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
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
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; 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 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; 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; 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