Wang, Wanli; Barkai, Eli Fractional advection diffusion asymmetry equation, derivation, solution and application. (English) Zbl 07796337 J. Phys. A, Math. Theor. 57, No. 3, Article ID 035203, 32 p. (2024). MSC: 60-XX 82-XX PDFBibTeX XMLCite \textit{W. Wang} and \textit{E. Barkai}, J. Phys. A, Math. Theor. 57, No. 3, Article ID 035203, 32 p. (2024; Zbl 07796337) Full Text: DOI arXiv
Manzo, Carlo (ed.); Muñoz-Gil, Gorka (ed.); Volpe, Giovanni (ed.); Angel Garcia-March, Miguel (ed.); Lewenstein, Maciej (ed.); Metzler, Ralf (ed.) Preface: Characterisation of physical processes from anomalous diffusion data. (English) Zbl 07657031 J. Phys. A, Math. Theor. 56, No. 1, Article ID 010401, 6 p. (2023). MSC: 00Bxx 81-XX 82-XX PDFBibTeX XMLCite \textit{C. Manzo} (ed.) et al., J. Phys. A, Math. Theor. 56, No. 1, Article ID 010401, 6 p. (2023; Zbl 07657031) Full Text: DOI arXiv
Wang, Yibo; Du, Rui; Chai, Zhenhua Lattice Boltzmann model for time-fractional nonlinear wave equations. (English) Zbl 1499.65591 Adv. Appl. Math. Mech. 14, No. 4, 914-935 (2022). MSC: 65M75 82C40 35Q20 26A33 35R11 PDFBibTeX XMLCite \textit{Y. Wang} et al., Adv. Appl. Math. Mech. 14, No. 4, 914--935 (2022; Zbl 1499.65591) Full Text: DOI
Guo, Feng; Wang, Xue-yuan; Qin, Ming-wei; Luo, Xiang-dong; Wang, Jian-wei Resonance phenomenon for a nonlinear system with fractional derivative subject to multiplicative and additive noise. (English) Zbl 07542614 Physica A 562, Article ID 125243, 9 p. (2021). MSC: 82-XX PDFBibTeX XMLCite \textit{F. Guo} et al., Physica A 562, Article ID 125243, 9 p. (2021; Zbl 07542614) Full Text: DOI
dos Santos, Maike A. F.; Junior, Luiz Menon Random diffusivity models for scaled Brownian motion. (English) Zbl 1498.82017 Chaos Solitons Fractals 144, Article ID 110634, 9 p. (2021). MSC: 82C31 60J65 60G22 PDFBibTeX XMLCite \textit{M. A. F. dos Santos} and \textit{L. M. Junior}, Chaos Solitons Fractals 144, Article ID 110634, 9 p. (2021; Zbl 1498.82017) Full Text: DOI
Zan, Wanrong; Xu, Yong; Metzler, Ralf; Kurths, Jürgen First-passage problem for stochastic differential equations with combined parametric Gaussian and Lévy white noises via path integral method. (English) Zbl 07503736 J. Comput. Phys. 435, Article ID 110264, 20 p. (2021). MSC: 60Jxx 82Cxx 60Gxx PDFBibTeX XMLCite \textit{W. Zan} et al., J. Comput. Phys. 435, Article ID 110264, 20 p. (2021; Zbl 07503736) Full Text: DOI
Beghin, Luisa; Macci, Claudio; Martinucci, Barbara Random time-changes and asymptotic results for a class of continuous-time Markov chains on integers with alternating rates. (English) Zbl 1476.60057 Mod. Stoch., Theory Appl. 8, No. 1, 63-91 (2021). MSC: 60F10 60J27 60G22 60G52 82B41 PDFBibTeX XMLCite \textit{L. Beghin} et al., Mod. Stoch., Theory Appl. 8, No. 1, 63--91 (2021; Zbl 1476.60057) Full Text: DOI arXiv
Lenzi, E. K.; Evangelista, L. R. Space-time fractional diffusion equations in \(d\)-dimensions. (English) Zbl 1484.82044 J. Math. Phys. 62, No. 8, Article ID 083304, 8 p. (2021). MSC: 82C41 60K50 26A33 35R11 PDFBibTeX XMLCite \textit{E. K. Lenzi} and \textit{L. R. Evangelista}, J. Math. Phys. 62, No. 8, Article ID 083304, 8 p. (2021; Zbl 1484.82044) Full Text: DOI
