Krasnoshchok, M. Monotone iterations method for fractional diffusion equations. (English) Zbl 1509.35347 Mat. Stud. 57, No. 2, 122-136 (2022). MSC: 35R11 26A33 35B45 35K58 35K60 PDFBibTeX XMLCite \textit{M. Krasnoshchok}, Mat. Stud. 57, No. 2, 122--136 (2022; Zbl 1509.35347) Full Text: DOI
Krasnoschok, Mykola; Vasylyeva, Nataliya Linear subdiffusion in weighted fractional Hölder spaces. (English) Zbl 1496.35432 Evol. Equ. Control Theory 11, No. 4, 1455-1487 (2022). MSC: 35R11 35C15 35B45 35K20 26A33 PDFBibTeX XMLCite \textit{M. Krasnoschok} and \textit{N. Vasylyeva}, Evol. Equ. Control Theory 11, No. 4, 1455--1487 (2022; Zbl 1496.35432) Full Text: DOI
Krasnoschok, Mykola; Pata, Vittorino; Siryk, Sergii V.; Vasylyeva, Nataliya A subdiffusive Navier-Stokes-Voigt system. (English) Zbl 1507.35187 Physica D 409, Article ID 132503, 13 p. (2020). MSC: 35Q35 76A05 76D05 35D35 35A01 35A02 65M99 26A33 35R11 PDFBibTeX XMLCite \textit{M. Krasnoschok} et al., Physica D 409, Article ID 132503, 13 p. (2020; Zbl 1507.35187) Full Text: DOI
Krasnoschok, Mykola; Pereverzyev, Sergei; Siryk, Sergii V.; Vasylyeva, Nataliya Determination of the fractional order in semilinear subdiffusion equations. (English) Zbl 1474.35660 Fract. Calc. Appl. Anal. 23, No. 3, 694-722 (2020). MSC: 35R11 35R30 65N20 65N21 PDFBibTeX XMLCite \textit{M. Krasnoschok} et al., Fract. Calc. Appl. Anal. 23, No. 3, 694--722 (2020; Zbl 1474.35660) Full Text: DOI
Krasnoschok, Mykola; Pereverzyev, Sergei; Siryk, Sergii V.; Vasylyeva, Nataliya Regularized reconstruction of the order in semilinear subdiffusion with memory. (English) Zbl 1437.65125 Cheng, Jin (ed.) et al., Inverse problems and related topics. Extended versions of papers based on the international conference on inverse problems, Shanghai, China, October 12–14, 2018. In honor of Masahiro Yamamoto on the occasion of his 60th anniversary. Singapore: Springer. Springer Proc. Math. Stat. 310, 205-236 (2020). MSC: 65M32 35R30 PDFBibTeX XMLCite \textit{M. Krasnoschok} et al., Springer Proc. Math. Stat. 310, 205--236 (2020; Zbl 1437.65125) Full Text: DOI
Dzhafarov, R. M.; Krasnoshchek, N. V. The Cauchy problem for the fractional diffusion equation in a weighted Hölder space. (English. Russian original) Zbl 1409.35212 Sib. Math. J. 59, No. 6, 1034-1050 (2018); translation from Sib. Mat. Zh. 59, No. 6, 1303-1321 (2018). MSC: 35R11 PDFBibTeX XMLCite \textit{R. M. Dzhafarov} and \textit{N. V. Krasnoshchek}, Sib. Math. J. 59, No. 6, 1034--1050 (2018; Zbl 1409.35212); translation from Sib. Mat. Zh. 59, No. 6, 1303--1321 (2018) Full Text: DOI
Krasnoschok, Mykola; Pata, Vittorino; Vasylyeva, Nataliya Solvability of linear boundary value problems for subdiffusion equations with memory. (English) Zbl 1402.35304 J. Integral Equations Appl. 30, No. 3, 417-445 (2018). MSC: 35R11 35C15 45N05 PDFBibTeX XMLCite \textit{M. Krasnoschok} et al., J. Integral Equations Appl. 30, No. 3, 417--445 (2018; Zbl 1402.35304) Full Text: DOI Euclid
Krasnoschok, Mykola; Pata, Vittorino; Vasylyeva, Nataliya Semilinear subdiffusion with memory in the one-dimensional case. (English) Zbl 1374.35422 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 165, 1-17 (2017). MSC: 35R11 35C15 45N05 PDFBibTeX XMLCite \textit{M. Krasnoschok} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 165, 1--17 (2017; Zbl 1374.35422) Full Text: DOI
Krasnoschok, Mykola Time-fractional diffusion equation with dynamical boundary condition. (English) Zbl 1424.35349 Fract. Differ. Calc. 6, No. 2, 151-178 (2016). MSC: 35R11 26A33 PDFBibTeX XMLCite \textit{M. Krasnoschok}, Fract. Differ. Calc. 6, No. 2, 151--178 (2016; Zbl 1424.35349) Full Text: DOI
Vasil’eva, N. V.; Krasnoshchëk, N. V. On the local solvability of the two-dimensional Hele-Shaw problem with fractional derivative with respect to time. (Russian, English) Zbl 1374.35447 Mat. Tr. 17, No. 2, 102-131 (2014); translation in Sib. Adv. Math. 25, No. 4, 276-296 (2015). MSC: 35R35 35K65 PDFBibTeX XMLCite \textit{N. V. Vasil'eva} and \textit{N. V. Krasnoshchëk}, Mat. Tr. 17, No. 2, 102--131 (2014; Zbl 1374.35447); translation in Sib. Adv. Math. 25, No. 4, 276--296 (2015) Full Text: DOI
Krasnoschok, Mykola; Vasylyeva, Nataliya On a nonclassical fractional boundary-value problem for the Laplace operator. (English) Zbl 1292.35313 J. Differ. Equations 257, No. 6, 1814-1839 (2014). MSC: 35R11 35C15 35B65 35R35 PDFBibTeX XMLCite \textit{M. Krasnoschok} and \textit{N. Vasylyeva}, J. Differ. Equations 257, No. 6, 1814--1839 (2014; Zbl 1292.35313) Full Text: DOI
Krasnoschok, Mykola; Vasylyeva, Nataliya Existence and uniqueness of the solutions for some initial-boundary value problems with the fractional dynamic boundary condition. (English) Zbl 1515.35320 Int. J. Partial Differ. Equ. 2013, Article ID 796430, 20 p. (2013). MSC: 35R11 35K20 PDFBibTeX XMLCite \textit{M. Krasnoschok} and \textit{N. Vasylyeva}, Int. J. Partial Differ. Equ. 2013, Article ID 796430, 20 p. (2013; Zbl 1515.35320) Full Text: DOI