Pagnini, Gianni; Runfola, Claudio Mellin definition of the fractional Laplacian. arXiv:2305.04251 Preprint, arXiv:2305.04251 [math.CA] (2023). MSC: 26A33 47G30 35S05 44A15 35R11 BibTeX Cite \textit{G. Pagnini} and \textit{C. Runfola}, ``Mellin definition of the fractional Laplacian'', Preprint, arXiv:2305.04251 [math.CA] (2023) Full Text: arXiv OA License
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
Egorova, Vera N.; Trucchia, Andrea; Pagnini, Gianni Physical parametrisation of fire-spotting for operational wildfire simulators. (English) Zbl 07431162 Asensio, María Isabel (ed.) et al., Applied mathematics for environmental problems. Selected papers based on the presentations of the mini-symposium at ICIAM 2019, Valencia, Spain, July 15–19, 2019. Cham: Springer. SEMA SIMAI Springer Ser. ICIAM 2019 SEMA SIMAI Springer Ser. 6, 21-38 (2021). MSC: 65-XX 35-XX 76-XX 92D40 PDFBibTeX XMLCite \textit{V. N. Egorova} et al., SEMA SIMAI Springer Ser. ICIAM 2019 SEMA SIMAI Springer Ser. 6, 21--38 (2021; Zbl 07431162) Full Text: DOI
Asensio, M. I.; Ferragut, L.; Álvarez, D.; Laiz, P.; Cascón, J. M.; Prieto, D.; Pagnini, G. PhyFire: an online GIS-integrated wildfire spread simulation tool based on a semiphysical model. (English) Zbl 07431161 Asensio, María Isabel (ed.) et al., Applied mathematics for environmental problems. Selected papers based on the presentations of the mini-symposium at ICIAM 2019, Valencia, Spain, July 15–19, 2019. Cham: Springer. SEMA SIMAI Springer Ser. ICIAM 2019 SEMA SIMAI Springer Ser. 6, 1-20 (2021). MSC: 65-XX 35-XX 76-XX 92D40 PDFBibTeX XMLCite \textit{M. I. Asensio} et al., SEMA SIMAI Springer Ser. ICIAM 2019 SEMA SIMAI Springer Ser. 6, 1--20 (2021; Zbl 07431161) Full Text: DOI
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
Cusimano, Nicole; del Teso, Félix; Gerardo-Giorda, Luca; Pagnini, Gianni Discretizations of the spectral fractional Laplacian on general domains with Dirichlet, Neumann, and Robin boundary conditions. (English) Zbl 1468.65138 SIAM J. Numer. Anal. 56, No. 3, 1243-1272 (2018). MSC: 65M60 26A33 35R11 47G20 65M15 PDFBibTeX XMLCite \textit{N. Cusimano} et al., SIAM J. Numer. Anal. 56, No. 3, 1243--1272 (2018; Zbl 1468.65138) 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
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
Pagnini, Gianni Short note on the emergence of fractional kinetics. (English) Zbl 1395.82216 Physica A 409, 29-34 (2014). MSC: 82C41 35R11 PDFBibTeX XMLCite \textit{G. Pagnini}, Physica A 409, 29--34 (2014; Zbl 1395.82216) Full Text: DOI arXiv Link
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 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; 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; Mura, Antonio; Pagnini, Gianni; Gorenflo, Rudolf Time-fractional diffusion of distributed order. (English) Zbl 1229.35118 J. Vib. Control 14, No. 9-10, 1267-1290 (2008). MSC: 35K57 26A33 PDFBibTeX XMLCite \textit{F. Mainardi} et al., J. Vib. Control 14, No. 9--10, 1267--1290 (2008; Zbl 1229.35118) Full Text: DOI arXiv
Mainardi, Francesco; Mura, Antonio; Pagnini, Gianni; Gorenflo, Rudolf Sub-diffusion equations of fractional order and their fundamental solutions. (English) Zbl 1135.35004 Taş, K. (ed.) et al., Mathematical methods in engineering. Selected papers of the international symposium, MME06, Ankara, Turkey, April 27–29, 2006. Dordrecht: Springer (ISBN 978-1-4020-5677-2/hbk; 978-1-4020-5678-9/e-book). 23-55 (2007). Reviewer: Messoud A. Efendiev (Berlin) MSC: 35A08 26A33 35C15 PDFBibTeX XMLCite \textit{F. Mainardi} et al., in: Mathematical methods in engineering. Selected papers of the international symposium, MME06, Ankara, Turkey, April 27--29, 2006. Dordrecht: Springer. 23--55 (2007; Zbl 1135.35004) Full Text: DOI
Mainardi, Francesco; Pagnini, Gianni The role of the Fox-Wright functions in fractional sub-diffusion of distributed order. (English) Zbl 1120.35002 J. Comput. Appl. Math. 207, No. 2, 245-257 (2007). MSC: 35A08 35A22 26A33 33E12 33C45 33C60 44A10 45K05 PDFBibTeX XMLCite \textit{F. Mainardi} and \textit{G. Pagnini}, J. Comput. Appl. Math. 207, No. 2, 245--257 (2007; Zbl 1120.35002) Full Text: DOI arXiv
Mainardi, Francesco; Pagnini, Gianni The Wright functions as solutions of the time-fractional diffusion equation. (English) Zbl 1053.35008 Appl. Math. Comput. 141, No. 1, 51-62 (2003). Reviewer: Ismail Taqi Ali (Safat) MSC: 35A22 26A33 35S10 PDFBibTeX XMLCite \textit{F. Mainardi} and \textit{G. Pagnini}, Appl. Math. Comput. 141, No. 1, 51--62 (2003; Zbl 1053.35008) Full Text: DOI
Mainardi, Francesco; Pagnini, Gianni The fundamental solutions of the time-fractional diffusion equation. (English) Zbl 1068.35038 Fabrizio, Mauro (ed.) et al., Mathematical models and methods for smart materials. Proceedings of the conference, Cortona, Italy, June 25–29, 2001. River Edge, NJ: World Scientific (ISBN 981-238-235-6/hbk). Ser. Adv. Math. Appl. Sci. 62, 207-224 (2002). Reviewer: Chaman Lal Koul (Jaipur) MSC: 35K15 26A33 35A22 35A08 PDFBibTeX XMLCite \textit{F. Mainardi} and \textit{G. Pagnini}, Ser. Adv. Math. Appl. Sci. 62, 207--224 (2002; Zbl 1068.35038)
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
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