Tomovski, Živorad; Metzler, Ralf; Gerhold, Stefan Fractional characteristic functions, and a fractional calculus approach for moments of random variables. (English) Zbl 1503.26013 Fract. Calc. Appl. Anal. 25, No. 4, 1307-1323 (2022). MSC: 26A33 60E10 33E12 44A10 44A20 PDFBibTeX XMLCite \textit{Ž. Tomovski} et al., Fract. Calc. Appl. Anal. 25, No. 4, 1307--1323 (2022; Zbl 1503.26013) 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
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
Pagnini, Gianni; Vitali, Silvia Should I stay or should I go? Zero-size jumps in random walks for Lévy flights. (English) Zbl 1474.60124 Fract. Calc. Appl. Anal. 24, No. 1, 137-167 (2021). MSC: 60G50 60J60 60J25 PDFBibTeX XMLCite \textit{G. Pagnini} and \textit{S. Vitali}, Fract. Calc. Appl. Anal. 24, No. 1, 137--167 (2021; Zbl 1474.60124) Full Text: DOI arXiv
Bardaro, Carlo; Butzer, Paul L.; Mantellini, Ilaria; Schmeisser, Gerhard Development of a new concept of polar analytic functions useful in Mellin analysis. (English) Zbl 1428.30003 Complex Var. Elliptic Equ. 64, No. 12, 2040-2062 (2019). MSC: 30B10 30E20 30C20 PDFBibTeX XMLCite \textit{C. Bardaro} et al., Complex Var. Elliptic Equ. 64, No. 12, 2040--2062 (2019; Zbl 1428.30003) Full Text: DOI
Barnes, Benedict Polynomial integral transform for solving differential equations. (English) Zbl 1364.34006 Eur. J. Pure Appl. Math. 9, No. 2, 140-151 (2016). MSC: 34A05 34A30 44A99 PDFBibTeX XMLCite \textit{B. Barnes}, Eur. J. Pure Appl. Math. 9, No. 2, 140--151 (2016; Zbl 1364.34006) Full Text: Link
Mathai, A. M.; Haubold, H. J. Matrix-variate statistical distributions and fractional calculus. (English) Zbl 1273.15041 Fract. Calc. Appl. Anal. 14, No. 1, 138-155 (2011). MSC: 15B52 62E15 15A15 26A33 33C60 33E12 44A20 PDFBibTeX XMLCite \textit{A. M. Mathai} and \textit{H. J. Haubold}, Fract. Calc. Appl. Anal. 14, No. 1, 138--155 (2011; Zbl 1273.15041) Full Text: DOI arXiv
Haubold, H. J.; Mathai, A. M.; Saxena, R. K. Mittag-Leffler functions and their applications. (English) Zbl 1218.33021 J. Appl. Math. 2011, Article ID 298628, 51 p. (2011). MSC: 33E12 PDFBibTeX XMLCite \textit{H. J. Haubold} et al., J. Appl. Math. 2011, Article ID 298628, 51 p. (2011; Zbl 1218.33021) Full Text: DOI arXiv
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