Rodríguez-Rozas, Ángel; Acebrón, Juan A.; Spigler, Renato The PDD method for solving linear, nonlinear, and fractional PDEs problems. (English) Zbl 1498.65154 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, 239-273 (2021). MSC: 65M55 65N55 65C05 65D05 65Y05 65M25 35K58 35Q83 35Q53 26A33 35R11 82D10 35R60 PDFBibTeX XMLCite \textit{Á. Rodríguez-Rozas} et al., SEMA SIMAI Springer Ser. 26, 239--273 (2021; Zbl 1498.65154) Full Text: DOI
Capała, Karol; Dybiec, Bartłomiej Deterministic force-free resonant activation. (English) Zbl 07330573 J. Stat. Mech. Theory Exp. 2021, No. 2, Article ID 023203, 16 p. (2021). MSC: 82-XX PDFBibTeX XMLCite \textit{K. Capała} and \textit{B. Dybiec}, J. Stat. Mech. Theory Exp. 2021, No. 2, Article ID 023203, 16 p. (2021; Zbl 07330573) Full Text: DOI arXiv
Xu, Wei; Liang, Yingjie; Chen, Wen; Wang, Fajie Recent advances of stretched Gaussian distribution underlying Hausdorff fractal distance and its applications in fitting stretched Gaussian noise. (English) Zbl 07572452 Physica A 539, Article ID 122996, 18 p. (2020). MSC: 82-XX PDFBibTeX XMLCite \textit{W. Xu} et al., Physica A 539, Article ID 122996, 18 p. (2020; Zbl 07572452) Full Text: DOI
Buonocore, Salvatore; Sen, Mihir; Semperlotti, Fabio Stochastic scattering model of anomalous diffusion in arrays of steady vortices. (English) Zbl 1472.82033 Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 476, No. 2238, Article ID 20200183, 23 p. (2020). MSC: 82C70 PDFBibTeX XMLCite \textit{S. Buonocore} et al., Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 476, No. 2238, Article ID 20200183, 23 p. (2020; Zbl 1472.82033) Full Text: DOI Link
Ascione, Giacomo; Mishura, Yuliya; Pirozzi, Enrica Time-changed fractional Ornstein-Uhlenbeck process. (English) Zbl 1450.60030 Fract. Calc. Appl. Anal. 23, No. 2, 450-483 (2020). MSC: 60G22 26A33 35Q84 42A38 42B10 60H10 82C31 PDFBibTeX XMLCite \textit{G. Ascione} et al., Fract. Calc. Appl. Anal. 23, No. 2, 450--483 (2020; Zbl 1450.60030) Full Text: DOI arXiv
Bock, Wolfgang; da Silva, Jose Luis; Streit, Ludwig Fractional periodic processes: properties and an application of polymer form factors. (English) Zbl 1441.60028 Rep. Math. Phys. 85, No. 2, 267-280 (2020). MSC: 60G22 82D60 82C41 PDFBibTeX XMLCite \textit{W. Bock} et al., Rep. Math. Phys. 85, No. 2, 267--280 (2020; Zbl 1441.60028) Full Text: DOI arXiv
Abdel-Rehim, E. A. From the space-time fractional integral of the continuous time random walk to the space-time fractional diffusion equations, a short proof and simulation. (English) Zbl 07569409 Physica A 531, Article ID 121547, 10 p. (2019). MSC: 82-XX 26A33 35L05 60J60 45K05 47G30 33E20 65N06 60G52 PDFBibTeX XMLCite \textit{E. A. Abdel-Rehim}, Physica A 531, Article ID 121547, 10 p. (2019; Zbl 07569409) Full Text: DOI
