Arkashov, N. S. On the model of random walk with multiple memory structure. (English) Zbl 1528.60109 Physica A 603, Article ID 127795, 11 p. (2022). MSC: 60K50 PDFBibTeX XMLCite \textit{N. S. Arkashov}, Physica A 603, Article ID 127795, 11 p. (2022; Zbl 1528.60109) 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
Dipierro, Serena; Valdinoci, Enrico Description of an ecological niche for a mixed local/nonlocal dispersal: an evolution equation and a new Neumann condition arising from the superposition of Brownian and Lévy processes. (English) Zbl 1528.60037 Physica A 575, Article ID 126052, 20 p. (2021). MSC: 60G50 35Q92 92B05 PDFBibTeX XMLCite \textit{S. Dipierro} and \textit{E. Valdinoci}, Physica A 575, Article ID 126052, 20 p. (2021; Zbl 1528.60037) 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
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
Awad, Emad On the time-fractional Cattaneo equation of distributed order. (English) Zbl 1514.35454 Physica A 518, 210-233 (2019). MSC: 35R11 PDFBibTeX XMLCite \textit{E. Awad}, Physica A 518, 210--233 (2019; Zbl 1514.35454) Full Text: DOI
Costa, F. S.; Oliveira, D. S.; Rodrigues, F. G.; de Oliveira, E. C. The fractional space-time radial diffusion equation in terms of the Fox’s \(H\)-function. (English) Zbl 1514.35456 Physica A 515, 403-418 (2019). MSC: 35R11 26A33 26A48 PDFBibTeX XMLCite \textit{F. S. Costa} et al., Physica A 515, 403--418 (2019; Zbl 1514.35456) Full Text: DOI
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
Lin, Guoxing General PFG signal attenuation expressions for anisotropic anomalous diffusion by modified-Bloch equations. (English) Zbl 1514.92052 Physica A 497, 86-100 (2018). MSC: 92C55 35R11 PDFBibTeX XMLCite \textit{G. Lin}, Physica A 497, 86--100 (2018; Zbl 1514.92052) 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
Jizba, Petr; Korbel, Jan; Lavička, Hynek; Prokš, Martin; Svoboda, Václav; Beck, Christian Transitions between superstatistical regimes: validity, breakdown and applications. (English) Zbl 1524.62437 Physica A 493, 29-46 (2018). MSC: 62M10 PDFBibTeX XMLCite \textit{P. Jizba} et al., Physica A 493, 29--46 (2018; Zbl 1524.62437) Full Text: DOI arXiv
Želi, Velibor; Zorica, Dušan Analytical and numerical treatment of the heat conduction equation obtained via time-fractional distributed-order heat conduction law. (English) Zbl 1514.80002 Physica A 492, 2316-2335 (2018). MSC: 80A05 35Q79 35R11 80M20 PDFBibTeX XMLCite \textit{V. Želi} and \textit{D. Zorica}, Physica A 492, 2316--2335 (2018; Zbl 1514.80002) Full Text: DOI arXiv
Wei, Song; Chen, Wen; Hon, Y. C. Characterizing time dependent anomalous diffusion process: a survey on fractional derivative and nonlinear models. (English) Zbl 1400.65047 Physica A 462, 1244-1251 (2016). MSC: 65M06 35R11 76R50 80A10 PDFBibTeX XMLCite \textit{S. Wei} et al., Physica A 462, 1244--1251 (2016; Zbl 1400.65047) Full Text: DOI
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
Guo, Gang; Chen, Bin; Zhao, Xinjun; Zhao, Fang; Wang, Quanmin First passage time distribution of a modified fractional diffusion equation in the semi-infinite interval. (English) Zbl 1400.35219 Physica A 433, 279-290 (2015). MSC: 35R11 60H10 PDFBibTeX XMLCite \textit{G. Guo} et al., Physica A 433, 279--290 (2015; Zbl 1400.35219) Full Text: DOI
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
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
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
Qi, Haitao; Jiang, Xiaoyun Solutions of the space-time fractional Cattaneo diffusion equation. (English) Zbl 1225.35253 Physica A 390, No. 11, 1876-1883 (2011). MSC: 35R11 PDFBibTeX XMLCite \textit{H. Qi} and \textit{X. Jiang}, Physica A 390, No. 11, 1876--1883 (2011; Zbl 1225.35253) 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