Liu, Yue Stationary distribution and probability density function of a stochastic waterborne pathogen model with saturated direct and indirect transmissions. (English) Zbl 07784842 Math. Methods Appl. Sci. 46, No. 13, 13830-13854 (2023). MSC: 37N25 92D25 92D30 PDFBibTeX XMLCite \textit{Y. Liu}, Math. Methods Appl. Sci. 46, No. 13, 13830--13854 (2023; Zbl 07784842) Full Text: DOI
Abdel-Gawad, Hamdy I.; Sweilam, Nasser H.; Al-Mekhlafi, Seham M.; Baleanu, Dumitru Exact solutions of the fractional time-derivative Fokker-Planck equation: a novel approach. (English) Zbl 07782458 Math. Methods Appl. Sci. 46, No. 7, 7861-7874 (2023). MSC: 35R11 35A22 35Q84 62E15 PDFBibTeX XMLCite \textit{H. I. Abdel-Gawad} et al., Math. Methods Appl. Sci. 46, No. 7, 7861--7874 (2023; Zbl 07782458) Full Text: DOI
Roul, Pradip; Kumari, Trishna; Rohil, Vikas A computational technique for solving the time-fractional Fokker-Planck equation. (English) Zbl 07781400 Math. Methods Appl. Sci. 45, No. 16, 9736-9752 (2022). MSC: 65M60 35R11 65M12 PDFBibTeX XMLCite \textit{P. Roul} et al., Math. Methods Appl. Sci. 45, No. 16, 9736--9752 (2022; Zbl 07781400) Full Text: DOI
Jasińska, Dominika; Kozitsky, Yuri Dynamics of an infinite age-structured particle system. (English) Zbl 1527.60078 Math. Methods Appl. Sci. 45, No. 8, 4108-4123 (2022). MSC: 60K35 60J25 92D25 PDFBibTeX XMLCite \textit{D. Jasińska} and \textit{Y. Kozitsky}, Math. Methods Appl. Sci. 45, No. 8, 4108--4123 (2022; Zbl 1527.60078) Full Text: DOI arXiv
Duan, Chenghua; Chen, Wenbin; Liu, Chun; Wang, Cheng; Zhou, Shenggao Convergence analysis of structure-preserving numerical methods for nonlinear Fokker-Planck equations with nonlocal interactions. (English) Zbl 07780620 Math. Methods Appl. Sci. 45, No. 7, 3764-3781 (2022). MSC: 65M75 65M06 65M12 65M15 35K65 76M20 76M28 35B40 35R60 35Q84 PDFBibTeX XMLCite \textit{C. Duan} et al., Math. Methods Appl. Sci. 45, No. 7, 3764--3781 (2022; Zbl 07780620) Full Text: DOI
Dai, Yucong; Zhou, Baoquan; Jiang, Daqing; Hayat, Tasawar Stationary distribution and density function analysis of stochastic susceptible-vaccinated-infected-recovered (SVIR) epidemic model with vaccination of newborns. (English) Zbl 1527.92047 Math. Methods Appl. Sci. 45, No. 7, 3401-3416 (2022). MSC: 92D30 60H10 PDFBibTeX XMLCite \textit{Y. Dai} et al., Math. Methods Appl. Sci. 45, No. 7, 3401--3416 (2022; Zbl 1527.92047) Full Text: DOI
Sabelfeld, Karl; Kireeva, Anastasya A global random walk on spheres algorithm for calculating the solution and its derivatives of the drift-diffusion-reaction equations. (English) Zbl 1527.65002 Math. Methods Appl. Sci. 45, No. 3, 1420-1431 (2022). MSC: 65C05 65C35 82C31 82B41 PDFBibTeX XMLCite \textit{K. Sabelfeld} and \textit{A. Kireeva}, Math. Methods Appl. Sci. 45, No. 3, 1420--1431 (2022; Zbl 1527.65002) Full Text: DOI
Srinivasa, Kumbinarasaiah; Rezazadeh, Hadi; Adel, Waleed An effective numerical simulation for solving a class of Fokker-Planck equations using Laguerre wavelet method. (English) Zbl 1527.65066 Math. Methods Appl. Sci. 45, No. 11, 6824-6843 (2022). MSC: 65L60 33C45 65T60 PDFBibTeX XMLCite \textit{K. Srinivasa} et al., Math. Methods Appl. Sci. 45, No. 11, 6824--6843 (2022; Zbl 1527.65066) Full Text: DOI
Nzoupe, Fernand Naha; Dikandé, Alain Moíse; Tchawoua, Clement Phase transition in quantum tunneling and exact statistical mechanics for a model of parameterized double-well potential. (English) Zbl 1482.82003 Math. Methods Appl. Sci. 44, No. 16, 12221-12235 (2021). MSC: 82B10 82B26 35Q84 81T28 81U26 35C08 PDFBibTeX XMLCite \textit{F. N. Nzoupe} et al., Math. Methods Appl. Sci. 44, No. 16, 12221--12235 (2021; Zbl 1482.82003) Full Text: DOI arXiv
Zhang, Zhi-Yong; Zheng, Jia; Guo, Lei-Lei; Wu, Hong-Feng Lie symmetries and conservation laws of the Fokker-Planck equation with power diffusion. (English) Zbl 1457.35086 Math. Methods Appl. Sci. 43, No. 15, 8894-8905 (2020). Reviewer: Eugene Postnikov (Kursk) MSC: 35Q84 35A30 92D25 22E70 PDFBibTeX XMLCite \textit{Z.-Y. Zhang} et al., Math. Methods Appl. Sci. 43, No. 15, 8894--8905 (2020; Zbl 1457.35086) Full Text: DOI