Singh, Harendra; Srivastava, H. M. Jacobi collocation method for the approximate solution of some fractional-order Riccati differential equations with variable coefficients. (English) Zbl 07563443 Physica A 523, 1130-1149 (2019). MSC: 82-XX PDFBibTeX XMLCite \textit{H. Singh} and \textit{H. M. Srivastava}, Physica A 523, 1130--1149 (2019; Zbl 07563443) Full Text: DOI
Metzler, Ralf Brownian motion and beyond: first-passage, power spectrum, non-Gaussianity, and anomalous diffusion. (English) Zbl 1457.82343 J. Stat. Mech. Theory Exp. 2019, No. 11, Article ID 114003, 18 p. (2019). MSC: 82C40 60J60 PDFBibTeX XMLCite \textit{R. Metzler}, J. Stat. Mech. Theory Exp. 2019, No. 11, Article ID 114003, 18 p. (2019; Zbl 1457.82343) Full Text: DOI arXiv
dos Santos, Maike A. F. Analytic approaches of the anomalous diffusion: a review. (English) Zbl 1448.60193 Chaos Solitons Fractals 124, 86-96 (2019). MSC: 60K50 60-02 82C31 82C41 PDFBibTeX XMLCite \textit{M. A. F. dos Santos}, Chaos Solitons Fractals 124, 86--96 (2019; Zbl 1448.60193) Full Text: DOI arXiv
Liang, Yingjie; Chen, Wen; Xu, Wei; Sun, HongGuang Distributed order Hausdorff derivative diffusion model to characterize non-Fickian diffusion in porous media. (English) Zbl 1464.82017 Commun. Nonlinear Sci. Numer. Simul. 70, 384-393 (2019). MSC: 82C70 PDFBibTeX XMLCite \textit{Y. Liang} et al., Commun. Nonlinear Sci. Numer. Simul. 70, 384--393 (2019; Zbl 1464.82017) Full Text: DOI arXiv
Sposini, Vittoria; Chechkin, Aleksei; Metzler, Ralf First passage statistics for diffusing diffusivity. (English) Zbl 1422.82019 J. Phys. A, Math. Theor. 52, No. 4, Article ID 04LT01, 11 p. (2019). MSC: 82C24 60J60 60J70 PDFBibTeX XMLCite \textit{V. Sposini} et al., J. Phys. A, Math. Theor. 52, No. 4, Article ID 04LT01, 11 p. (2019; Zbl 1422.82019) Full Text: DOI arXiv
Zhou, H. W.; Yang, S.; Zhang, S. Q. Conformable derivative approach to anomalous diffusion. (English) Zbl 1514.60116 Physica A 491, 1001-1013 (2018). MSC: 60K50 60J70 82C70 PDFBibTeX XMLCite \textit{H. W. Zhou} et al., Physica A 491, 1001--1013 (2018; Zbl 1514.60116) Full Text: DOI
dos Santos, M. A. F.; Gomez, Ignacio S. A fractional Fokker-Planck equation for non-singular kernel operators. (English) Zbl 1457.82308 J. Stat. Mech. Theory Exp. 2018, No. 12, Article ID 123205, 13 p. (2018). MSC: 82C31 35R11 35Q84 PDFBibTeX XMLCite \textit{M. A. F. dos Santos} and \textit{I. S. Gomez}, J. Stat. Mech. Theory Exp. 2018, No. 12, Article ID 123205, 13 p. (2018; Zbl 1457.82308) Full Text: DOI arXiv
Sandev, Trifce; Deng, Weihua; Xu, Pengbo Models for characterizing the transition among anomalous diffusions with different diffusion exponents. (English) Zbl 1475.60151 J. Phys. A, Math. Theor. 51, No. 40, Article ID 405002, 22 p. (2018). MSC: 60J60 60G22 60G50 82C41 PDFBibTeX XMLCite \textit{T. Sandev} et al., J. Phys. A, Math. Theor. 51, No. 40, Article ID 405002, 22 p. (2018; Zbl 1475.60151) Full Text: DOI arXiv
Padrino, Juan C. On the self-similar, Wright-function exact solution for early-time, anomalous diffusion in random networks: comparison with numerical results. (English) Zbl 1400.82252 Int. J. Appl. Comput. Math. 4, No. 5, Paper No. 131, 10 p. (2018). MSC: 82C70 33E20 05C80 35R11 35R09 33C20 35R60 45K05 PDFBibTeX XMLCite \textit{J. C. Padrino}, Int. J. Appl. Comput. Math. 4, No. 5, Paper No. 131, 10 p. (2018; Zbl 1400.82252) Full Text: DOI
