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
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
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
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 (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 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
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; 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)
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, 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 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)
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