Dahlenburg, M.; Pagnini, G. Sturm-Liouville systems for the survival probability in first-passage time problems. arXiv:2311.12240 Preprint, arXiv:2311.12240 [cond-mat.stat-mech] (2023). BibTeX Cite \textit{M. Dahlenburg} and \textit{G. Pagnini}, ``Sturm-Liouville systems for the survival probability in first-passage time problems'', Preprint, arXiv:2311.12240 [cond-mat.stat-mech] (2023) Full Text: DOI arXiv OA License
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
Dahlenburg, M.; Pagnini, G. Exact calculation of the mean first-passage time of continuous-time random walks by nonhomogeneous Wiener-Hopf integral equations. (English) Zbl 07656774 J. Phys. A, Math. Theor. 55, No. 50, Article ID 505003, 19 p. (2022). MSC: 62-XX 82-XX PDFBibTeX XMLCite \textit{M. Dahlenburg} and \textit{G. Pagnini}, J. Phys. A, Math. Theor. 55, No. 50, Article ID 505003, 19 p. (2022; Zbl 07656774) Full Text: DOI arXiv
Egorova, Vera N.; Trucchia, Andrea; Pagnini, Gianni Fire-spotting generated fires. II: the role of flame geometry and slope. (English) Zbl 1505.86010 Appl. Math. Modelling 104, 1-20 (2022). MSC: 86A10 76E20 PDFBibTeX XMLCite \textit{V. N. Egorova} et al., Appl. Math. Modelling 104, 1--20 (2022; Zbl 1505.86010) Full Text: DOI
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
Runfola, Claudio; Vitali, Silvia; Pagnini, Gianni The Fokker-Planck equation of the superstatistical fractional Brownian motion with application to passive tracers inside cytoplasm. arXiv:2209.01167 Preprint, arXiv:2209.01167 [cond-mat.stat-mech] (2022). BibTeX Cite \textit{C. Runfola} et al., ``The Fokker-Planck equation of the superstatistical fractional Brownian motion with application to passive tracers inside cytoplasm'', Preprint, arXiv:2209.01167 [cond-mat.stat-mech] (2022) 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
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
Egorova, Vera N.; Trucchia, Andrea; Pagnini, Gianni Fire-spotting generated fires. I: The role of atmospheric stability. (English) Zbl 1481.86014 Appl. Math. Modelling 84, 590-609 (2020). MSC: 86A10 76E20 PDFBibTeX XMLCite \textit{V. N. Egorova} et al., Appl. Math. Modelling 84, 590--609 (2020; Zbl 1481.86014) Full Text: DOI
Górska, K.; Horzela, A.; Lenzi, E. K.; Pagnini, G.; Sandev, T. The generalized Cattaneo (telegrapher’s) equation and corresponding random walks. arXiv:2006.04796 Preprint, arXiv:2006.04796 [cond-mat.stat-mech] (2020). BibTeX Cite \textit{K. Górska} et al., ``The generalized Cattaneo (telegrapher's) equation and corresponding random walks'', Preprint, arXiv:2006.04796 [cond-mat.stat-mech] (2020) Full Text: DOI arXiv OA License
Sliusarenko, Oleksii Yu; Vitali, Silvia; Sposini, Vittoria; Paradisi, Paolo; Chechkin, Aleksei; Castellani, Gastone; Pagnini, Gianni Finite-energy Lévy-type motion through heterogeneous ensemble of Brownian particles. (English) Zbl 1505.81061 J. Phys. A, Math. Theor. 52, No. 9, Article ID 095601, 27 p. (2019). MSC: 81S25 PDFBibTeX XMLCite \textit{O. Y. Sliusarenko} et al., J. Phys. A, Math. Theor. 52, No. 9, Article ID 095601, 27 p. (2019; Zbl 1505.81061) 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
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
Kaur, Inderpreet; Mentrelli, Andrea; Bosseur, Frédéric; Filippi, Jean-Baptiste; Pagnini, Gianni Turbulence and fire-spotting effects into wild-land fire simulators. (English) Zbl 1461.76367 Commun. Nonlinear Sci. Numer. Simul. 39, 300-320 (2016). MSC: 76M99 76F80 76V05 80A25 86A10 PDFBibTeX XMLCite \textit{I. Kaur} et al., Commun. Nonlinear Sci. Numer. Simul. 39, 300--320 (2016; Zbl 1461.76367) Full Text: DOI arXiv Link