Lin, Guoxing Analysis of PFG anomalous diffusion via real-space and phase-space approaches. (English) Zbl 1459.78010 Mathematics 6, No. 2, Paper No. 17, 16 p. (2018). MSC: 78A55 78A70 78A60 82C41 92C55 26A33 33E12 35R11 35Q60 PDFBibTeX XMLCite \textit{G. Lin}, Mathematics 6, No. 2, Paper No. 17, 16 p. (2018; Zbl 1459.78010) Full Text: DOI
Nazé, Pierre From weakly chaotic dynamics to deterministic subdiffusion via copula modeling. (English) Zbl 1395.82227 J. Stat. Phys. 171, No. 3, 434-448 (2018). MSC: 82C70 37A60 37D45 60E05 PDFBibTeX XMLCite \textit{P. Nazé}, J. Stat. Phys. 171, No. 3, 434--448 (2018; Zbl 1395.82227) Full Text: DOI arXiv
Kelly, James F.; Li, Cheng-Gang; Meerschaert, Mark M. Anomalous diffusion with ballistic scaling: a new fractional derivative. (English) Zbl 06867150 J. Comput. Appl. Math. 339, 161-178 (2018). MSC: 35R11 26A33 60E07 60-02 82C31 PDFBibTeX XMLCite \textit{J. F. Kelly} et al., J. Comput. Appl. Math. 339, 161--178 (2018; Zbl 06867150) Full Text: DOI
Liemert, André; Kienle, Alwin Fractional radiative transport in the diffusion approximation. (English) Zbl 1386.82063 J. Math. Chem. 56, No. 2, 317-335 (2018). MSC: 82C70 PDFBibTeX XMLCite \textit{A. Liemert} and \textit{A. Kienle}, J. Math. Chem. 56, No. 2, 317--335 (2018; Zbl 1386.82063) Full Text: DOI
Kosztołowicz, Tadeusz; Lewandowska, K. D.; Klinkosz, T. How to identify absorption in a subdiffusive medium. (English) Zbl 1390.82054 Math. Model. Nat. Phenom. 12, No. 6, 118-129 (2017). MSC: 82C70 60G22 39A50 PDFBibTeX XMLCite \textit{T. Kosztołowicz} et al., Math. Model. Nat. Phenom. 12, No. 6, 118--129 (2017; Zbl 1390.82054) Full Text: DOI
Li, Lei; Liu, Jian-Guo; Lu, Jianfeng Fractional stochastic differential equations satisfying fluctuation-dissipation theorem. (English) Zbl 1386.82053 J. Stat. Phys. 169, No. 2, 316-339 (2017). MSC: 82C31 60H10 60G22 34A08 37A60 60H15 35R11 PDFBibTeX XMLCite \textit{L. Li} et al., J. Stat. Phys. 169, No. 2, 316--339 (2017; Zbl 1386.82053) Full Text: DOI arXiv
Liemert, André; Kienle, Alwin Radiative transport equation for the Mittag-Leffler path length distribution. (English) Zbl 1364.82054 J. Math. Phys. 58, No. 5, 053511, 15 p. (2017). MSC: 82C70 35R11 35J08 81V80 81R05 65C05 PDFBibTeX XMLCite \textit{A. Liemert} and \textit{A. Kienle}, J. Math. Phys. 58, No. 5, 053511, 15 p. (2017; Zbl 1364.82054) Full Text: DOI
Machida, Manabu The time-fractional radiative transport equation: Continuous-time random walk, diffusion approximation, and Legendre-polynomial expansion. (English) Zbl 1434.82080 J. Math. Phys. 58, No. 1, 013301, 12 p. (2017). Reviewer: Dazmir Shulaia (Tbilisi) MSC: 82C70 26A33 82C24 82C41 81T27 42C10 35R11 35R09 PDFBibTeX XMLCite \textit{M. Machida}, J. Math. Phys. 58, No. 1, 013301, 12 p. (2017; Zbl 1434.82080) Full Text: DOI arXiv
