Yang, Jiye; Li, Yuqing; Liu, Zhiyong A finite difference/Kansa method for the two-dimensional time and space fractional Bloch-Torrey equation. (English) Zbl 07801626 Comput. Math. Appl. 156, 1-15 (2024). MSC: 65-XX 81-XX PDFBibTeX XMLCite \textit{J. Yang} et al., Comput. Math. Appl. 156, 1--15 (2024; Zbl 07801626) Full Text: DOI
Lin, Guoxing Describing NMR chemical exchange by effective phase diffusion approach. (English) Zbl 1522.81784 Commun. Nonlinear Sci. Numer. Simul. 125, Article ID 107402, 17 p. (2023). MSC: 81V55 PDFBibTeX XMLCite \textit{G. Lin}, Commun. Nonlinear Sci. Numer. Simul. 125, Article ID 107402, 17 p. (2023; Zbl 1522.81784) 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
Rasouli, S. M. M.; Jalalzadeh, S.; Moniz, P. V. Broadening quantum cosmology with a fractional whirl. (English) Zbl 1467.83020 Mod. Phys. Lett. A 36, No. 14, Article ID 2140005, 14 p. (2021). MSC: 83F05 35Q41 35R11 81Q05 PDFBibTeX XMLCite \textit{S. M. M. Rasouli} et al., Mod. Phys. Lett. A 36, No. 14, Article ID 2140005, 14 p. (2021; Zbl 1467.83020) Full Text: DOI arXiv
Dong, Jianping; Lu, Ying Infinite wall in the fractional quantum mechanics. (English) Zbl 1461.81030 J. Math. Phys. 62, No. 3, Article ID 032104, 13 p. (2021). MSC: 81Q05 35R11 47B06 81S40 46F10 12F20 35P05 PDFBibTeX XMLCite \textit{J. Dong} and \textit{Y. Lu}, J. Math. Phys. 62, No. 3, Article ID 032104, 13 p. (2021; Zbl 1461.81030) Full Text: DOI
Emamirad, Hassan; Rougirel, Arnaud Feynman path formula for the time fractional Schrödinger equation. (English) Zbl 1451.35150 Discrete Contin. Dyn. Syst., Ser. S 13, No. 12, 3391-3400 (2020). MSC: 35Q41 81Q30 26A33 PDFBibTeX XMLCite \textit{H. Emamirad} and \textit{A. Rougirel}, Discrete Contin. Dyn. Syst., Ser. S 13, No. 12, 3391--3400 (2020; Zbl 1451.35150) Full Text: DOI
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
Lenzi, E. K.; de Castro, A. S. M.; Mendes, R. S. Time dependent solutions for fractional coupled Schrödinger equations. (English) Zbl 1428.35664 Appl. Math. Comput. 346, 622-632 (2019). MSC: 35R11 35Q41 81Q05 PDFBibTeX XMLCite \textit{E. K. Lenzi} et al., Appl. Math. Comput. 346, 622--632 (2019; Zbl 1428.35664) Full Text: DOI
Baumann, Gerd; Stenger, Frank Fractional Fokker-Planck equation. (English) Zbl 1365.65028 Mathematics 5, No. 1, Paper No. 12, 19 p. (2017). MSC: 65D05 65D30 44A35 81-04 35Q84 35R11 PDFBibTeX XMLCite \textit{G. Baumann} and \textit{F. Stenger}, Mathematics 5, No. 1, Paper No. 12, 19 p. (2017; Zbl 1365.65028) Full Text: DOI
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
Herrmann, Richard Reflection symmetric Erdélyi-Kober type operators – a quasi-particle interpretation. (English) Zbl 1312.26014 Fract. Calc. Appl. Anal. 17, No. 4, 1215-1228 (2014). MSC: 26A33 81Q60 81Q35 37N20 PDFBibTeX XMLCite \textit{R. Herrmann}, Fract. Calc. Appl. Anal. 17, No. 4, 1215--1228 (2014; Zbl 1312.26014) Full Text: DOI arXiv
Dong, Jianping Fractional Green’s function for the time-dependent scattering problem in the space-time-fractional quantum mechanics. (English) Zbl 1308.81075 Int. J. Theor. Phys. 53, No. 12, 4065-4078 (2014). MSC: 81Q05 35R11 35J08 81U05 35P25 PDFBibTeX XMLCite \textit{J. Dong}, Int. J. Theor. Phys. 53, No. 12, 4065--4078 (2014; Zbl 1308.81075) Full Text: DOI arXiv
