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Stanislav Yu. Lukashchuk

Observed names: Lukashchuk S. Yu, S Yu Lukashchuk, S. Y. Lukashchuk, S. Yu. Lukashchuk, S.Yu. Lukashchuk, Stanislav Lukashchuk, Stanislav Yu Lukashchuk, Stanislav Yur'evich Lukashchuk, Лукащук Станислав Юрьевич, Лукащук, Станислав Юрьевич, Станислав Юрьевич Лукащук
ORCID: 0000-0001-9209-5155
Observed ORCID: 0000-0001-9209-5155
OpenAlex ID: A5046956687
Symmetry properties of fractional diffusion equations
2009 · R K Gazizov, A A Kasatkin, et al. · Physica Scripta · 309
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Conservation laws for time-fractional subdiffusion and diffusion-wave equations
2015 · Stanislav Yu. Lukashchuk · Nonlinear Dynamics · 206
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Nonlinear self-adjointness, conservation laws and exact solutions of time-fractional Kompaneets equations
2014 · R.K. Gazizov, N.H. Ibragimov, et al. · Communications in Nonlinear Science and Numerical Simulation · 139
Group-Invariant Solutions of Fractional Differential Equations
2010 · R. K. Gazizov, A. A. Kasatkin, et al. · Springer eBooks · 44
Group classification of nonlinear time-fractional diffusion equation with a source term
2014 · S.Yu. Lukashchuk, A.V. Makunin · Applied Mathematics and Computation · 32
Constructing conservation laws for fractional-order integro-differential equations
2015 · S. Yu. Lukashchuk · Theoretical and Mathematical Physics · 28
Symmetries, conservation laws and group invariant solutions of fractional PDEs
2019 · Rafail K. Gazizov, Alexey A. Kasatkin, et al. · De Gruyter eBooks · 22
Fractional Differential Equations: Change of Variables and Nonlocal Symmetries
2012 · Газизов Рафаил Кавыевич, Касаткин Алексей Александрович, et al. · Ufimskii Matematicheskii Zhurnal · 22
Approximate conservation laws for fractional differential equations
2018 · Stanislav Yu. Lukashchuk · Communications in Nonlinear Science and Numerical Simulation · 15
Higher-Order Symmetries of a Time-Fractional Anomalous Diffusion Equation
2021 · Rafail K. Gazizov, Stanislav Yu. Lukashchuk · Mathematics · 14
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Estimation of parameters in fractional subdiffusion equations by the time integral characteristics method
2011 · S.Yu. Lukashchuk · Computers & Mathematics with Applications · 14
Symmetry reduction and invariant solutions for nonlinear fractional diffusion equation with a source term
2016 · Stanislav Yur'evich Lukashchuk · Ufimskii Matematicheskii Zhurnal · 12
Symmetries and group invariant solutions of fractional ordinary differential equations
2019 · Rafail K. Gazizov, Alexey A. Kasatkin, et al. · De Gruyter eBooks · 11
Approximate symmetry group classification for a nonlinear fractional filtration equation of diffusion-wave type
2018 · Stanislav Yu. Lukashchuk, Regina D. Saburova · Nonlinear Dynamics · 11
An approximate solution method for ordinary fractional differential equations with the Riemann–Liouville fractional derivatives
2013 · S.Yu. Lukashchuk · Communications in Nonlinear Science and Numerical Simulation · 11
Lie group analysis of 2‐dimensional space‐fractional model for flow in porous media
2018 · Nikita S. Belevtsov, Stanislav Yu. Lukashchuk · Mathematical Methods in the Applied Sciences · 10
A Semi-Explicit Algorithm for Parameters Estimation in a Time-Fractional Dual-Phase-Lag Heat Conduction Model
2024 · Stanislav Yu. Lukashchuk · Modelling—International Open Access Journal of Modelling in Engineering Science · 7
Linearly autonomous symmetries of the ordinary fractional differential equations
2014 · Rafail K. Gazizov, Alexey A. Kasatkin, et al. · International Conference on Fractional Differentiation and Its Applications (ICFDA) · 7
A fast algorithm for fractional Helmholtz equation with application to electromagnetic waves propagation
2021 · Nikita S. Belevtsov, Stanislav Yu. Lukashchuk · Applied Mathematics and Computation · 6
Group classification and symmetry reduction of three-dimensional nonlinear anomalous diffusion equation
2019 · Rafail Kavyevich Gazizov, Aleksei Aleksandrovich Kasatkin, et al. · Ufimskii Matematicheskii Zhurnal · 6
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Approximation of ordinary fractional differential equations by differential equations with a small parameter
2017 · S.Yu. Lukashchuk · Vestnik Udmurtskogo Universiteta Matematika Mekhanika Komp yuternye Nauki · 6
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Approximations of Fractional Differential Equations and Approximate Symmetries
2017 · Rafail K. Gazizov, Stanislav Yu. Lukashchuk · IFAC-PapersOnLine · 6
Time-fractional extensions of the Liouville and Zwanzig equations
2013 · Stanislav Lukashchuk · Open Physics · 5
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Symmetry Group Classification and Conservation Laws of the Nonlinear Fractional Diffusion Equation with the Riesz Potential
2020 · Nikita S. Belevtsov, Stanislav Yu. Lukashchuk · Symmetry · 4
Symmetries and exact solutions of fractional filtration equations
2017 · Rafail K. Gazizov, Alexey A. Kasatkin, et al. · AIP conference proceedings · 4
Works count: 54
Citation count: 965
H-index: 12
I10-index: 16
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