D’Elia, Marta; Gulian, Mamikon Analysis of anisotropic nonlocal diffusion models: well-posedness of fractional problems for anomalous transport. (English) Zbl 07672281 Numer. Math., Theory Methods Appl. 15, No. 4, 851-875 (2022). MSC: 60K50 60G22 60H20 45R05 PDFBibTeX XMLCite \textit{M. D'Elia} and \textit{M. Gulian}, Numer. Math., Theory Methods Appl. 15, No. 4, 851--875 (2022; Zbl 07672281) Full Text: DOI arXiv
Zhou, Tingtao; Peng, Zhiwei; Gulian, Mamikon; Brady, John F. Distribution and pressure of active Lévy swimmers under confinement. (English) Zbl 1519.60123 J. Phys. A, Math. Theor. 54, No. 27, Article ID 275002, 21 p. (2021). MSC: 60K50 76A30 PDFBibTeX XMLCite \textit{T. Zhou} et al., J. Phys. A, Math. Theor. 54, No. 27, Article ID 275002, 21 p. (2021; Zbl 1519.60123) Full Text: DOI arXiv
Lischke, Anna; Pang, Guofei; Gulian, Mamikon; Song, Fangying; Glusa, Christian; Zheng, Xiaoning; Mao, Zhiping; Cai, Wei; Meerschaert, Mark M.; Ainsworth, Mark; Karniadakis, George Em What is the fractional Laplacian? A comparative review with new results. (English) Zbl 1453.35179 J. Comput. Phys. 404, Article ID 109009, 62 p. (2020). MSC: 35R11 60G51 35A01 35A02 65N30 65C05 35-02 65-02 PDFBibTeX XMLCite \textit{A. Lischke} et al., J. Comput. Phys. 404, Article ID 109009, 62 p. (2020; Zbl 1453.35179) Full Text: DOI Link
Gulian, Mamikon; Raissi, Maziar; Perdikaris, Paris; Karniadakis, George Machine learning of space-fractional differential equations. (English) Zbl 1419.35209 SIAM J. Sci. Comput. 41, No. 4, A2485-A2509 (2019). MSC: 35R11 62F15 60G15 60G52 62M10 65N21 PDFBibTeX XMLCite \textit{M. Gulian} et al., SIAM J. Sci. Comput. 41, No. 4, A2485--A2509 (2019; Zbl 1419.35209) Full Text: DOI arXiv