Al-Kandari, M.; Hanna, L. A-M.; Luchko, Yu. F. Transmutations of the composed Erdélyi-Kober fractional operators and their applications. (English) Zbl 1494.44004 Kravchenko, Vladislav V. (ed.) et al., Transmutation operators and applications. Cham: Birkhäuser. Trends Math., 479-508 (2020). MSC: 44A15 44A35 47G20 26A33 44-02 PDFBibTeX XMLCite \textit{M. Al-Kandari} et al., in: Transmutation operators and applications. Cham: Birkhäuser. 479--508 (2020; Zbl 1494.44004) Full Text: DOI
Luchko, Yu. Subordination principles for the multi-dimensional space-time-fractional diffusion-wave equation. (English) Zbl 1461.35007 Theory Probab. Math. Stat. 98, 127-147 (2019) and Teor. Jmovirn. Mat. Stat. 98, 121-141 (2018). MSC: 35A08 35R11 26A33 35C05 35E05 35L05 45K05 60E99 PDFBibTeX XMLCite \textit{Yu. Luchko}, Theory Probab. Math. Stat. 98, 127--147 (2019; Zbl 1461.35007) Full Text: DOI arXiv
Al-Kandari, M.; Hanna, L. A.-M.; Luchko, Yu. F. A convolution family in the Dimovski sense for the composed Erdélyi-Kober fractional integrals. (English) Zbl 1408.26005 Integral Transforms Spec. Funct. 30, No. 5, 400-417 (2019). MSC: 26A33 33E30 44A35 PDFBibTeX XMLCite \textit{M. Al-Kandari} et al., Integral Transforms Spec. Funct. 30, No. 5, 400--417 (2019; Zbl 1408.26005) Full Text: DOI
Luchko, Yu. A new fractional calculus model for the two-dimensional anomalous diffusion and its analysis. (English) Zbl 1393.35280 Math. Model. Nat. Phenom. 11, No. 3, 1-17 (2016). MSC: 35R11 35C05 35E05 35L05 PDFBibTeX XMLCite \textit{Yu. Luchko}, Math. Model. Nat. Phenom. 11, No. 3, 1--17 (2016; Zbl 1393.35280) Full Text: DOI Link
Hanna, L. A-M.; Luchko, Yu. F. Operational calculus for the Caputo-type fractional Erdélyi-Kober derivative and its applications. (English) Zbl 1288.26004 Integral Transforms Spec. Funct. 25, No. 5, 359-373 (2014). Reviewer: Deshna Loonker (Jodhpur) MSC: 26A33 44A40 44A35 33E30 45J05 PDFBibTeX XMLCite \textit{L. A M. Hanna} and \textit{Yu. F. Luchko}, Integral Transforms Spec. Funct. 25, No. 5, 359--373 (2014; Zbl 1288.26004) Full Text: DOI
Luchko, Yury Anomalous diffusion: models, their analysis, and interpretation. (English) Zbl 1279.60105 Rogosin, Sergei V. (ed.) et al., Advances in applied analysis. Selected papers based on the lectures presented at the 3rd international winter school “Modern Problems of Mathematics and Mechanics” held in Minsk, Belarus, January 2010. Basel: Birkhäuser (ISBN 978-3-0348-0416-5/hbk; 978-3-0348-0417-2/ebook). Trends in Mathematics, 115-145 (2012). MSC: 60J60 26A33 33E12 35B30 35B45 35B50 35K99 45K05 60J65 PDFBibTeX XMLCite \textit{Y. Luchko}, in: Advances in applied analysis. Selected papers based on the lectures presented at the 3rd international winter school ``Modern Problems of Mathematics and Mechanics'' held in Minsk, Belarus, January 2010. Basel: Birkhäuser. 115--145 (2012; Zbl 1279.60105) Full Text: DOI
Luchko, Yury Maximum principle and its application for the time-fractional diffusion equations. (English) Zbl 1273.35297 Fract. Calc. Appl. Anal. 14, No. 1, 110-124 (2011). MSC: 35R11 35-02 35B50 35B45 35K99 45K05 PDFBibTeX XMLCite \textit{Y. Luchko}, Fract. Calc. Appl. Anal. 14, No. 1, 110--124 (2011; Zbl 1273.35297) Full Text: DOI Link
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
Luchko, Yury Initial-boundary-value problems for the generalized multi-term time-fractional diffusion equation. (English) Zbl 1202.35339 J. Math. Anal. Appl. 374, No. 2, 538-548 (2011). MSC: 35R11 26A33 35B50 35B45 35A01 33E12 35B30 PDFBibTeX XMLCite \textit{Y. Luchko}, J. Math. Anal. Appl. 374, No. 2, 538--548 (2011; Zbl 1202.35339) Full Text: DOI
Luchko, Yury Some uniqueness and existence results for the initial-boundary-value problems for the generalized time-fractional diffusion equation. (English) Zbl 1189.35360 Comput. Math. Appl. 59, No. 5, 1766-1772 (2010). MSC: 35R11 26A33 35A01 35A02 PDFBibTeX XMLCite \textit{Y. Luchko}, Comput. Math. Appl. 59, No. 5, 1766--1772 (2010; Zbl 1189.35360) Full Text: DOI
Luchko, Yury Maximum principle for the generalized time-fractional diffusion equation. (English) Zbl 1172.35341 J. Math. Anal. Appl. 351, No. 1, 218-223 (2009). Reviewer: Juan J. Trujillo (La Laguna) MSC: 35B50 26A33 35S05 PDFBibTeX XMLCite \textit{Y. Luchko}, J. Math. Anal. Appl. 351, No. 1, 218--223 (2009; Zbl 1172.35341) Full Text: DOI