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Publications in Math-Net.Ru |
Citations |
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2020 |
| 1. |
N. S. Belevtsov, S. Yu. Lukashchuk, “Multipole expansion of the fundamental solution of a fractional degree of the Laplace operator”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 176 (2020), 26–33   |
| 2. |
V. O. Lukashchuk, S. Yu. Lukashchuk, “Group classification, invariant solutions and conservation laws of nonlinear orthotropic two-dimensional filtration equation with the Riemann–Liouville time-fractional derivative”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 24:2 (2020), 226–248 |
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2019 |
| 3. |
R. K. Gazizov, A. A. Kasatkin, S. Yu. Lukashchuk, “Group classification and symmetry reduction of three-dimensional nonlinear anomalous diffusion equation”, Ufimsk. Mat. Zh., 11:4 (2019), 14–28 ; Ufa Math. J., 11:4 (2019), 13–26   |
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2017 |
| 4. |
S. Yu. Lukashchuk, “Approximation of ordinary fractional differential equations by differential equations with a small parameter”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 27:4 (2017), 515–531  |
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2016 |
| 5. |
S. Yu. Lukashchuk, “Symmetry reduction and invariant solutions for nonlinear fractional diffusion equation with a source term”, Ufimsk. Mat. Zh., 8:4 (2016), 114–126 ; Ufa Math. J., 8:4 (2016), 111–122 |
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| 6. |
S. Yu. Lukashchuk, “An approximate group classification of a perturbed subdiffusion equation”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 20:4 (2016), 603–619  |
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| 7. |
S. Yu. Lukashchuk, “Coefficients identification in fractional diffusion models by the method of time integral characteristics”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 9:3 (2016), 105–118 |
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2015 |
| 8. |
S. Yu. Lukashchuk, “Constructing conservation laws for fractional-order integro-differential equations”, TMF, 184:2 (2015), 179–199 ; Theoret. and Math. Phys., 184:2 (2015), 1049–1066 |
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2012 |
| 9. |
R. K. Gazizov, A. A. Kasatkin, S. Yu. Lukashchuk, “Fractional differential equations: change of variables and nonlocal symmetries”, Ufimsk. Mat. Zh., 4:4 (2012), 54–68 |
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| 10. |
S. Yu. Lukashchuk, “Parallel two-grids algorithms for solution of anomalous diffusion equations of fractional order”, Vestn. YuUrGU. Ser. Vych. Matem. Inform., 2012, no. 2, 83–98 |
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2011 |
| 11. |
A. T. Bikmeev, R. K. Gazizov, V. Yu. Ivanov, A. A. Kasatkin, V. V. Latysh, S. Yu. Lukashchuk, I. Sh. Nasibullayev, K. R. Yulmuhametov, A. M. Yamileva, “Analysis of parallelization efficiency of the ANSYS Multiphysics solvers in simulation of linear friction welding”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 2011, no. 9, 64–75 |
| 12. |
S. Yu. Lukashchuk, “A parallel algorithm based on an extended Schwarz domain decomposition method for the solution of fractional evolution equations”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 2011, no. 8, 85–91 |
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2008 |
| 13. |
R. K. Gazizov, A. A. Kasatkin, S. Yu. Lukaschuk, “Cимметрийный подход к дифференциальным уравнениям дробного порядка”, Matem. Mod. Kraev. Zadachi, 3 (2008), 59–61 |
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2005 |
| 14. |
S. Yu. Lukaschuk, “Идентификация параметров дифференциального уравнения субдиффузии”, Matem. Mod. Kraev. Zadachi, 3 (2005), 160–163 |
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