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
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
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
Tawfik, Ashraf M.; Fichtner, Horst; Elhanbaly, A.; Schlickeiser, Reinhard Analytical solution of the space-time fractional hyperdiffusion equation. (English) Zbl 1514.35473 Physica A 510, 178-187 (2018). MSC: 35R11 35Q84 85A30 PDFBibTeX XMLCite \textit{A. M. Tawfik} et al., Physica A 510, 178--187 (2018; Zbl 1514.35473) Full Text: DOI
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
Yang, Dan; Wang, JinRong; O’Regan, D. A class of nonlinear non-instantaneous impulsive differential equations involving parameters and fractional order. (English) Zbl 1426.34021 Appl. Math. Comput. 321, 654-671 (2018). MSC: 34A08 34A37 34G20 PDFBibTeX XMLCite \textit{D. Yang} et al., Appl. Math. Comput. 321, 654--671 (2018; Zbl 1426.34021) Full Text: DOI
Zhokh, Alexey A.; Trypolskyi, Andrey A.; Strizhak, Peter E. Application of the time-fractional diffusion equation to methyl alcohol mass transfer in silica. (English) Zbl 1448.76169 Babiarz, Artur (ed.) et al., Theory and applications of non-integer order systems. Papers of the 8th conference on non-integer order calculus and its applications, Zakopane, Poland, September 20–21, 2016. Cham: Springer. Lect. Notes Electr. Eng. 407, 501-510 (2017). MSC: 76S05 76R50 35R11 PDFBibTeX XMLCite \textit{A. A. Zhokh} et al., Lect. Notes Electr. Eng. 407, 501--510 (2017; Zbl 1448.76169) Full Text: DOI
Gholami, Saeid; Babolian, Esmail; Javidi, Mohammad Pseudospectral operational matrix for numerical solution of single and multiterm time fractional diffusion equation. (English) Zbl 1424.65186 Turk. J. Math. 40, No. 5, 1118-1133 (2016). MSC: 65M70 35R11 PDFBibTeX XMLCite \textit{S. Gholami} et al., Turk. J. Math. 40, No. 5, 1118--1133 (2016; Zbl 1424.65186) Full Text: DOI
Luchko, Yu. A new fractional calculus model for the two-dimensional anomalous diffusion and its analysis. (English) Zbl 1393.35280 Math. Model. Nat. Phenom. 11, No. 3, 1-17 (2016). MSC: 35R11 35C05 35E05 35L05 PDFBibTeX XMLCite \textit{Yu. Luchko}, Math. Model. Nat. Phenom. 11, No. 3, 1--17 (2016; Zbl 1393.35280) Full Text: DOI Link
Rodrigo, Marianito R. On fractional matrix exponentials and their explicit calculation. (English) Zbl 1347.15013 J. Differ. Equations 261, No. 7, 4223-4243 (2016). MSC: 15A16 26A33 65F60 PDFBibTeX XMLCite \textit{M. R. Rodrigo}, J. Differ. Equations 261, No. 7, 4223--4243 (2016; Zbl 1347.15013) Full Text: DOI
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
Wang, JinRong; Zhang, Yuruo Nonlocal initial value problems for differential equations with Hilfer fractional derivative. (English) Zbl 1410.34032 Appl. Math. Comput. 266, 850-859 (2015). MSC: 34A08 34B10 45G05 PDFBibTeX XMLCite \textit{J. Wang} and \textit{Y. Zhang}, Appl. Math. Comput. 266, 850--859 (2015; Zbl 1410.34032) Full Text: DOI
Fürstenberg, Florian; Dolgushev, Maxim; Blumen, Alexander Exploring the applications of fractional calculus: hierarchically built semiflexible polymers. (English) Zbl 1355.82063 Chaos Solitons Fractals 81, Part B, 527-533 (2015). MSC: 82D60 74H10 28A80 PDFBibTeX XMLCite \textit{F. Fürstenberg} et al., Chaos Solitons Fractals 81, Part B, 527--533 (2015; Zbl 1355.82063) Full Text: DOI
Paradisi, Paolo (ed.); Kaniadakis, Giorgio (ed.); Scarfone, Antonio Maria (ed.) The emergence of self-organization in complex systems – Preface. (English) Zbl 1355.00025 Chaos Solitons Fractals 81, Part B, 407-411 (2015). MSC: 00B15 82-06 PDFBibTeX XMLCite \textit{P. Paradisi} (ed.) et al., Chaos Solitons Fractals 81, Part B, 407--411 (2015; Zbl 1355.00025) Full Text: DOI
Stokes, Peter W.; Philippa, Bronson; Read, Wayne; White, Ronald D. Efficient numerical solution of the time fractional diffusion equation by mapping from its Brownian counterpart. (English) Zbl 1352.65268 J. Comput. Phys. 282, 334-344 (2015). MSC: 65M06 35R11 PDFBibTeX XMLCite \textit{P. W. Stokes} et al., J. Comput. Phys. 282, 334--344 (2015; Zbl 1352.65268) 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