New semi-analytical solutions of the time-fractional Fokker–Planck equation by the neural network method

Similar Works

Action	Title	Year	Authors
+	A New Analytic-Approximate Solution of Fokker-Planck Equation with Space-and Time-Fractional Derivative	2014	Mohsen Zahedi
+	Neural network-based analytical solver for Fokker–Planck equation	2023	Yang Zhang Runfa Zhang Ka‐Veng Yuen
+ PDF Chat	An efficient analytical approach for solving fractional Fokker-Planck equations	2020	Bairwa R.K. Karan Singh
+	A novel fractional physics-informed neural networks method for solving the time-fractional Huxley equation	2024	Jieyu Shi Xiaozhong Yang Xinlong Liu
+	Neural network method for solving fractional diffusion equations	2020	Haidong Qu Zi‐Hang She Xuan Liu
+	Neural network method for fractional-order partial differential equations	2020	Haidong Qu Xuan Liu Zi‐Hang She
+	Numerical solution techniques for time-and space-fractional fokker-planck equations	2008	Qianqian Yang Fawang Liu Ian Turner
+	Extended artificial neural networks approach for solving two-dimensional fractional-order Volterra-type integro-differential equations	2022	Rahim Saneifard Ahmad Jafarian N. Ghalami S. Measoomy Nia
+	A neural networks-based numerical method for the generalized Caputo-type fractional differential equations	2023	S M Sivalingam Pushpendra Kumar V. Govindaraj
+	An Efficient Computational Method for Solving Fractional Fokker-Planck Equations	2020
+	Artificial neural network approach for a class of fractional ordinary differential equation	2016	Ahmad Jafarian Masoumeh Mokhtarpour Dumitru Băleanu
+	A new iterative technique for solving fractal-fractional differential equations based on artificial neural network in the new generalized Caputo sense	2022	A. M. Shloof Norazak Senu Ali Ahmadian Morteza Pakdaman Soheil Salahshour
+	The Solution of Nonlinear Time-Fractional Differential Equations: An Approximate Analytical Approach	2022
+	A new scheme for the solution of the nonlinear Caputo–Hadamard fractional differential equations	2024	Umer Saeed Mujeeb ur Rehman
+	Study of fractional-order reaction-advection-diffusion equation using neural network method	2023	Chetna Biswas Anup Singh Manish Chopra Subir Das
+	Exact solutions of the fractional time‐derivative Fokker–Planck equation: A novel approach	2021	H. I. Abdel‐Gawad N. H. Sweilam S.M. AL–Mekhlafi Dumitru Băleanu
+	Adaptive Learning Neural Network Method for Solving Time–Fractional Diffusion Equations	2022	Babak Shiri Hua Kong Guo–Cheng Wu Cheng Luo
+	Exact Solutions of the Time Derivative Fokker-Planck Equation: A Novel Approach	2020	H. I. Abdel‐Gawad N. H. Sweilam S.M. AL–Mekhlafi Dumitru Băleanu
+	A semi-analytical method for solving a class of non-homogeneous time-fractional partial differential equations	2021	Jianke Zhang Luyang Yin
+	A New Numerical Method for Solving Nonlinear Fractional Fokker–Planck Differential Equations	2017	Beibei Guo Wei Jiang Chiping Zhang

Works That Cite This (13)

Action	Title	Year	Authors
+ PDF Chat	Stability and bifurcation control analysis of a delayed fractional-order eco-epidemiological system	2022	Hao Qi Wencai Zhao
+	Study of fractional-order reaction-advection-diffusion equation using neural network method	2023	Chetna Biswas Anup Singh Manish Chopra Subir Das
+	Numerical simulation and theoretical analysis of pattern dynamics for the fractional-in-space Schnakenberg model	2024	Ji‐Lei Wang Yu-Xing Han Qing-Tong Chen Zhiyuan Li Ming-Jing Du Yulan Wang
+	M-lump solutions, lump-breather solutions, and N-soliton wave solutions for the KP-BBM equation via the improved bilinear neural network method using innovative composite functions	2024	Chuyu Huang Yan Zhu Kehua Li Junjie Li Run-Fa Zhang
+ PDF Chat	Analytical and Numerical Methods to Study the MFPT and SR of a Stochastic Tumor-Immune Model	2023	Ying Zhang Wei Li Guidong Yang Snežana Kirin
+	SLeNN-ELM: A shifted Legendre neural network method for fractional delay differential equations based on extreme learning machine	2023	Yinlin Ye Yajing Li Hongtao Fan Xinyi Liu Hongbing Zhang
+	An optimal neural network design for fractional deep learning of logistic growth	2023	Jia-Li Wei Guo–Cheng Wu Baoqing Liu Juan J. Nieto
+	A survey of fractional calculus applications in artificial neural networks	2023	Manisha Joshi S. R. Bhosale Vishwesh A. Vyawahare
+	A space-time Galerkin Müntz spectral method for the time fractional Fokker–Planck equation	2024	Wei Zeng Jia Wei He Aiguo Xiao
+ PDF Chat	The Mean First-Passage Time and Stochastic Resonance of a Stochastic Tumor-immune Model via BPNN Method	2023	Ying Zhang Wei Li Guidong Yang Snežana Kirin

Works Cited by This (33)

Action	Title	Year	Authors
+	None	2001	Lucie P. Aarts Peter van der Veer
+	Theory and Applications of Fractional Differential Equations	2006	Anatoly A. Kilbas H. M. Srivastava Juan J. Trujillo
+	A fully discrete difference scheme for a diffusion-wave system	2005	Zhi‐zhong Sun Xiaonan Wu
+	Approximate analytical solution for seepage flow with fractional derivatives in porous media	1998	Ji‐Huan He
+	Accurate path integral representations of the Fokker-Planck equation with a linear reference system: Comparative study of current theories	1998	Alexander N. Drozdov J. Javier Brey
+	From continuous time random walks to the fractional Fokker-Planck equation	2000	Eli Barkai Ralf Metzler J. Klafter
+	Variational iteration method for the Burgers’ flow with fractional derivatives—New Lagrange multipliers	2013	Guo–Cheng Wu Dumitru Băleanu
+	Multilayer perceptrons and radial basis function neural network methods for the solution of differential equations: A survey	2011	Manoj Kumar Neha Yadav
+	Anomalous Diffusion and Relaxation Close to Thermal Equilibrium: A Fractional Fokker-Planck Equation Approach	1999	Ralf Metzler Eli Barkai J. Klafter
+	A new analysis of stability and convergence for finite difference schemes solving the time fractional Fokker–Planck equation	2014	Yingjun Jiang