Bouzeffour, Fethi; Jedidi, Wissem Fractional Riesz-Feller type derivative for the one dimensional Dunkl operator and Lipschitz condition. (English) Zbl 07788060 Integral Transforms Spec. Funct. 35, No. 1, 49-60 (2024). MSC: 26A33 42A38 33C67 PDFBibTeX XMLCite \textit{F. Bouzeffour} and \textit{W. Jedidi}, Integral Transforms Spec. Funct. 35, No. 1, 49--60 (2024; Zbl 07788060) Full Text: DOI
Hosseini, Vahid Reza; Rezazadeh, Arezou; Zheng, Hui; Zou, Wennan A nonlocal modeling for solving time fractional diffusion equation arising in fluid mechanics. (English) Zbl 1497.65204 Fractals 30, No. 5, Article ID 2240155, 21 p. (2022). Reviewer: Murli Gupta (Washington, D.C.) MSC: 65M99 26A33 35R11 42C10 41A58 76R50 PDFBibTeX XMLCite \textit{V. R. Hosseini} et al., Fractals 30, No. 5, Article ID 2240155, 21 p. (2022; Zbl 1497.65204) Full Text: DOI
Karimi, Milad; Zallani, Fatemeh; Sayevand, Khosro Wavelet regularization strategy for the fractional inverse diffusion problem. (English) Zbl 1486.65152 Numer. Algorithms 87, No. 4, 1679-1705 (2021). MSC: 65M32 65M30 65T60 65M12 41A25 35K05 42C40 65F22 35R25 26A33 35R11 PDFBibTeX XMLCite \textit{M. Karimi} et al., Numer. Algorithms 87, No. 4, 1679--1705 (2021; Zbl 1486.65152) Full Text: DOI
Jesus, Carla; Sousa, Ercília Numerical solutions for asymmetric Lévy flights. (English) Zbl 1476.65173 Numer. Algorithms 87, No. 3, 967-999 (2021). MSC: 65M06 65M12 65M80 60G51 60G50 42A38 26A33 35R11 PDFBibTeX XMLCite \textit{C. Jesus} and \textit{E. Sousa}, Numer. Algorithms 87, No. 3, 967--999 (2021; Zbl 1476.65173) Full Text: DOI
Lin, Guoxing Describing NMR relaxation by effective phase diffusion equation. (English) Zbl 1469.78002 Commun. Nonlinear Sci. Numer. Simul. 99, Article ID 105825, 15 p. (2021). MSC: 78A25 33E12 60G60 44A10 42A38 34A08 PDFBibTeX XMLCite \textit{G. Lin}, Commun. Nonlinear Sci. Numer. Simul. 99, Article ID 105825, 15 p. (2021; Zbl 1469.78002) Full Text: DOI arXiv
Ho, Kwok-Pun Erdélyi-Kober fractional integrals on Hardy space and BMO. (English) Zbl 1460.42032 Proyecciones 39, No. 3, 663-677 (2020). Reviewer: Pierre Portal (Canberra) MSC: 42B30 26A33 PDFBibTeX XMLCite \textit{K.-P. Ho}, Proyecciones 39, No. 3, 663--677 (2020; Zbl 1460.42032) Full Text: DOI
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
Zheng, Guang-Hui Solving the backward problem in Riesz-Feller fractional diffusion by a new nonlocal regularization method. (English) Zbl 1404.65147 Appl. Numer. Math. 135, 99-128 (2019). MSC: 65M32 35R11 35R60 65T50 49N60 65N20 42A38 PDFBibTeX XMLCite \textit{G.-H. Zheng}, Appl. Numer. Math. 135, 99--128 (2019; Zbl 1404.65147) Full Text: DOI
Karlı, Deniz Extension of Mikhlin multiplier theorem to fractional derivatives and stable processes. (English) Zbl 1401.60149 Fract. Calc. Appl. Anal. 21, No. 2, 486-508 (2018). MSC: 60J45 42A61 60G52 26A33 PDFBibTeX XMLCite \textit{D. Karlı}, Fract. Calc. Appl. Anal. 21, No. 2, 486--508 (2018; Zbl 1401.60149) Full Text: DOI arXiv
