Ye, Yinlin; Fan, Hongtao; Li, Yajing; Huang, Ao; He, Weiheng An artificial neural network approach for a class of time-fractional diffusion and diffusion-wave equations. (English) Zbl 07798650 Netw. Heterog. Media 18, No. 3, 1083-1104 (2023). MSC: 65M99 68T07 92B20 65M15 41A58 33E12 26A33 35R11 PDFBibTeX XMLCite \textit{Y. Ye} et al., Netw. Heterog. Media 18, No. 3, 1083--1104 (2023; Zbl 07798650) Full Text: DOI
Fjellström, Carmina Selected topics in mathematical modelling: machine learning and tugs-of-war. (English) Zbl 1515.68014 Uppsala Dissertations in Mathematics 127. Uppsala: Uppsala Univ., Department of Mathematics (Diss.) (ISBN 978-91-506-2998-9). 41 p., open access (2023). MSC: 68-02 35-02 91-02 35K65 35R11 35Q91 68T05 68T07 91A15 91B84 91G10 PDFBibTeX XMLCite \textit{C. Fjellström}, Selected topics in mathematical modelling: machine learning and tugs-of-war. Uppsala: Uppsala Univ., Department of Mathematics (Diss.) (2023; Zbl 1515.68014) Full Text: Link
Kumar, Santosh; Alam, Khursheed; Chauhan, Alka Fractional derivative based nonlinear diffusion model for image denoising. (English) Zbl 1491.65020 S\(\vec{\text{e}}\)MA J. 79, No. 2, 355-364 (2022). MSC: 65D18 26A33 65M06 68U10 PDFBibTeX XMLCite \textit{S. Kumar} et al., S\(\vec{\text{e}}\)MA J. 79, No. 2, 355--364 (2022; Zbl 1491.65020) Full Text: DOI
Hou, Dianming; Azaïez, Mejdi; Xu, Chuanju Müntz spectral method for two-dimensional space-fractional convection-diffusion equation. (English) Zbl 1518.65117 Commun. Comput. Phys. 26, No. 5, 1415-1443 (2019). MSC: 65M70 65M06 65N35 33C45 26A33 35R11 65D18 68U05 68U07 PDFBibTeX XMLCite \textit{D. Hou} et al., Commun. Comput. Phys. 26, No. 5, 1415--1443 (2019; Zbl 1518.65117) Full Text: DOI
Iacus, Stefano M.; Yoshida, Nakahiro Simulation and inference for stochastic processes with YUIMA. A comprehensive R framework for SDEs and other stochastic processes. (English) Zbl 1458.60004 Use R!. Cham: Springer (ISBN 978-3-319-55567-6/pbk; 978-3-319-55569-0/ebook). xiii, 268 p. (2018). Reviewer: Irina Ioana Mohorianu (Oxford) MSC: 60-02 60-04 60G05 68N15 PDFBibTeX XMLCite \textit{S. M. Iacus} and \textit{N. Yoshida}, Simulation and inference for stochastic processes with YUIMA. A comprehensive R framework for SDEs and other stochastic processes. Cham: Springer (2018; Zbl 1458.60004) Full Text: DOI
Bogaenko, V. A.; Bulavatskiĭ, V. M. Numerical modelling of the fractional-differential dynamics of the filtration-convective diffusion on the base of parallel algorithms for cluster systems. (Russian. English summary) Zbl 1374.93030 Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2017, No. 1, 21-28 (2017). MSC: 93A30 35K57 35R11 68Q10 PDFBibTeX XMLCite \textit{V. A. Bogaenko} and \textit{V. M. Bulavatskiĭ}, Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2017, No. 1, 21--28 (2017; Zbl 1374.93030) Full Text: DOI
Datsko, B. Y.; Gafiychuk, V. V. Chaotic dynamics in Bonhoffer-van der Pol fractional reaction-diffusion system. (English) Zbl 1203.37056 Signal Process. 91, No. 3, 452-460 (2011). MSC: 37D45 35K57 68T10 PDFBibTeX XMLCite \textit{B. Y. Datsko} and \textit{V. V. Gafiychuk}, Signal Process. 91, No. 3, 452--460 (2011; Zbl 1203.37056) Full Text: DOI
Özdemir, Necati; Karadeniz, Derya Fractional diffusion-wave problem in cylindrical coordinates. (English) Zbl 1223.26012 Phys. Lett., A 372, No. 38, 5968-5972 (2008). MSC: 26A33 35R11 60J60 35L05 68U20 PDFBibTeX XMLCite \textit{N. Özdemir} and \textit{D. Karadeniz}, Phys. Lett., A 372, No. 38, 5968--5972 (2008; Zbl 1223.26012) Full Text: DOI
Carasso, Alfred S. Error bounds in nonsmooth image deblurring. (English) Zbl 0870.35119 SIAM J. Math. Anal. 28, No. 3, 656-668 (1997). MSC: 35R25 35B60 65M30 60E07 68U10 35B35 PDFBibTeX XMLCite \textit{A. S. Carasso}, SIAM J. Math. Anal. 28, No. 3, 656--668 (1997; Zbl 0870.35119) Full Text: DOI