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
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; Scalas, Enrico Historical notes on the M-Wright/Mainardi function. (English) Zbl 1329.26004 Commun. Appl. Ind. Math. 6, No. 1, Article ID 496, 6 p. (2014). MSC: 26-03 01A70 26A33 33E20 PDFBibTeX XMLCite \textit{G. Pagnini} and \textit{E. Scalas}, Commun. Appl. Ind. Math. 6, No. 1, Article ID 496, 6 p. (2014; Zbl 1329.26004)
Pagnini, Gianni; Scalas, Enrico A short bio of Professor Francesco Mainardi. (English) Zbl 1329.01076 Commun. Appl. Ind. Math. 6, No. 1, Article ID 494, 3 p. (2014). MSC: 01A70 PDFBibTeX XMLCite \textit{G. Pagnini} and \textit{E. Scalas}, Commun. Appl. Ind. Math. 6, No. 1, Article ID 494, 3 p. (2014; Zbl 1329.01076)
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)
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; 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
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
Pagnini, Gianni; Strada, Susanna; Maurizi, Alberto; Tampieri, Francesco Lagrangian stochastic modelling for oil spills turbulent dispersion on ocean surface. (English) Zbl 1329.86011 Commun. Appl. Ind. Math. 1, No. 1, Article ID 480, 186-204 (2010). MSC: 86A05 76F25 PDFBibTeX XMLCite \textit{G. Pagnini} et al., Commun. Appl. Ind. Math. 1, No. 1, Article ID 480, 186--204 (2010; Zbl 1329.86011)
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
Pagnini, Gianni; Mainardi, Francesco Evolution equations for the probabilistic generalization of the Voigt profile function. (English) Zbl 1179.82008 J. Comput. Appl. Math. 233, No. 6, 1590-1595 (2010). MSC: 82B03 33E20 45K05 PDFBibTeX XMLCite \textit{G. Pagnini} and \textit{F. Mainardi}, J. Comput. Appl. Math. 233, No. 6, 1590--1595 (2010; Zbl 1179.82008) Full Text: DOI arXiv
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; 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)
Pagnini, Gianni Lagrangian stochastic models for turbulent relative dispersion based on particle pair rotation. (English) Zbl 1155.76034 J. Fluid Mech. 616, 357-395 (2008). MSC: 76F55 76F05 PDFBibTeX XMLCite \textit{G. Pagnini}, J. Fluid Mech. 616, 357--395 (2008; Zbl 1155.76034) Full Text: DOI
Mura, A.; Pagnini, G. Characterizations and simulations of a class of stochastic processes to model anomalous diffusion. (English) Zbl 1143.82028 J. Phys. A, Math. Theor. 41, No. 28, Article ID 285003, 22 p. (2008). MSC: 82D10 82C24 PDFBibTeX XMLCite \textit{A. Mura} and \textit{G. Pagnini}, J. Phys. A, Math. Theor. 41, No. 28, Article ID 285003, 22 p. (2008; Zbl 1143.82028) Full Text: DOI arXiv
Pagnini, G.; Saxena, R. K. A note on the Voigt profile function. arXiv:0805.2274 Preprint, arXiv:0805.2274 [math-ph] (2008). BibTeX Cite \textit{G. Pagnini} and \textit{R. K. Saxena}, ``A note on the Voigt profile function'', Preprint, arXiv:0805.2274 [math-ph] (2008) Full Text: arXiv OA License
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; 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
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 Salvatore Pincherle: the pioneer of the Mellin-Barnes integrals. (English) Zbl 1050.33018 J. Comput. Appl. Math. 153, No. 1-2, 331-342 (2003). Reviewer: Robert G. Buschman (Langlois) MSC: 33E30 33C20 33C60 01-XX PDFBibTeX XMLCite \textit{F. Mainardi} and \textit{G. Pagnini}, J. Comput. Appl. Math. 153, No. 1--2, 331--342 (2003; Zbl 1050.33018) Full Text: DOI arXiv
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