Goos, Demian Nahuel; Reyero, Gabriela Fernanda Mathematical analysis of a Cauchy problem for the time-fractional diffusion-wave equation with \( \alpha \in (0,2) \). (English) Zbl 1394.35553 J. Fourier Anal. Appl. 24, No. 2, 560-582 (2018). Reviewer: Abdallah Bradji (Annaba) MSC: 35R11 33E12 35G10 42A38 PDFBibTeX XMLCite \textit{D. N. Goos} and \textit{G. F. Reyero}, J. Fourier Anal. Appl. 24, No. 2, 560--582 (2018; Zbl 1394.35553) Full Text: DOI
Cheng, Xing; Li, Zhiyuan; Yamamoto, Masahiro Asymptotic behavior of solutions to space-time fractional diffusion-reaction equations. (English) Zbl 1372.35333 Math. Methods Appl. Sci. 40, No. 4, 1019-1031 (2017). MSC: 35R11 35B40 44A10 42B10 PDFBibTeX XMLCite \textit{X. Cheng} et al., Math. Methods Appl. Sci. 40, No. 4, 1019--1031 (2017; Zbl 1372.35333) Full Text: DOI arXiv
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
Abdel-Rehim, E. A. Fundamental solutions of the fractional diffusion and the fractional Fokker-Planck equations. (English) Zbl 1348.35274 J. Egypt. Math. Soc. 24, No. 3, 337-347 (2016). MSC: 35Q84 26A33 45K05 60J60 60G50 60G51 65N06 42A38 PDFBibTeX XMLCite \textit{E. A. Abdel-Rehim}, J. Egypt. Math. Soc. 24, No. 3, 337--347 (2016; Zbl 1348.35274) Full Text: DOI
Costa, F. S.; de Oliveira, E. Capelas Fractional wave-diffusion equation with periodic conditions. (English) Zbl 1278.35260 J. Math. Phys. 53, No. 12, 123520, 9 p. (2012). MSC: 35R11 44A10 42B05 PDFBibTeX XMLCite \textit{F. S. Costa} and \textit{E. C. de Oliveira}, J. Math. Phys. 53, No. 12, 123520, 9 p. (2012; Zbl 1278.35260) Full Text: DOI
Kilbas, Anatoly A. Partial fractional differential equations and some of their applications. (English) Zbl 1210.35276 Analysis, München 30, No. 1, 35-66 (2010). Reviewer: Rudolf Gorenflo (Berlin) MSC: 35R11 26A33 45K05 35A22 44A10 42A38 60G22 33E12 PDFBibTeX XMLCite \textit{A. A. Kilbas}, Analysis, München 30, No. 1, 35--66 (2010; Zbl 1210.35276) Full Text: DOI
Zhang, Shuqin Solution of semi-boundless mixed problem for time-fractional telegraph equation. (English) Zbl 1149.45008 Acta Math. Appl. Sin., Engl. Ser. 23, No. 4, 611-618 (2007). Reviewer: V. Lakshmikantham (Melbourne/Florida) MSC: 45K05 26A33 35A22 35L15 44A10 42A38 PDFBibTeX XMLCite \textit{S. Zhang}, Acta Math. Appl. Sin., Engl. Ser. 23, No. 4, 611--618 (2007; Zbl 1149.45008) Full Text: DOI
Mainardi, Francesco Applications of integral transforms in fractional diffusion processes. (English) Zbl 1093.45003 Integral Transforms Spec. Funct. 15, No. 6, 477-484 (2004). Reviewer: Neville Ford (Chester) MSC: 45K05 44A10 26A33 33E12 42A38 35A22 60J60 35K05 PDFBibTeX XMLCite \textit{F. Mainardi}, Integral Transforms Spec. Funct. 15, No. 6, 477--484 (2004; Zbl 1093.45003) Full Text: DOI arXiv