Liang, Yingjie; Chen, Wen; Magin, Richard L. Connecting complexity with spectral entropy using the Laplace transformed solution to the fractional diffusion equation. (English) Zbl 1400.82135 Physica A 453, 327-335 (2016). MSC: 82C05 35R11 PDFBibTeX XMLCite \textit{Y. Liang} et al., Physica A 453, 327--335 (2016; Zbl 1400.82135) Full Text: DOI
Taloni, Alessandro Kubo fluctuation relations in the generalized elastic model. (English) Zbl 1400.82202 Adv. Math. Phys. 2016, Article ID 7502472, 16 p. (2016). MSC: 82C31 35R09 35R11 60H10 PDFBibTeX XMLCite \textit{A. Taloni}, Adv. Math. Phys. 2016, Article ID 7502472, 16 p. (2016; Zbl 1400.82202) 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
Rostamy, D.; Qasemi, S. Discontinuous Petrov-Galerkin and Bernstein-Legendre polynomials method for solving fractional damped heat- and wave-like equations. (English) Zbl 07499223 J. Comput. Theor. Transp. 44, No. 1, 1-23 (2015). MSC: 82-XX PDFBibTeX XMLCite \textit{D. Rostamy} and \textit{S. Qasemi}, J. Comput. Theor. Transp. 44, No. 1, 1--23 (2015; Zbl 07499223) Full Text: DOI
Dieterich, Peter; Klages, Rainer; Chechkin, Aleksei V. Fluctuation relations for anomalous dynamics generated by time-fractional Fokker-Planck equations. (English) Zbl 1452.35239 New J. Phys. 17, No. 7, Article ID 075004, 14 p. (2015). MSC: 35R11 35Q84 82C31 PDFBibTeX XMLCite \textit{P. Dieterich} et al., New J. Phys. 17, No. 7, Article ID 075004, 14 p. (2015; Zbl 1452.35239) Full Text: DOI arXiv
Alotta, G.; Di Paola, M. Probabilistic characterization of nonlinear systems under \(\alpha\)-stable white noise via complex fractional moments. (English) Zbl 1398.60058 Physica A 420, 265-276 (2015). MSC: 60G22 60G51 82C31 PDFBibTeX XMLCite \textit{G. Alotta} and \textit{M. Di Paola}, Physica A 420, 265--276 (2015; Zbl 1398.60058) 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
Bologna, Mauro; Svenkeson, Adam; West, Bruce J.; Grigolini, Paolo Diffusion in heterogeneous media: an iterative scheme for finding approximate solutions to fractional differential equations with time-dependent coefficients. (English) Zbl 1349.82003 J. Comput. Phys. 293, 297-311 (2015). MSC: 82-08 65M99 82C80 35R11 PDFBibTeX XMLCite \textit{M. Bologna} et al., J. Comput. Phys. 293, 297--311 (2015; Zbl 1349.82003) 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
Chacón, L.; del-Castillo-Negrete, D.; Hauck, C. D. An asymptotic-preserving semi-Lagrangian algorithm for the time-dependent anisotropic heat transport equation. (English) Zbl 1349.82072 J. Comput. Phys. 272, 719-746 (2014). MSC: 82C80 65M80 82D10 PDFBibTeX XMLCite \textit{L. Chacón} et al., J. Comput. Phys. 272, 719--746 (2014; Zbl 1349.82072) Full Text: DOI
Svenkeson, A.; Beig, M. T.; Turalska, M.; West, B. J.; Grigolini, P. Fractional trajectories: decorrelation versus friction. (English) Zbl 1395.82120 Physica A 392, No. 22, 5663-5672 (2013). MSC: 82C03 34A08 92D40 PDFBibTeX XMLCite \textit{A. Svenkeson} et al., Physica A 392, No. 22, 5663--5672 (2013; Zbl 1395.82120) Full Text: DOI
Han, Jung Hun Gamma function to Beck-Cohen superstatistics. (English) Zbl 1395.33001 Physica A 392, No. 19, 4288-4298 (2013). MSC: 33B15 60E05 62E15 82B30 PDFBibTeX XMLCite \textit{J. H. Han}, Physica A 392, No. 19, 4288--4298 (2013; Zbl 1395.33001) Full Text: DOI
