Povstenko, Yuriy; Kyrylych, Tamara Time-fractional heat conduction in an infinite plane containing an external crack under heat flux loading. (English) Zbl 1442.74060 Comput. Math. Appl. 78, No. 5, 1386-1395 (2019). MSC: 74F05 35R11 PDFBibTeX XMLCite \textit{Y. Povstenko} and \textit{T. Kyrylych}, Comput. Math. Appl. 78, No. 5, 1386--1395 (2019; Zbl 1442.74060) Full Text: DOI
Povstenko, Yuriy; Klekot, Joanna Fractional heat conduction with heat absorption in a sphere under Dirichlet boundary condition. (English) Zbl 1400.35223 Comput. Appl. Math. 37, No. 4, 4475-4483 (2018). MSC: 35R11 35K05 45K05 PDFBibTeX XMLCite \textit{Y. Povstenko} and \textit{J. Klekot}, Comput. Appl. Math. 37, No. 4, 4475--4483 (2018; Zbl 1400.35223) Full Text: DOI
Povstenko, Yuriy; Klekot, Joanna Fractional heat conduction in an infinite rod with heat absorption proportional to temperature. (English) Zbl 1513.35530 Sci. Issues, Jan Długosz Univ. Częst., Math. 22, 61-71 (2017). MSC: 35R11 35Q79 65M99 74K10 74F05 PDFBibTeX XMLCite \textit{Y. Povstenko} and \textit{J. Klekot}, Sci. Issues, Jan Długosz Univ. Częst., Math. 22, 61--71 (2017; Zbl 1513.35530) Full Text: DOI
Povstenko, Yuriy Harmonic impact on the surface of a half-plane in the framework of time-fractional heat conduction. (English) Zbl 1513.35529 Sci. Issues, Jan Długosz Univ. Częst., Math. 21, 85-92 (2016). MSC: 35R11 26A33 33E12 PDFBibTeX XMLCite \textit{Y. Povstenko}, Sci. Issues, Jan Długosz Univ. Częst., Math. 21, 85--92 (2016; Zbl 1513.35529) Full Text: DOI
Povstenko, Yuriy Time-fractional thermoelasticity problem for a sphere subjected to the heat flux. (English) Zbl 1338.74033 Appl. Math. Comput. 257, 327-334 (2015). MSC: 74F05 80A20 PDFBibTeX XMLCite \textit{Y. Povstenko}, Appl. Math. Comput. 257, 327--334 (2015; Zbl 1338.74033) Full Text: DOI
Povstenko, Yuriy Fractional heat conduction in a semi-infinite composite body. (English) Zbl 1329.35337 Commun. Appl. Ind. Math. 6, No. 1, Article ID 482, 13 p. (2014). MSC: 35R11 26A33 35K05 35Q79 80A20 PDFBibTeX XMLCite \textit{Y. Povstenko}, Commun. Appl. Ind. Math. 6, No. 1, Article ID 482, 13 p. (2014; Zbl 1329.35337)
Povstenko, Yuriy Fundamental solutions to the fractional heat conduction equation in a ball under Robin boundary condition. (English) Zbl 1290.35313 Cent. Eur. J. Math. 12, No. 4, 611-622 (2014). MSC: 35R11 35R09 45K05 26A33 PDFBibTeX XMLCite \textit{Y. Povstenko}, Cent. Eur. J. Math. 12, No. 4, 611--622 (2014; Zbl 1290.35313) Full Text: DOI
Povstenko, Yuriy Fractional heat conduction in an infinite medium with a spherical inclusion. (English) Zbl 1339.80007 Entropy 15, No. 10, 4122-4133 (2013). MSC: 80A20 26A33 44A10 33E12 PDFBibTeX XMLCite \textit{Y. Povstenko}, Entropy 15, No. 10, 4122--4133 (2013; Zbl 1339.80007) Full Text: DOI
Povstenko, Yuriy The Neumann boundary problem for axisymmetric fractional heat conduction equation in a solid with cylindrical hole and associated thermal stress. (English) Zbl 1293.74081 Meccanica 47, No. 1, 23-29 (2012). MSC: 74F05 80A20 35Q79 26A33 PDFBibTeX XMLCite \textit{Y. Povstenko}, Meccanica 47, No. 1, 23--29 (2012; Zbl 1293.74081) Full Text: DOI
Povstenko, Yuriy Time-fractional radial heat conduction in a cylinder and associated thermal stresses. (English) Zbl 1293.74080 Arch. Appl. Mech. 82, No. 3, 345-362 (2012). MSC: 74F05 80A20 PDFBibTeX XMLCite \textit{Y. Povstenko}, Arch. Appl. Mech. 82, No. 3, 345--362 (2012; Zbl 1293.74080) Full Text: DOI
Povstenko, Y. Z. Fundamental solutions to boundary value Robin problems for fractional time heat conduction equation for a half-line. (English) Zbl 1289.74055 Mat. Metody Fiz.-Mekh. Polya 55, No. 3, 164-169 (2012) and J. Math. Sci., New York 194, No. 3, 322-329 (2013). Reviewer: Anatoly Martynyuk (Kyïv) MSC: 74F05 74A15 PDFBibTeX XMLCite \textit{Y. Z. Povstenko}, Mat. Metody Fiz.-Mekh. Polya 55, No. 3, 164--169 (2012; Zbl 1289.74055)
Povstenko, Yuriy Theories of thermal stresses based on space-time-fractional telegraph equations. (English) Zbl 1268.74018 Comput. Math. Appl. 64, No. 10, 3321-3328 (2012). MSC: 74F05 35R11 35Q79 74D05 35Q74 80A17 PDFBibTeX XMLCite \textit{Y. Povstenko}, Comput. Math. Appl. 64, No. 10, 3321--3328 (2012; Zbl 1268.74018) Full Text: DOI
Povstenko, Yuriy Z. Central symmetric solution to the Neumann problem for a time-fractional diffusion-wave equation in a sphere. (English) Zbl 1239.76057 Nonlinear Anal., Real World Appl. 13, No. 3, 1229-1238 (2012). MSC: 76R50 35R11 PDFBibTeX XMLCite \textit{Y. Z. Povstenko}, Nonlinear Anal., Real World Appl. 13, No. 3, 1229--1238 (2012; Zbl 1239.76057) Full Text: DOI
Povstenko, Y. Z. Non-axisymmetric solutions to time-fractional heat conduction equation in a half-space in cylindrical coordinates. (English) Zbl 1274.74026 Mat. Metody Fiz.-Mekh. Polya 54, No. 1, 212-219 (2011) and J. Math. Sci., New York 183, No. 2, 252-260 (2012). Reviewer: A. A. Martynyuk (Kyïv) MSC: 74A15 74F05 35K05 35K57 PDFBibTeX XMLCite \textit{Y. Z. Povstenko}, Mat. Metody Fiz.-Mekh. Polya 54, No. 1, 212--219 (2011; Zbl 1274.74026)
Povstenko, Y. Z. Fractional radial heat conduction in an infinite medium with a cylindrical cavity and associated thermal stresses. (English) Zbl 1272.74140 Mech. Res. Commun. 37, No. 4, 436-440 (2010). MSC: 74F05 80A20 26A33 PDFBibTeX XMLCite \textit{Y. Z. Povstenko}, Mech. Res. Commun. 37, No. 4, 436--440 (2010; Zbl 1272.74140) Full Text: DOI Link