Hermite‐Shannon‐Cosine spectral method for fractional partial differential equations.

Authors: Hu, Haitao¹, Cattani, Piercarlo², Mei, Shuli¹, meishuli@cau.edu.cn

Source: Expert Systems; Jan2025, Vol. 42 Issue 1, p1-13, 13p

Extinction and stationary distribution of a novel SIRS epidemic model with general incidence rate and Ornstein–Uhlenbeck process.

Authors: Cao, Hong¹ (AUTHOR), Liu, Xiaohu¹ (AUTHOR), Nie, Linfei¹ (AUTHOR) lfnie@163.com

Source: Advances in Continuous & Discrete Models. 7/25/2024, Vol. 2024 Issue 1, p1-26. 26p.

Subject Terms: *ORNSTEIN-Uhlenbeck process, *FOKKER-Planck equation, *EPIDEMICS, *ALGEBRAIC equations, *COMMUNICABLE diseases, *INFECTIOUS disease transmission

The Generalized Hermite Spectral Method Combined with Laplace Transform for Solution of the Time Fractional Fokker–Planck Equation.

Authors: Yang, Lu-feng^1,2, ylf-sd@163.com, Freire, Igor, igor.leite.freire@gmail.com

Source: Advances in Mathematical Physics; 7/3/2024, Vol. 2024, p1-8, 8p

Entropy Production of Run-and-Tumble Particles.

Authors: Paoluzzi, Matteo¹ (AUTHOR) matteo.paoluzzi@cnr.it, Puglisi, Andrea^2,3 (AUTHOR) andrea.puglisi@cnr.it, Angelani, Luca^2,3 (AUTHOR) luca.angelani@cnr.it

Source: Entropy. Jun2024, Vol. 26 Issue 6, p443. 15p.

Subject Terms: *FOKKER-Planck equation

A space-time Galerkin Müntz spectral method for the time fractional Fokker–Planck equation.

Authors: Zeng, Wei¹ (AUTHOR), He, Jiawei² (AUTHOR), Xiao, Aiguo³ (AUTHOR) xag@xtu.edu.cn

Source: International Journal of Computer Mathematics. Apr2024, Vol. 101 Issue 4, p407-431. 25p.

Subject Terms: *FOKKER-Planck equation, *TRANSPORT equation, *SPACETIME, *JACOBI polynomials, *POLYNOMIAL time algorithms, *GALERKIN methods

Analytical solutions to fractional differential equations: A comparative study with the natural homotopy pertutation method.

Authors: Jassim, Hassan Kamil¹ (AUTHOR) hassankamil@utq.edu.iq, Hussein, Ghazwan Ali Abdul^1,2 (AUTHOR) ghazwanali84@gmail.com

Source: AIP Conference Proceedings. 2025, Vol. 3264 Issue 1, p1-12. 12p.

Subject Terms: *FRACTIONAL differential equations, *FOKKER-Planck equation, *BIOLOGICAL models, *PERMUTATIONS, *EQUATIONS

Co-Optimizing Power-Transportation Networks With Circulating Loads and Particle-Like Stochastic Motion

Authors: Weng, Y., Xie, J., Purage Mohasha Isuru Sampath, L., Macdonald, R., Vorobev, P., Dinh Nguyen, H.

Source: IEEE Transactions on Smart Grid IEEE Trans. Smart Grid Smart Grid, IEEE Transactions on. 16(1):640-651 Jan, 2025

Hyper-Ballistic Superdiffusion of Competing Microswimmers.

Authors: Olsen, Kristian Stølevik^1,2 (AUTHOR) kristian.olsen@hhu.de, Hansen, Alex³ (AUTHOR) alex.hansen@ntnu.no, Flekkøy, Eirik Grude^4,5 (AUTHOR) e.g.flekkoy@fys.uio.no

Source: Entropy. Mar2024, Vol. 26 Issue 3, p274. 8p.

Subject Terms: *POROUS materials, *FOKKER-Planck equation, *NONLINEAR equations

Impulse Control of Conditional McKean–Vlasov Jump Diffusions.

Authors: Agram, Nacira¹, Pucci, Giulia¹, pucci@kth.se, Øksendal, Bernt²

Source: Journal of Optimization Theory & Applications; Mar2024, Vol. 200 Issue 3, p1100-1130, 31p

Fractional diffusion for Fokker–Planck equation with heavy tail equilibrium: An à la Koch spectral method in any dimension.

