Santoyo Cano, Alejandro; Uribe Bravo, Gerónimo A Meyer-Itô formula for stable processes via fractional calculus. (English) Zbl 1511.60099 Fract. Calc. Appl. Anal. 26, No. 2, 619-650 (2023). MSC: 60H15 60H25 26A33 60G18 60G52 35R11 35R60 PDFBibTeX XMLCite \textit{A. Santoyo Cano} and \textit{G. Uribe Bravo}, Fract. Calc. Appl. Anal. 26, No. 2, 619--650 (2023; Zbl 1511.60099) Full Text: DOI arXiv
Jia, Hongchao; Tao, Jin; Yang, Dachun; Yuan, Wen; Zhang, Yangyang Boundedness of fractional integrals on special John-Nirenberg-Campanato and Hardy-type spaces via congruent cubes. (English) Zbl 1503.26009 Fract. Calc. Appl. Anal. 25, No. 6, 2446-2487 (2022). MSC: 26A33 42B20 47A30 42B30 PDFBibTeX XMLCite \textit{H. Jia} et al., Fract. Calc. Appl. Anal. 25, No. 6, 2446--2487 (2022; Zbl 1503.26009) Full Text: DOI arXiv
Wang, Yingzhan Strichartz’s Radon transforms for mutually orthogonal affine planes and fractional integrals. (English) Zbl 1503.44001 Fract. Calc. Appl. Anal. 25, No. 5, 1971-1993 (2022). MSC: 44A12 44A15 47G10 26A33 PDFBibTeX XMLCite \textit{Y. Wang}, Fract. Calc. Appl. Anal. 25, No. 5, 1971--1993 (2022; Zbl 1503.44001) Full Text: DOI
Rubin, Boris; Wang, Yingzhan Riesz potentials and orthogonal Radon transforms on affine Grassmannians. (English) Zbl 1498.44003 Fract. Calc. Appl. Anal. 24, No. 2, 376-392 (2021). MSC: 44A12 47G10 26A33 PDFBibTeX XMLCite \textit{B. Rubin} and \textit{Y. Wang}, Fract. Calc. Appl. Anal. 24, No. 2, 376--392 (2021; Zbl 1498.44003) Full Text: DOI
Rubin, Boris; Wang, Yingzhan Erdélyi-Kober fractional integrals and Radon transforms for mutually orthogonal affine planes. (English) Zbl 1462.44003 Fract. Calc. Appl. Anal. 23, No. 4, 967-979 (2020). MSC: 44A12 28A75 PDFBibTeX XMLCite \textit{B. Rubin} and \textit{Y. Wang}, Fract. Calc. Appl. Anal. 23, No. 4, 967--979 (2020; Zbl 1462.44003) Full Text: DOI
Rubin, Boris The vertical slice transform on the unit sphere. (English) Zbl 1445.44003 Fract. Calc. Appl. Anal. 22, No. 4, 899-917 (2019). Reviewer: S. L. Kalla (Ballwin) MSC: 44A12 35L05 45Q05 92C55 PDFBibTeX XMLCite \textit{B. Rubin}, Fract. Calc. Appl. Anal. 22, No. 4, 899--917 (2019; Zbl 1445.44003) Full Text: DOI
Bourdin, Loïc Weighted Hölder continuity of Riemann-Liouville fractional integrals – application to regularity of solutions to fractional Cauchy problems with Carathéodory dynamics. (English) Zbl 1428.34009 Fract. Calc. Appl. Anal. 22, No. 3, 722-749 (2019). MSC: 34A08 26A33 34A12 34A34 PDFBibTeX XMLCite \textit{L. Bourdin}, Fract. Calc. Appl. Anal. 22, No. 3, 722--749 (2019; Zbl 1428.34009) Full Text: DOI HAL
Abdel-Rehim, Enstar A. From power laws to fractional diffusion processes with and without external forces, the non direct way. (English) Zbl 1436.60074 Fract. Calc. Appl. Anal. 22, No. 1, 60-77 (2019). MSC: 60J60 35L05 45K05 PDFBibTeX XMLCite \textit{E. A. Abdel-Rehim}, Fract. Calc. Appl. Anal. 22, No. 1, 60--77 (2019; Zbl 1436.60074) Full Text: DOI
Rubin, Boris A note on the Blaschke-Petkantschin formula, Riesz distributions, and Drury’s identity. (English) Zbl 1434.44002 Fract. Calc. Appl. Anal. 21, No. 6, 1641-1650 (2018). MSC: 44A12 28A75 60D05 PDFBibTeX XMLCite \textit{B. Rubin}, Fract. Calc. Appl. Anal. 21, No. 6, 1641--1650 (2018; Zbl 1434.44002) Full Text: DOI
