Vitali, S.; Paradisi, P.; Pagnini, G. Anomalous diffusion originated by two Markovian hopping-trap mechanisms. (English) Zbl 1506.60111 J. Phys. A, Math. Theor. 55, No. 22, Article ID 224012, 26 p. (2022). MSC: 60K50 PDFBibTeX XMLCite \textit{S. Vitali} et al., J. Phys. A, Math. Theor. 55, No. 22, Article ID 224012, 26 p. (2022; Zbl 1506.60111) Full Text: DOI arXiv
Beghin, Luisa; Garra, Roberto; Mainardi, Francesco; Pagnini, Gianni The tempered space-fractional Cattaneo equation. arXiv:2206.05063 Preprint, arXiv:2206.05063 [math.PR] (2022). MSC: 26A33 33E12 35C05 44A10 60H30 BibTeX Cite \textit{L. Beghin} et al., ``The tempered space-fractional Cattaneo equation'', Preprint, arXiv:2206.05063 [math.PR] (2022) Full Text: arXiv OA License
Sposini, Vittoria; Vitali, Silvia; Paradisi, Paolo; Pagnini, Gianni Fractional diffusion and medium heterogeneity: the case of the continuous time random walk. (English) Zbl 1468.60127 Beghin, Luisa (ed.) et al., Nonlocal and fractional operators. Selected papers based on the presentations at the international workshop, Rome, Italy, April 12–13, 2019. Cham: Springer. SEMA SIMAI Springer Ser. 26, 275-286 (2021). MSC: 60K50 60K37 PDFBibTeX XMLCite \textit{V. Sposini} et al., SEMA SIMAI Springer Ser. 26, 275--286 (2021; Zbl 1468.60127) Full Text: DOI Link
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
Trucchia, A.; Egorova, V.; Pagnini, G.; Rochoux, M. C. On the merits of sparse surrogates for global sensitivity analysis of multi-scale nonlinear problems: application to turbulence and fire-spotting model in wildland fire simulators. (English) Zbl 1464.62359 Commun. Nonlinear Sci. Numer. Simul. 73, 120-145 (2019). MSC: 62K99 62P12 35F20 35F31 60G15 PDFBibTeX XMLCite \textit{A. Trucchia} et al., Commun. Nonlinear Sci. Numer. Simul. 73, 120--145 (2019; Zbl 1464.62359) Full Text: DOI Link
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
Mentrelli, Andrea; Pagnini, Gianni Modelling and simulation of wildland fire in the framework of the level set method. (English) Zbl 1388.76434 Ric. Mat. 65, No. 2, 523-533 (2016). MSC: 76V05 76M20 35K57 60H25 80A25 PDFBibTeX XMLCite \textit{A. Mentrelli} and \textit{G. Pagnini}, Ric. Mat. 65, No. 2, 523--533 (2016; Zbl 1388.76434) Full Text: DOI Link
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
Kaur, Inderpreet; Mentrelli, Andrea; Bosseur, Frederic; Filippi, Jean Baptiste; Pagnini, Gianni Wildland fire propagation modelling: A novel approach reconciling models based on moving interface methods and on reaction-diffusion equations. (English) Zbl 1363.93030 Brandts, J. (ed.) et al., Proceedings of the international conference ‘Applications of mathematics’, Prague, Czech Republic, November 18–21, 2015. In honor of the birthday anniversaries of Ivo Babuška (90), Milan Práger (85), and Emil Vitásek (85). Prague: Czech Academy of Sciences, Institute of Mathematics (ISBN 978-80-85823-65-3). 85-99 (2015). Reviewer: Jan Šembera (Liberec) MSC: 93A30 93C95 93E03 60J60 62P12 60K37 62P30 PDFBibTeX XMLCite \textit{I. Kaur} et al., in: Proceedings of the international conference `Applications of mathematics', Prague, Czech Republic, November 18--21, 2015. In honor of the birthday anniversaries of Ivo Babuška (90), Milan Práger (85), and Emil Vitásek (85). Prague: Czech Academy of Sciences, Institute of Mathematics. 85--99 (2015; Zbl 1363.93030) Full Text: Link
Mentrelli, Andrea; Pagnini, Gianni Front propagation in anomalous diffusive media governed by time-fractional diffusion. (English) Zbl 1349.35404 J. Comput. Phys. 293, 427-441 (2015). MSC: 35R11 35K57 60G22 60J60 PDFBibTeX XMLCite \textit{A. Mentrelli} and \textit{G. Pagnini}, J. Comput. Phys. 293, 427--441 (2015; Zbl 1349.35404) Full Text: DOI Link
Pagnini, Gianni Fire spotting effects in wildland fire propagation. (English) Zbl 1328.35340 Casas, Fernando (ed.) et al., Advances in differential equations and applications. Selected contributions given at the 23rd congress on differential equations and applications, CEDYA/13th congress of applied mathematics, CMA, September 9–13, 2013. Cham: Springer (ISBN 978-3-319-06952-4/hbk; 978-3-319-06953-1/ebook). SEMA SIMAI Springer Series 4, 203-214 (2015). MSC: 35R60 60H30 80A25 PDFBibTeX XMLCite \textit{G. Pagnini}, SEMA SIMAI Springer Ser. 4, 203--214 (2015; Zbl 1328.35340) Full Text: DOI