Izadkhah, Mohammad Mahdi; Saberi-Nadjafi, Jafar; Toutounian, Faezeh An extension of the Gegenbauer pseudospectral method for the time fractional Fokker-Planck equation. (English) Zbl 1392.65020 Math. Methods Appl. Sci. 41, No. 4, 1301-1315 (2018). MSC: 65D99 26A33 65M70 34A08 65F10 PDFBibTeX XMLCite \textit{M. M. Izadkhah} et al., Math. Methods Appl. Sci. 41, No. 4, 1301--1315 (2018; Zbl 1392.65020) Full Text: DOI
Jiang, Zaihong; Li, Li; Zhong, Ning The Cauchy problem of a fluid-particle interaction model with external forces. (English) Zbl 1384.35073 Math. Methods Appl. Sci. 41, No. 1, 212-233 (2018). MSC: 35Q31 35B65 35Q35 76D03 35Q83 35Q84 35D35 35B40 76D07 35B45 PDFBibTeX XMLCite \textit{Z. Jiang} et al., Math. Methods Appl. Sci. 41, No. 1, 212--233 (2018; Zbl 1384.35073) Full Text: DOI
Ray, Santanu Saha The transport dynamics in complex systems governing by anomalous diffusion modelled with Riesz fractional partial differential equations. (English) Zbl 1380.65177 Math. Methods Appl. Sci. 40, No. 5, 1637-1648 (2017). MSC: 65M06 35R11 65M12 35K57 PDFBibTeX XMLCite \textit{S. S. Ray}, Math. Methods Appl. Sci. 40, No. 5, 1637--1648 (2017; Zbl 1380.65177) Full Text: DOI
Wang, Tian-Jun Composite generalized Laguerre spectral method for nonlinear Fokker-Planck equations on the whole line. (English) Zbl 1368.82023 Math. Methods Appl. Sci. 40, No. 5, 1462-1474 (2017). Reviewer: Trifce Sandev (Skopje) MSC: 82C31 65M70 41A30 35Q84 82-08 PDFBibTeX XMLCite \textit{T.-J. Wang}, Math. Methods Appl. Sci. 40, No. 5, 1462--1474 (2017; Zbl 1368.82023) Full Text: DOI
Dehghan, Mehdi; Safarpoor, Mansour The dual reciprocity boundary integral equation technique to solve a class of the linear and nonlinear fractional partial differential equations. (English) Zbl 1342.65224 Math. Methods Appl. Sci. 39, No. 10, 2461-2476 (2016). MSC: 65N38 35R11 PDFBibTeX XMLCite \textit{M. Dehghan} and \textit{M. Safarpoor}, Math. Methods Appl. Sci. 39, No. 10, 2461--2476 (2016; Zbl 1342.65224) Full Text: DOI
Picard, Rainer; Trostorff, Sascha; Waurick, Marcus On evolutionary equations with material laws containing fractional integrals. (English) Zbl 1351.35254 Math. Methods Appl. Sci. 38, No. 15, 3141-3154 (2015). Reviewer: Daniel Ševčovič (Bratislava) MSC: 35R11 35A01 35A02 35A22 74C10 74H99 PDFBibTeX XMLCite \textit{R. Picard} et al., Math. Methods Appl. Sci. 38, No. 15, 3141--3154 (2015; Zbl 1351.35254) Full Text: DOI arXiv
Lucquin-Desreux, Brigitte The Milne problem for the linear Fokker-Planck operator with a force term. (English) Zbl 1021.35084 Math. Methods Appl. Sci. 26, No. 5, 389-412 (2003). MSC: 35Q35 76X05 76R50 82C40 82D10 PDFBibTeX XMLCite \textit{B. Lucquin-Desreux}, Math. Methods Appl. Sci. 26, No. 5, 389--412 (2003; Zbl 1021.35084) Full Text: DOI
Lemou, M. Linearized quantum and relativistic Fokker-Planck-Landau equations. (English) Zbl 1018.82012 Math. Methods Appl. Sci. 23, No. 12, 1093-1119 (2000). MSC: 82C31 35Q40 47N55 45K05 PDFBibTeX XMLCite \textit{M. Lemou}, Math. Methods Appl. Sci. 23, No. 12, 1093--1119 (2000; Zbl 1018.82012) Full Text: DOI
Pulvirenti, M.; Simeoni, C. \(L^\infty\)-estimates for the Vlasov-Poisson-Fokker-Planck equation. (English) Zbl 0957.35027 Math. Methods Appl. Sci. 23, No. 10, 923-935 (2000). Reviewer: P.B.Dubovski (Moskva) MSC: 35B45 82C31 60H10 60J60 60J65 35K55 35Q72 35Q60 PDFBibTeX XMLCite \textit{M. Pulvirenti} and \textit{C. Simeoni}, Math. Methods Appl. Sci. 23, No. 10, 923--935 (2000; Zbl 0957.35027) Full Text: DOI
Carpio, Ana Long-time behaviour for solutions of the Vlasov-Poisson-Fokker-Planck equation. (English) Zbl 0911.35090 Math. Methods Appl. Sci. 21, No. 11, 985-1014 (1998). Reviewer: G.Rein (München) MSC: 35Q35 35B40 76X05 82D10 PDFBibTeX XMLCite \textit{A. Carpio}, Math. Methods Appl. Sci. 21, No. 11, 985--1014 (1998; Zbl 0911.35090) Full Text: DOI
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