Gorenflo, Rudolf; Mainardi, Francesco On the fractional Poisson process and the discretized stable subordinator. (English) Zbl 1415.60051 Axioms 4, No. 3, 321-344 (2015). MSC: 60G55 60G22 60K05 PDFBibTeX XMLCite \textit{R. Gorenflo} and \textit{F. Mainardi}, Axioms 4, No. 3, 321--344 (2015; Zbl 1415.60051) Full Text: DOI arXiv
Garra, Roberto; Gorenflo, Rudolf; Polito, Federico; Tomovski, Živorad Hilfer-Prabhakar derivatives and some applications. (English) Zbl 1334.26008 Appl. Math. Comput. 242, 576-589 (2014). MSC: 26A33 PDFBibTeX XMLCite \textit{R. Garra} et al., Appl. Math. Comput. 242, 576--589 (2014; Zbl 1334.26008) Full Text: DOI arXiv
Gorenflo, Rudolf; Luchko, Yuri; Stojanović, Mirjana Fundamental solution of a distributed order time-fractional diffusion-wave equation as probability density. (English) Zbl 1312.35179 Fract. Calc. Appl. Anal. 16, No. 2, 297-316 (2013). MSC: 35R11 33E12 35S10 45K05 PDFBibTeX XMLCite \textit{R. Gorenflo} et al., Fract. Calc. Appl. Anal. 16, No. 2, 297--316 (2013; Zbl 1312.35179) Full Text: DOI
Stojanović, Mirjana; Gorenflo, Rudolf Nonlinear two-term time fractional diffusion-wave problem. (English) Zbl 1203.35289 Nonlinear Anal., Real World Appl. 11, No. 5, 3512-3523 (2010). MSC: 35R11 35D40 26A33 PDFBibTeX XMLCite \textit{M. Stojanović} and \textit{R. Gorenflo}, Nonlinear Anal., Real World Appl. 11, No. 5, 3512--3523 (2010; Zbl 1203.35289) Full Text: DOI
Gorenflo, Rudolf; Mainardi, Francesco Some recent advances in theory and simulation of fractional diffusion processes. (English) Zbl 1166.45004 J. Comput. Appl. Math. 229, No. 2, 400-415 (2009). MSC: 45K05 26A33 60G18 60G50 60G51 60J60 PDFBibTeX XMLCite \textit{R. Gorenflo} and \textit{F. Mainardi}, J. Comput. Appl. Math. 229, No. 2, 400--415 (2009; Zbl 1166.45004) 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
Abdel-Rehim, E. A.; Gorenflo, R. Simulation of the continuous time random walk of the space-fractional diffusion equations. (English) Zbl 1153.65007 J. Comput. Appl. Math. 222, No. 2, 274-283 (2008). MSC: 65C30 26A33 45K05 60J60 60G50 60G15 60H15 60H35 PDFBibTeX XMLCite \textit{E. A. Abdel-Rehim} and \textit{R. Gorenflo}, J. Comput. Appl. Math. 222, No. 2, 274--283 (2008; Zbl 1153.65007) Full Text: DOI
Gorenflo, Rudolf; Mainardi, Francesco; Vivoli, Alessandro Continuous-time random walk and parametric subordination in fractional diffusion. (English) Zbl 1142.82363 Chaos Solitons Fractals 34, No. 1, 87-103 (2007). MSC: 82C41 82C70 PDFBibTeX XMLCite \textit{R. Gorenflo} et al., Chaos Solitons Fractals 34, No. 1, 87--103 (2007; Zbl 1142.82363) Full Text: DOI arXiv
Mainardi, Francesco; Mura, Antonio; Gorenfloh, Rudolf; Stojanović, Mirjana The two forms of fractional relaxation of distributed order. (English) Zbl 1165.26302 J. Vib. Control 13, No. 9-10, 1249-1268 (2007). MSC: 26A33 PDFBibTeX XMLCite \textit{F. Mainardi} et al., J. Vib. Control 13, No. 9--10, 1249--1268 (2007; Zbl 1165.26302) Full Text: DOI arXiv
Gorenflo, R.; Abdel-Rehim, E. A. Convergence of the Grünwald-Letnikov scheme for time-fractional diffusion. (English) Zbl 1127.65100 J. Comput. Appl. Math. 205, No. 2, 871-881 (2007). Reviewer: Pat Lumb (Chester) MSC: 65R20 60J60 26A33 60G50 65M06 45K05 65M12 PDFBibTeX XMLCite \textit{R. Gorenflo} and \textit{E. A. Abdel-Rehim}, J. Comput. Appl. Math. 205, No. 2, 871--881 (2007; Zbl 1127.65100) Full Text: DOI
Mainardi, Francesco; Gorenflo, Rudolf; Vivoli, Alessandro Beyond the Poisson renewal process: a tutorial survey. (English) Zbl 1115.60082 J. Comput. Appl. Math. 205, No. 2, 725-735 (2007). MSC: 60K05 60K25 26A33 33E12 45K05 47G30 60G50 60G51 60G55 PDFBibTeX XMLCite \textit{F. Mainardi} et al., J. Comput. Appl. Math. 205, No. 2, 725--735 (2007; Zbl 1115.60082) Full Text: DOI
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
Gorenflo, R.; Vivoli, A.; Mainardi, F. Discrete and continuous random walk models for space-time fractional diffusion. (English) Zbl 1411.60052 J. Math. Sci., New York 132, No. 5, 614-628 (2006). MSC: 60G15 60G50 60J27 PDFBibTeX XMLCite \textit{R. Gorenflo} et al., J. Math. Sci., New York 132, No. 5, 614--628 (2006; Zbl 1411.60052) Full Text: DOI
Gorenflo, Rudolf; Vivoli, Alessandro; Mainardi, Francesco Discrete and continuous random walk models for space-time fractional diffusion. (English) Zbl 1125.76067 Nonlinear Dyn. 38, No. 1-4, 101-116 (2004). Reviewer: Gheorghe Oprişan (Bucureşti) MSC: 76R50 76M35 60J60 PDFBibTeX XMLCite \textit{R. Gorenflo} et al., Nonlinear Dyn. 38, No. 1--4, 101--116 (2004; Zbl 1125.76067) Full Text: DOI
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; Gorenflo, Rudolf On Mittag-Leffler-type functions in fractional evolution processes. (English) Zbl 0970.45005 J. Comput. Appl. Math. 118, No. 1-2, 283-299 (2000). Reviewer: Ismail Taqi Ali (Safat) MSC: 45J05 26A33 33E20 PDFBibTeX XMLCite \textit{F. Mainardi} and \textit{R. Gorenflo}, J. Comput. Appl. Math. 118, No. 1--2, 283--299 (2000; Zbl 0970.45005) Full Text: DOI