Pagnini, Gianni; Vitali, Silvia Should I stay or should I go? Zero-size jumps in random walks for Lévy flights. (English) Zbl 1474.60124 Fract. Calc. Appl. Anal. 24, No. 1, 137-167 (2021). MSC: 60G50 60J60 60J25 PDFBibTeX XMLCite \textit{G. Pagnini} and \textit{S. Vitali}, Fract. Calc. Appl. Anal. 24, No. 1, 137--167 (2021; Zbl 1474.60124) Full Text: DOI arXiv
D’Ovidio, Mirko; Vitali, Silvia; Sposini, Vittoria; Sliusarenko, Oleksii; Paradisi, Paolo; Castellani, Gastone; Pagnini, Gianni Centre-of-mass like superposition of Ornstein-Uhlenbeck processes: A pathway to non-autonomous stochastic differential equations and to fractional diffusion. (English) Zbl 1436.60041 Fract. Calc. Appl. Anal. 21, No. 5, 1420-1435 (2018). MSC: 60G22 65C30 91B70 60J60 34A08 60J70 PDFBibTeX XMLCite \textit{M. D'Ovidio} et al., Fract. Calc. Appl. Anal. 21, No. 5, 1420--1435 (2018; Zbl 1436.60041) Full Text: DOI arXiv
Pagnini, Gianni; Paradisi, Paolo A stochastic solution with Gaussian stationary increments of the symmetric space-time fractional diffusion equation. (English) Zbl 1341.60073 Fract. Calc. Appl. Anal. 19, No. 2, 408-440 (2016). MSC: 60H30 35R11 60G15 60G22 60J60 60G10 60G18 60G20 26A33 82C31 PDFBibTeX XMLCite \textit{G. Pagnini} and \textit{P. Paradisi}, Fract. Calc. Appl. Anal. 19, No. 2, 408--440 (2016; Zbl 1341.60073) Full Text: DOI arXiv
Garra, Roberto; Giusti, Andrea; Mainardi, Francesco; Pagnini, Gianni Fractional relaxation with time-varying coefficient. (English) Zbl 1305.26018 Fract. Calc. Appl. Anal. 17, No. 2, 424-439 (2014). MSC: 26A33 33E12 34A08 76A10 PDFBibTeX XMLCite \textit{R. Garra} et al., Fract. Calc. Appl. Anal. 17, No. 2, 424--439 (2014; Zbl 1305.26018) Full Text: DOI Link
Pagnini, Gianni The M-Wright function as a generalization of the Gaussian density for fractional diffusion processes. (English) Zbl 1312.33061 Fract. Calc. Appl. Anal. 16, No. 2, 436-453 (2013). MSC: 33E20 26A33 44A35 60G18 60G22 33E30 PDFBibTeX XMLCite \textit{G. Pagnini}, Fract. Calc. Appl. Anal. 16, No. 2, 436--453 (2013; Zbl 1312.33061) Full Text: DOI
Pagnini, Gianni Erdélyi-Kober fractional diffusion. (English) Zbl 1276.26021 Fract. Calc. Appl. Anal. 15, No. 1, 117-127 (2012). MSC: 26A33 45D05 60G22 33E30 PDFBibTeX XMLCite \textit{G. Pagnini}, Fract. Calc. Appl. Anal. 15, No. 1, 117--127 (2012; Zbl 1276.26021) Full Text: DOI arXiv
Pagnini, Gianni Nonlinear time-fractional differential equations in combustion science. (English) Zbl 1273.34013 Fract. Calc. Appl. Anal. 14, No. 1, 80-93 (2011). MSC: 34A08 80A25 35R11 PDFBibTeX XMLCite \textit{G. Pagnini}, Fract. Calc. Appl. Anal. 14, No. 1, 80--93 (2011; Zbl 1273.34013) Full Text: DOI Link
Mainardi, Francesco; Pagnini, Gianni Mellin-Barnes integrals for stable distributions and their convolutions. (English) Zbl 1175.26017 Fract. Calc. Appl. Anal. 11, No. 4, 443-456 (2008). Reviewer: Stefan G. Samko (Faro) MSC: 26A33 33C60 42A38 44A35 60G18 60G52 PDFBibTeX XMLCite \textit{F. Mainardi} and \textit{G. Pagnini}, Fract. Calc. Appl. Anal. 11, No. 4, 443--456 (2008; Zbl 1175.26017)
Mainardi, Francesco; Pagnini, Gianni; Gorenflo, Rudolf Mellin transform and subordination laws in fractional diffusion processes. (English) Zbl 1083.60032 Fract. Calc. Appl. Anal. 6, No. 4, 441-459 (2003). Reviewer: Peter Becker-Kern (Dortmund) MSC: 60G18 26A33 42A38 44A15 44A35 60G52 PDFBibTeX XMLCite \textit{F. Mainardi} et al., Fract. Calc. Appl. Anal. 6, No. 4, 441--459 (2003; Zbl 1083.60032) Full Text: arXiv
Mainardi, Francesco; Luchko, Yuri; Pagnini, Gianni The fundamental solution of the space-time fractional diffusion equation. (English) Zbl 1054.35156 Fract. Calc. Appl. Anal. 4, No. 2, 153-192 (2001). Reviewer: Sergei V. Rogosin (Minsk) MSC: 35S10 26A33 33E12 44A10 35K05 PDFBibTeX XMLCite \textit{F. Mainardi} et al., Fract. Calc. Appl. Anal. 4, No. 2, 153--192 (2001; Zbl 1054.35156) Full Text: arXiv