Symmetry properties of fractional diffusion equations RK Gazizov, AA Kasatkin, SY Lukashchuk Physica Scripta 2009 (T136), 014016, 2009 | 353 | 2009 |
Continuous transformation groups of fractional differential equations RK Gazizov, AA Kasatkin, SY Lukashchuk Vestnik Usatu 9 (3), 21, 2007 | 262 | 2007 |
Conservation laws for time-fractional subdiffusion and diffusion-wave equations SY Lukashchuk Nonlinear Dynamics 80, 791-802, 2015 | 187 | 2015 |
Nonlinear self-adjointness, conservation laws and exact solutions of time-fractional Kompaneets equations RK Gazizov, NH Ibragimov, SY Lukashchuk Communications in Nonlinear Science and Numerical Simulation 23 (1-3), 153-163, 2015 | 141 | 2015 |
Group-invariant solutions of fractional differential equations RK Gazizov, AA Kasatkin, SY Lukashchuk Nonlinear Science and Complexity, 51-59, 2011 | 59 | 2011 |
Group classification of nonlinear time-fractional diffusion equation with a source term SY Lukashchuk, AV Makunin Applied Mathematics and Computation 257, 335-343, 2015 | 53 | 2015 |
Fractional differential equations: change of variables and nonlocal symmetries R Sabirova J. Math. Probl. Equ. Stat 2, 44-59, 2021 | 36 | 2021 |
Constructing conservation laws for fractional-order integro-differential equations SY Lukashchuk Theoretical and Mathematical Physics 184, 1049-1066, 2015 | 24 | 2015 |
Symmetries, conservation laws and group invariant solutions of fractional PDEs RK Gazizov, AA Kasatkin, SY Lukashchuk Fractional Differential Equations 2, 353-382, 2019 | 18 | 2019 |
An approximate solution method for ordinary fractional differential equations with the Riemann–Liouville fractional derivatives SY Lukashchuk Communications in Nonlinear Science and Numerical Simulation 19 (2), 390-400, 2014 | 15 | 2014 |
Estimation of parameters in fractional subdiffusion equations by the time integral characteristics method SY Lukashchuk Computers & Mathematics with Applications 62 (3), 834-844, 2011 | 15 | 2011 |
Approximate conservation laws for fractional differential equations SY Lukashchuk Communications in Nonlinear Science and Numerical Simulation 68, 147-159, 2019 | 13 | 2019 |
Lie group analysis of 2‐dimensional space‐fractional model for flow in porous media NS Belevtsov, SY Lukashchuk Mathematical Methods in the Applied Sciences 41 (18), 9123-9133, 2018 | 13 | 2018 |
Symmetries and group-invariant solutions of nonlinear fractional differential equations RK Gazizov, AA Kasatkin, SY Lukashchuk Phys. Scr 227, 2009 | 13 | 2009 |
Symmetries and group invariant solutions of fractional ordinary differential equations RK Gazizov, AA Kasatkin, SY Lukashchuk Handbook of Fractional Calculus with Applications 2, 65-90, 2019 | 12 | 2019 |
Symmetry reduction and invariant solutions for nonlinear fractional diffusion equation with a source term SY Lukashchuk Ufim. Mat. Zhurnal 8, 111-122, 2016 | 12 | 2016 |
Time-fractional extensions of the Liouville and Zwanzig equations SY Lukashchuk Central European Journal of Physics 11, 740-749, 2013 | 12 | 2013 |
Approximate symmetry group classification for a nonlinear fractional filtration equation of diffusion-wave type SY Lukashchuk, RD Saburova Nonlinear Dynamics 93, 295-305, 2018 | 10 | 2018 |
Higher-order symmetries of a time-fractional anomalous diffusion equation RK Gazizov, SY Lukashchuk Mathematics 9 (3), 216, 2021 | 9 | 2021 |
Linearly autonomous symmetries of the ordinary fractional differential equations RK Gazizov, AA Kasatkin, SY Lukashchuk ICFDA'14 International Conference on Fractional Differentiation and Its …, 2014 | 9 | 2014 |