Machado, J. A. Tenreiro; Kiryakova, Virginia Historical survey: the chronicles of fractional calculus. (English) Zbl 1364.26002 Fract. Calc. Appl. Anal. 20, No. 2, 307-336 (2017). MSC: 26-03 26A33 01A60 01A61 01A67 34A08 35R11 60G22 PDFBibTeX XMLCite \textit{J. A. T. Machado} and \textit{V. Kiryakova}, Fract. Calc. Appl. Anal. 20, No. 2, 307--336 (2017; Zbl 1364.26002) Full Text: DOI
Kwaśnicki, Mateusz Ten equivalent definitions of the fractional Laplace operator. (English) Zbl 1375.47038 Fract. Calc. Appl. Anal. 20, No. 1, 7-51 (2017). MSC: 47G30 35S05 60J35 PDFBibTeX XMLCite \textit{M. Kwaśnicki}, Fract. Calc. Appl. Anal. 20, No. 1, 7--51 (2017; Zbl 1375.47038) Full Text: DOI arXiv Backlinks: MO
Rafeiro, Humberto; Samko, Stefan Fractional integrals and derivatives: mapping properties. (English) Zbl 1351.26016 Fract. Calc. Appl. Anal. 19, No. 3, 580-607 (2016). Reviewer: Boris Rubin (Baton Rouge) MSC: 26A33 46E30 PDFBibTeX XMLCite \textit{H. Rafeiro} and \textit{S. Samko}, Fract. Calc. Appl. Anal. 19, No. 3, 580--607 (2016; Zbl 1351.26016) Full Text: DOI Link
Rubin, Boris The \(\lambda\)-cosine transforms with odd kernel and the hemispherical transform. (English) Zbl 1315.44002 Fract. Calc. Appl. Anal. 17, No. 3, 765-806 (2014). Reviewer: Rainer Felix (Eichstätt) MSC: 44A12 26A33 33C55 47G10 PDFBibTeX XMLCite \textit{B. Rubin}, Fract. Calc. Appl. Anal. 17, No. 3, 765--806 (2014; Zbl 1315.44002) Full Text: DOI
Williams, Paul Anthony Fractional calculus on time scales with Taylor’s theorem. (English) Zbl 1312.26059 Fract. Calc. Appl. Anal. 15, No. 4, 616-638 (2012). MSC: 26E70 26A33 PDFBibTeX XMLCite \textit{P. A. Williams}, Fract. Calc. Appl. Anal. 15, No. 4, 616--638 (2012; Zbl 1312.26059) Full Text: DOI
Herrmann, Richard Covariant fractional extension of the modified Laplace-operator used in 3D-shape recovery. (English) Zbl 1302.94008 Fract. Calc. Appl. Anal. 15, No. 2, 332-343 (2012). MSC: 94A08 35R11 65D18 62H35 68U10 PDFBibTeX XMLCite \textit{R. Herrmann}, Fract. Calc. Appl. Anal. 15, No. 2, 332--343 (2012; Zbl 1302.94008) Full Text: DOI arXiv
Rubin, Boris On some inversion formulas for Riesz potentials and \(k\)-plane transforms. (English) Zbl 1285.47052 Fract. Calc. Appl. Anal. 15, No. 1, 34-43 (2012). MSC: 47G10 44A12 PDFBibTeX XMLCite \textit{B. Rubin}, Fract. Calc. Appl. Anal. 15, No. 1, 34--43 (2012; Zbl 1285.47052) Full Text: DOI
Abouelaz, Ahmed The \(d\)-plane Radon transform on the torus \(\mathbb T^n\). (English) Zbl 1312.44003 Fract. Calc. Appl. Anal. 14, No. 2, 233-246 (2011). MSC: 44A12 05B35 11D04 PDFBibTeX XMLCite \textit{A. Abouelaz}, Fract. Calc. Appl. Anal. 14, No. 2, 233--246 (2011; Zbl 1312.44003) Full Text: DOI
Stojanović, Mirjana Fractional derivatives in spaces of generalized functions. (English) Zbl 1273.26012 Fract. Calc. Appl. Anal. 14, No. 1, 125-137 (2011). MSC: 26A33 46F10 58C05 PDFBibTeX XMLCite \textit{M. Stojanović}, Fract. Calc. Appl. Anal. 14, No. 1, 125--137 (2011; Zbl 1273.26012) Full Text: DOI Link
Samko, Stefan On a 3D-hypersingular equation of a problem for a crack. (English) Zbl 1273.74099 Fract. Calc. Appl. Anal. 14, No. 1, 19-30 (2011). MSC: 74G05 74R10 45E05 78A45 PDFBibTeX XMLCite \textit{S. Samko}, Fract. Calc. Appl. Anal. 14, No. 1, 19--30 (2011; Zbl 1273.74099) Full Text: DOI
Luchko, Yury; Mainardi, Francesco; Rogosin, Sergei Professor Rudolf Gorenflo and his contribution to fractional calculus. (English) Zbl 1273.01048 Fract. Calc. Appl. Anal. 14, No. 1, 3-18 (2011). MSC: 01A70 01A60 26-03 26A33 PDFBibTeX XMLCite \textit{Y. Luchko} et al., Fract. Calc. Appl. Anal. 14, No. 1, 3--18 (2011; Zbl 1273.01048) Full Text: DOI Link