Lukashchuk Stanislav Yur'evich

Publications in Math-Net.Ru

1. 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. 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
3. Group classification and symmetry reduction of three-dimensional nonlinear anomalous diffusion equation
   
   Ufimsk. Mat. Zh., 11:4 (2019),  14–28
4. 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
5. Symmetry reduction and invariant solutions for nonlinear fractional diffusion equation with a source term
   
   Ufimsk. Mat. Zh., 8:4 (2016),  114–126
6. 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
7. Coefficients identification in fractional diffusion models by the method of time integral characteristics
   
   Vestnik YuUrGU. Ser. Mat. Model. Progr., 9:3 (2016),  105–118
8. Constructing conservation laws for fractional-order integro-differential equations
   
   TMF, 184:2 (2015),  179–199
9. Fractional differential equations: change of variables and nonlocal symmetries
   
   Ufimsk. Mat. Zh., 4:4 (2012),  54–68
10. Parallel two-grids algorithms for solution of anomalous diffusion equations of fractional order
    
    Vestn. YuUrGU. Ser. Vych. Matem. Inform., 2012, no. 2,  83–98
11. 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. 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
13. Cимметрийный подход к дифференциальным уравнениям дробного порядка
    
    Matem. Mod. Kraev. Zadachi, 3 (2008),  59–61
14. Идентификация параметров дифференциального уравнения субдиффузии
    
    Matem. Mod. Kraev. Zadachi, 3 (2005),  160–163