Zhang, Yun-Xiu; Gu, Hui; Liang, Jin-Rong Fokker-Planck type equations associated with subordinated processes controlled by tempered \(\alpha \)-stable processes. (English) Zbl 1276.82045 J. Stat. Phys. 152, No. 4, 742-752 (2013). MSC: 82C31 60J60 PDFBibTeX XMLCite \textit{Y.-X. Zhang} et al., J. Stat. Phys. 152, No. 4, 742--752 (2013; Zbl 1276.82045) Full Text: DOI
Hahn, Marjorie; Umarov, Sabir Fractional Fokker-Planck-Kolmogorov type equations and their associated stochastic differential equations. (English) Zbl 1273.35293 Fract. Calc. Appl. Anal. 14, No. 1, 56-79 (2011). MSC: 35R11 35-02 35R60 60H10 82C31 35Q84 PDFBibTeX XMLCite \textit{M. Hahn} and \textit{S. Umarov}, Fract. Calc. Appl. Anal. 14, No. 1, 56--79 (2011; Zbl 1273.35293) Full Text: DOI Link
Dybiec, Bartłomiej; Gudowska-Nowak, Ewa Subordinated diffusion and continuous time random walk asymptotics. (English) Zbl 1311.82037 Chaos 20, No. 4, 043129, 9 p. (2010). MSC: 82C31 60J60 60G50 PDFBibTeX XMLCite \textit{B. Dybiec} and \textit{E. Gudowska-Nowak}, Chaos 20, No. 4, 043129, 9 p. (2010; Zbl 1311.82037) Full Text: DOI arXiv
Wu, Chunhong; Lu, Linzhang Implicit numerical approximation scheme for the fractional Fokker-Planck equation. (English) Zbl 1196.82101 Appl. Math. Comput. 216, No. 7, 1945-1955 (2010). Reviewer: Bassano Vacchini (Milano) MSC: 82C31 82C80 PDFBibTeX XMLCite \textit{C. Wu} and \textit{L. Lu}, Appl. Math. Comput. 216, No. 7, 1945--1955 (2010; Zbl 1196.82101) Full Text: DOI
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
Abdel-Rehim, E. A. From the Ehrenfest model to time-fractional stochastic processes. (English) Zbl 1185.60048 J. Comput. Appl. Math. 233, No. 2, 197-207 (2009). Reviewer: Rudolf Gorenflo (Berlin) MSC: 60G50 26A33 45K05 60J60 65N06 82C41 82C80 PDFBibTeX XMLCite \textit{E. A. Abdel-Rehim}, J. Comput. Appl. Math. 233, No. 2, 197--207 (2009; Zbl 1185.60048) 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
Balescu, R. V-Langevin equations, continuous time random walks and fractional diffusion. (English) Zbl 1142.82356 Chaos Solitons Fractals 34, No. 1, 62-80 (2007). MSC: 82C31 PDFBibTeX XMLCite \textit{R. Balescu}, Chaos Solitons Fractals 34, No. 1, 62--80 (2007; Zbl 1142.82356) Full Text: DOI arXiv
Liu, Fawang; Anh, V.; Turner, I. Numerical solution of the space fractional Fokker-Planck equation. (English) Zbl 1036.82019 J. Comput. Appl. Math. 166, No. 1, 209-219 (2004). MSC: 82C31 26A33 PDFBibTeX XMLCite \textit{F. Liu} et al., J. Comput. Appl. Math. 166, No. 1, 209--219 (2004; Zbl 1036.82019) Full Text: DOI
Bazzani, Armando; Bassi, Gabriele; Turchetti, Giorgio Diffusion and memory effects for stochastic processes and fractional Langevin equations. (English) Zbl 1050.82029 Physica A 324, No. 3-4, 530-550 (2003). MSC: 82C31 82C70 60H15 PDFBibTeX XMLCite \textit{A. Bazzani} et al., Physica A 324, No. 3--4, 530--550 (2003; Zbl 1050.82029) 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