Authors: Dechicha, Dahmane¹ (AUTHOR) dechicha@unice.fr, Puel, Marjolaine² (AUTHOR) mpuel@cyu.fr

Source: Asymptotic Analysis. 2024, Vol. 136 Issue 2, p79-132. 54p.

Subject Terms: *FOKKER-Planck equation, *HEAT equation, *NONLINEAR equations, *EQUILIBRIUM, *DIFFUSION coefficients, *RIESZ spaces

Binary spectral collocation method for the nonlinear Fokker-Planck equation.

Authors: Yajin, Zhang¹, Tianjun, Wang¹, wangtianjun64@163.com, Jia, Tan¹

Source: Journal of Algorithms & Computational Technology; Jan-Dec2024, Vol. 18, p1-8, 8p

On Kuramoto-Sakaguchi-type Fokker-Planck equation with delay.

Authors: Honda, Hirotada¹, honda.hirotada@iniad.org

Source: Networks & Heterogeneous Media; 2024, Vol. 19 Issue 1, p1-23, 23p

The Limiting Dynamics of SGD: Modified Loss, Phase-Space Oscillations, and Anomalous Diffusion.

Authors: Kunin, Daniel¹, kunin@stanford.edu, Sagastuy-Brena, Javier¹, jvrsgsty@stanford.edu, Gillespie, Lauren¹, gillespl@stanford.edu, Margalit, Eshed¹, eshedm@stanford.edu, Tanaka, Hidenori², hidenori.tanaka@ntt-research.com, Ganguli, Surya^1,3, sganguli@stanford.edu, Yamins, Daniel L. K.¹, yamins@stanford.edu

Source: Neural Computation; Jan2024, Vol. 36 Issue 1, p151-174, 24p

Steady-State Supersaturation Distributions for Clouds under Turbulent Forcing.

Authors: Santos Gutiérrez, Manuel¹, manuel.santos-gutierrez@weizmann.ac.il, Furtado, Kalli²

Source: Journal of the Atmospheric Sciences; Jan2024, Vol. 81 Issue 1, p209-224, 16p

Uncertainty Propagation on Unimodular Matrix Lie Groups

Authors: Ye, J., Jayaraman, A.S., Chirikjian, G.S.

Source: IEEE Transactions on Automatic Control IEEE Trans. Automat. Contr. Automatic Control, IEEE Transactions on. 70(4):2450-2465 Apr, 2025

Collocation Finite Element Method for the Fractional Fokker–Planck Equation.

Authors: Karabenli, Hatice¹, haticekarabenli@gmail.com, Esen, Alaattin¹, Uçar, Yusuf¹

Source: International Journal for Numerical Methods in Fluids; Mar2025, Vol. 97 Issue 3, p224-232, 9p

Random periodic paths of stochastic periodic semi-flows through random attractors, synchronizations and Lyapunov exponents: Random periodic paths of stochastic periodic semi-flows...: C. Feng and Y. Luo.

Authors: Feng, Chunrong^1,2, Luo, Yan², y.luo@sdu.edu.cn

Source: Computational & Applied Mathematics; Mar2025, Vol. 44 Issue 2, p1-22, 22p

Well-posedness and trend to equilibrium for the Vlasov-Poisson-Fokker-Planck system with a confining potential.

Authors: Toshpulatov, Gayrat¹, author1@domain.com

Source: Kinetic & Related Models; Feb2025, Vol. 18 Issue 1, p1-41, 41p

Wasserstein contraction for the stochastic Morris-Lecar neuron model.

Authors: Herda, Maxime¹, maxime.herda@inria.fr, Monmarché, Pierre^2,3, pierre.monmarche@sorbonne-universite.fr, Perthame, Benoît², benoit.perthame@sorbonne-universite.fr

Source: Kinetic & Related Models; Feb2025, Vol. 18 Issue 1, p1-18, 18p

A graded mesh technique for numerical approximation of a multi-term Caputo time-fractional Fokker-Planck equation in 2D space.

Authors: Roul, Pradip¹ (AUTHOR) pradipvnit@yahoo.com, Kumari, Trishna¹ (AUTHOR) trishnakumari96@gmail.com, Khandagale, Sameer N.¹ (AUTHOR)

Source: Computers & Mathematics with Applications. Jan2025, Vol. 178, p92-107. 16p.

Subject Terms: *CAPUTO fractional derivatives, *FOKKER-Planck equation