Mentrelli, Andrea; Pagnini, Gianni Random front propagation in fractional diffusive systems. (English) Zbl 1338.60110 Commun. Appl. Ind. Math. 6, No. 2, Article ID 504, 19 p. (2014). MSC: 60G22 60J60 60K37 35F21 65M08 65C99 PDFBibTeX XMLCite \textit{A. Mentrelli} and \textit{G. Pagnini}, Commun. Appl. Ind. Math. 6, No. 2, Article ID 504, 19 p. (2014; Zbl 1338.60110)
Pagnini, Gianni (ed.); Scalas, Enrico (ed.) Guest editorial: Fractional calculus, probability and non-local operators: applications and recent developments. I. (English) Zbl 1329.00226 Commun. Appl. Ind. Math. 6, No. 1, Article ID 495, 4 p. (2014). MSC: 00B25 26-06 60-06 26A33 60G50 PDFBibTeX XMLCite \textit{G. Pagnini} (ed.) and \textit{E. Scalas} (ed.), Commun. Appl. Ind. Math. 6, No. 1, Article ID 495, 4 p. (2014; Zbl 1329.00226)
Pagnini, Gianni; Mura, Antonio; Mainardi, Francesco Two-particle anomalous diffusion: probability density functions and self-similar stochastic processes. (English) Zbl 1339.60116 Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 371, No. 1990, Article ID 20120154, 11 p. (2013). MSC: 60J60 60G18 60G22 60G51 60G52 PDFBibTeX XMLCite \textit{G. Pagnini} et al., Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 371, No. 1990, Article ID 20120154, 11 p. (2013; Zbl 1339.60116) Full Text: DOI
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; Mura, Antonio; Mainardi, Francesco Generalized fractional master equation for self-similar stochastic processes modelling anomalous diffusion. (English) Zbl 1260.60163 Int. J. Stoch. Anal. 2012, Article ID 427383, 14 p. (2012). MSC: 60J60 60G18 60G22 PDFBibTeX XMLCite \textit{G. Pagnini} et al., Int. J. Stoch. Anal. 2012, Article ID 427383, 14 p. (2012; Zbl 1260.60163) Full Text: DOI
Mainardi, Francesco; Mura, Antonio; Pagnini, Gianni The functions of the Wright type in fractional calculus. (English) Zbl 1216.26004 Cialdea, Alberto (ed.) et al., Proceedings of the 4th workshop on advanced special functions and solutions of PDE’s, Sabaudia, Italy, May 25–27, 2009. On the occasion of Paolo Emilio Ricci’s retirement. Potenza: Università degli Studi della Basilicata, Dipartimento di Matematica (ISBN 978-88-902965-8-1/pbk). Lecture Notes of Seminario Interdisciplinare di Matematica 9, 111-128 (2010). MSC: 26A33 33E12 44A10 45K05 60G52 PDFBibTeX XMLCite \textit{F. Mainardi} et al., Lect. Notes Semin. Interdiscip. Mat. 9, 111--128 (2010; Zbl 1216.26004)
Mainardi, Francesco; Mura, Antonio; Pagnini, Gianni The \(M\)-Wright function in time-fractional diffusion processes: a tutorial survey. (English) Zbl 1222.60060 Int. J. Differ. Equ. 2010, Article ID 104505, 29 p. (2010). MSC: 60J60 26A33 60G17 35R11 PDFBibTeX XMLCite \textit{F. Mainardi} et al., Int. J. Differ. Equ. 2010, Article ID 104505, 29 p. (2010; Zbl 1222.60060) Full Text: DOI arXiv EuDML
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 Some aspects of fractional diffusion equations of single and distributed order. (English) Zbl 1122.26004 Appl. Math. Comput. 187, No. 1, 295-305 (2007). Reviewer: K. C. Gupta (Jaipur) MSC: 26A33 45K05 60G18 60J60 PDFBibTeX XMLCite \textit{F. Mainardi} et al., Appl. Math. Comput. 187, No. 1, 295--305 (2007; Zbl 1122.26004) Full Text: DOI arXiv
Mainardi, F.; Pagnini, G.; Gorenflo, R. Mellin convolution for subordinated stable processes. (English) Zbl 1411.60026 J. Math. Sci., New York 132, No. 5, 637-642 (2006). MSC: 60E07 60E10 PDFBibTeX XMLCite \textit{F. Mainardi} et al., J. Math. Sci., New York 132, No. 5, 637--642 (2006; Zbl 1411.60026) Full Text: DOI
Mainardi, Francesco; Pagnini, Gianni; Saxena, R. K. Fox \(H\) functions in fractional diffusion. (English) Zbl 1061.33012 J. Comput. Appl. Math. 178, No. 1-2, 321-331 (2005). MSC: 33C60 33C20 33E12 33E20 33E30 26A33 44A15 60G18 60J60 PDFBibTeX XMLCite \textit{F. Mainardi} et al., J. Comput. Appl. Math. 178, No. 1--2, 321--331 (2005; Zbl 1061.33012) Full Text: DOI
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
Gorenflo, Rudolf; Mainardi, Francesco; Moretti, Daniele; Pagnini, Gianni; Paradisi, Paolo Fractional diffusion: probability distributions and random walk models. (English) Zbl 0986.82037 Physica A 305, No. 1-2, 106-112 (2002). MSC: 82B41 76R50 60G50 35K57 PDFBibTeX XMLCite \textit{R. Gorenflo} et al., Physica A 305, No. 1--2, 106--112 (2002; Zbl 0986.82037) Full Text: DOI