Sandev, Trifce; Petreska, Irina; Lenzi, Ervin K. Time-dependent Schrödinger-like equation with nonlocal term. (English) Zbl 1297.81078 J. Math. Phys. 55, No. 9, 092105, 10 p. (2014). MSC: 81Q05 35Q41 34B27 34F05 60J60 PDFBibTeX XMLCite \textit{T. Sandev} et al., J. Math. Phys. 55, No. 9, 092105, 10 p. (2014; Zbl 1297.81078) Full Text: DOI
Achar, B. N. Narahari; Yale, Bradley T.; Hanneken, John W. Time fractional Schrödinger equation revisited. (English) Zbl 1292.81031 Adv. Math. Phys. 2013, Article ID 290216, 11 p. (2013). MSC: 81Q05 35R11 81S40 26A33 PDFBibTeX XMLCite \textit{B. N. N. Achar} et al., Adv. Math. Phys. 2013, Article ID 290216, 11 p. (2013; Zbl 1292.81031) Full Text: DOI
Lenzi, E. K.; Ribeiro, H. V.; dos Santos, M. A. F.; Rossato, R.; Mendes, R. S. Time dependent solutions for a fractional Schrödinger equation with delta potentials. (English) Zbl 1284.81118 J. Math. Phys. 54, No. 8, 082107, 8 p. (2013). MSC: 81Q05 35Q41 35R11 35J08 PDFBibTeX XMLCite \textit{E. K. Lenzi} et al., J. Math. Phys. 54, No. 8, 082107, 8 p. (2013; Zbl 1284.81118) Full Text: DOI Link
Friot, Samuel; Greynat, David On convergent series representations of Mellin-Barnes integrals. (English) Zbl 1274.81169 J. Math. Phys. 53, No. 2, 023508, 45 p. (2012). MSC: 81T15 81T18 81T10 81V25 30D10 PDFBibTeX XMLCite \textit{S. Friot} and \textit{D. Greynat}, J. Math. Phys. 53, No. 2, 023508, 45 p. (2012; Zbl 1274.81169) Full Text: DOI arXiv
Hu, Ming-Sheng; Agarwal, Ravi P.; Yang, Xiao-Jun Local fractional Fourier series with application to wave equation in fractal vibrating string. (English) Zbl 1257.35193 Abstr. Appl. Anal. 2012, Article ID 567401, 15 p. (2012). MSC: 35R11 33E12 81Q35 PDFBibTeX XMLCite \textit{M.-S. Hu} et al., Abstr. Appl. Anal. 2012, Article ID 567401, 15 p. (2012; Zbl 1257.35193) Full Text: DOI
Hatzinikitas, Agapitos N. The weakly coupled fractional one-dimensional Schrödinger operator with index \(1 < \alpha \leq 2\). (English) Zbl 1314.81070 J. Math. Phys. 51, No. 12, 123523, 12 p. (2010). MSC: 81Q05 81Q10 34L40 34A08 34B37 34E05 PDFBibTeX XMLCite \textit{A. N. Hatzinikitas}, J. Math. Phys. 51, No. 12, 123523, 12 p. (2010; Zbl 1314.81070) Full Text: DOI arXiv
Lenzi, E. K.; Ribeiro, H. V.; Mukai, H.; Mendes, R. S. Continuous-time random walk as a guide to fractional Schrödinger equation. (English) Zbl 1309.81078 J. Math. Phys. 51, No. 9, 092102, 7 p. (2010). MSC: 81Q05 81P20 60G50 35K57 PDFBibTeX XMLCite \textit{E. K. Lenzi} et al., J. Math. Phys. 51, No. 9, 092102, 7 p. (2010; Zbl 1309.81078) Full Text: DOI Link
Muslih, Sami I.; Agrawal, Om P.; Baleanu, Dumitru A fractional Schrödinger equation and its solution. (English) Zbl 1197.81126 Int. J. Theor. Phys. 49, No. 8, 1746-1752 (2010). MSC: 81Q05 26A33 35R11 70H03 49S05 PDFBibTeX XMLCite \textit{S. I. Muslih} et al., Int. J. Theor. Phys. 49, No. 8, 1746--1752 (2010; Zbl 1197.81126) Full Text: DOI
Lenzi, E. K.; de Oliveira, B. F.; da Silva, L. R.; Evangelista, L. R. Solutions for a Schrödinger equation with a nonlocal term. (English) Zbl 1153.81390 J. Math. Phys. 49, No. 3, 032108, 8 p. (2008). MSC: 81Q05 PDFBibTeX XMLCite \textit{E. K. Lenzi} et al., J. Math. Phys. 49, No. 3, 032108, 8 p. (2008; Zbl 1153.81390) Full Text: DOI
Dong, Jianping; Xu, Mingyu Space-time fractional Schrödinger equation with time-independent potentials. (English) Zbl 1140.81357 J. Math. Anal. Appl. 344, No. 2, 1005-1017 (2008). MSC: 81Q05 26A33 47B06 PDFBibTeX XMLCite \textit{J. Dong} and \textit{M. Xu}, J. Math. Anal. Appl. 344, No. 2, 1005--1017 (2008; Zbl 1140.81357) Full Text: DOI