Estimation of parameters in fractional subdiffusion equations by the time integral characteristics method. - Stanislav Yu. Lukashchuk (Comput. Math. Appl., 2011)

An approximate solution method for ordinary fractional differential equations with the Riemann-Liouville fractional derivatives. - Stanislav Yu. Lukashchuk (Commun. Nonlinear Sci. Numer. Simul., 2014)

Group classification of nonlinear time-fractional diffusion equation with a source term. - Stanislav Yu. Lukashchuk; A. V. Makunin (Appl. Math. Comput., 2015)

Nonlinear self-adjointness, conservation laws and exact solutions of time-fractional Kompaneets equations. - Rafail K. Gazizov; Nail H. Ibragimov; Stanislav Yu. Lukashchuk (Commun. Nonlinear Sci. Numer. Simul., 2015)

Approximate conservation laws for fractional differential equations. - Stanislav Yu. Lukashchuk (Commun. Nonlinear Sci. Numer. Simul., 2019)

Symmetry Group Classification and Conservation Laws of the Nonlinear Fractional Diffusion Equation with the Riesz Potential. - Nikita S. Belevtsov; Stanislav Yu. Lukashchuk (Symmetry, 2020)

A fast algorithm for fractional Helmholtz equation with application to electromagnetic waves propagation. - Nikita S. Belevtsov; Stanislav Yu. Lukashchuk (Appl. Math. Comput., 2022)