Shitikova	3
+	Fractional Integrals and Derivatives: Theory and Applications	1993	Stefan Samko Anatoly A. Kilbas O. I. Marichev	3
+ PDF Chat	Recent history of fractional calculus	2010	J. A. Tenreiro Machado Virginia Kiryakova Francesco Mainardi	3
+	On calculus of local fractional derivatives	2002	Abolfazl Babakhani Varsha Daftardar‐Gejji	3
+	What is a fractional derivative?	2014	Manuel Duarte Ortigueira J. A. Tenreiro Machado	3
+	Static–kinematic duality and the principle of virtual work in the mechanics of fractal media	2001	Alberto Carpinteri B. Chiaia Pietro Cornetti	3
+ PDF Chat	Reconstructive schemes for variational iteration method within Yang-Laplace transform with application to fractal heat conduction problem	2013	Chunfeng Liu Shanshan Kong Shujuan Yuan	3
+ PDF Chat	Nonlinear dynamics for local fractional Burgers’ equation arising in fractal flow	2015	Xiao‐Jun Yang J. A. Tenreiro Machado Jordan Hristov	3
+ PDF Chat	Matrix approach to discrete fractional calculus II: Partial fractional differential equations	2009	Igor Podlubný Aleksei V. Chechkin Tomáš Škovránek YangQuan Chen Blas M. Vinagre	3
+	A SINGULAR INTEGRAL EQUATION WITH A GENERALIZED MITTAG LEFFLER FUNCTION IN THE KERNEL	1971	Tilak Raj Prabhakar	3
+	A new Definition of Fractional Derivative without Singular Kernel	2015	Michèle Caputo Mauro Fabrizio	3
+	A hybrid computational approach for Klein–Gordon equations on Cantor sets	2016	Devendra Kumar Jagdev Singh Dumitru Băleanu	3
+ PDF Chat	A new fractional operator of variable order: Application in the description of anomalous diffusion	2017	Xiao‐Jun Yang J. A. Tenreiro Machado	3
+ PDF Chat	A new fractional derivative without singular kernel: Application to the modelling of the steady heat flow	2015	Xiao‐Jun Yang H. M. Srivastava J. A. Tenreiro Machado	3
+ PDF Chat	A Reliable Algorithm for a Local Fractional Tricomi Equation Arising in Fractal Transonic Flow	2016	Jagdev Singh Devendra Kumar Juan J. Nieto	3
+ PDF Chat	Notions of generalized s-convex functions on fractal sets	2015	Adem Kılıçman Wessam Monther Mohammed Saleh	3
+ PDF Chat	Hölder exponents of irregular signals and local fractional derivatives	1997	Kiran M. Kolwankar Anil D. Gangal	3
+	A new integral transform operator for solving the heat-diffusion problem	2016	Xiao‐Jun Yang	3
+	Generalized mittag-leffler function and generalized fractional calculus operators	2003	Anatoly A. Kilbas Megumi Saigo R. K. Saxena	3
+	Generalized Ostrowski type inequalities for local fractional integrals	2016	Mehmet Zeki Sarıkaya Hüseyin Budak	3
+	A class of boundary value problems for first-order impulsive integro-differential equations with deviating arguments	2012	Zhenhai Liu Jitai Liang	2
+	EXISTENCE AND GLOBAL BIFURCATION OF PERIODIC SOLUTIONS TO A CLASS OF DIFFERENTIAL VARIATIONAL INEQUALITIES	2013	Zhenhai Liu Nguyễn Văn Lợi Valeri Obukhovskiĭ	2
+	Homotopy analysis method for solving a class of fractional partial differential equations	2011	A. Elsaid	2
+	Fractional calculus with an integral operator containing a generalized Mittag–Leffler function in the kernel	2009	H. M. Srivastava Živorad Tomovski	2
+	Homotopy analysis method for solving fractional hyperbolic partial differential equations	2010	Subir Das Praveen Kumar Gupta	2
+	Fractal rheological models and fractional differential equations for viscoelastic behavior	1994	Nicole Heymans J. C. Bauwens	2
+	Threefold Introduction to Fractional Derivatives	2008	R. Hilfer	2
+	Fractional calculus models of complex dynamics in biological tissues	2009	Richard L. Magin	2
+	On the Fractional Calculus Model of Viscoelastic Behavior	1986	Ronald L. Bagley Peter J. Torvik	2
+ PDF Chat	Approximation Solution of Fractional Partial Differential Equations by Neural Networks	2011	Adel Almarashi	2
+	Linear models of dissipation in anelastic solids	1971	Michèle Caputo Francesco Mainardi	2