Mathematical modeling of time fractional reaction–diffusion systems V Gafiychuk, B Datsko, V Meleshko Journal of Computational and Applied Mathematics 220 (1-2), 215-225, 2008 | 284 | 2008 |
Analysis of the solutions of coupled nonlinear fractional reaction–diffusion equations V Gafiychuk, B Datsko, V Meleshko, D Blackmore Chaos, Solitons & Fractals 41 (3), 1095-1104, 2009 | 102 | 2009 |
Mathematical modeling of different types of instabilities in time fractional reaction-diffusion systems V Gafiychuk, B Datsko Computers & Mathematics with Applications 59 (3), 1101-1107, 2010 | 98 | 2010 |
Pattern formation in a fractional reaction–diffusion system VV Gafiychuk, BY Datsko Physica A: Statistical Mechanics and its Applications 365 (2), 300-306, 2006 | 84 | 2006 |
Stability analysis and oscillatory structures in time-fractional reaction-diffusion systems VV Gafiychuk, BY Datsko Physical Review E 75 (5), 055201, 2007 | 64 | 2007 |
Stability analysis and limit cycle in fractional system with Brusselator nonlinearities V Gafiychuk, B Datsko Physics Letters A 372 (29), 4902-4904, 2008 | 54 | 2008 |
Analysis of data clusters obtained by self-organizing methods VV Gafiychuk, BY Datsko, J Izmaylova Physica A: Statistical Mechanics and its Applications 341, 547-555, 2004 | 48 | 2004 |
Spatiotemporal pattern formation in fractional reaction-diffusion systems with indices of different order VV Gafiychuk, BY Datsko Physical Review E 77 (6), 066210, 2008 | 38 | 2008 |
Complex nonlinear dynamics in subdiffusive activator–inhibitor systems B Datsko, V Gafiychuk Communications in Nonlinear Science and Numerical Simulation 17 (4), 1673-1680, 2012 | 34 | 2012 |
Analysis of fractional order Bonhoeffer–van der Pol oscillator V Gafiychuk, B Datsko, V Meleshko Physica A: Statistical Mechanics and its Applications 387 (2-3), 418-424, 2008 | 33 | 2008 |
Pattern formation in fractional reaction–diffusion systems with multiple homogeneous states B Datsko, Y Luchko, V Gafiychuk International Journal of Bifurcation and Chaos 22 (04), 1250087, 2012 | 32 | 2012 |
Complex spatio-temporal solutions in fractional reaction-diffusion systems near a bifurcation point B Datsko, V Gafiychuk Fractional Calculus and Applied Analysis 21 (1), 237-253, 2018 | 28 | 2018 |
Recent advances in numerical methods for partial fractional differential equations I Podlubny, T Skovranek, B Datsko Proceedings of the 2014 15th International Carpathian Control Conference …, 2014 | 23 | 2014 |
Solitary travelling auto-waves in fractional reaction–diffusion systems B Datsko, V Gafiychuk, I Podlubny Communications in Nonlinear Science and Numerical Simulation 23 (1-3), 378-387, 2015 | 22 | 2015 |
Different types of instabilities and complex dynamics in reaction-diffusion systems with fractional derivatives V Gafiychuk, B Datsko | 22 | 2012 |
Fast heat propagation in living tissue caused by branching artery network VV Gafiychuk, IA Lubashevsky, BY Datsko Physical Review E 72 (5), 051920, 2005 | 19 | 2005 |
Time-fractional diffusion-wave equation with mass absorption in a sphere under harmonic impact B Datsko, I Podlubny, Y Povstenko Mathematics 7 (5), 433, 2019 | 17 | 2019 |
Complex oscillations and limit cycles in autonomous two-component incommensurate fractional dynamical systems B Datsko, Y Luchko Mathematica Balkanica, 2012 | 16 | 2012 |
Mathematical modeling of pattern formation in sub-and supperdiffusive reaction-diffusion systems V Gafiychuk, B Datsko, V Meleshko arXiv preprint nlin/0611005, 2006 | 16 | 2006 |
Inhomogeneous oscillatory solutions in fractional reaction–diffusion systems and their computer modeling V Gafiychuk, B Datsko Applied mathematics and computation 198 (1), 251-260, 2008 | 15 | 2008 |