Applications of fractional calculus to dynamic problems of linear and nonlinear hereditary mechanics of solids YA Rossikhin, MV Shitikova Applied Mechanics Reviews 50 (1), 15-67, 1997 | 1039 | 1997 |
Non-Smooth Thermomechanics. M Fremond MV Shitikova APPLIED MECHANICS REVIEWS 55 (5), B99-B99, 2002 | 812* | 2002 |
Application of fractional calculus for dynamic problems of solid mechanics: novel trends and recent results YA Rossikhin, MV Shitikova | 810 | 2010 |
Evolution Equations in Thermoelasticity. Song Jiang and E Racke MV Shitikova APPLIED MECHANICS REVIEWS 55 (1), B17-B17, 2002 | 286* | 2002 |
Application of fractional derivatives to the analysis of damped vibrations of viscoelastic single mass systems YA Rossikhin, MV Shitikova Acta Mechanica 120 (1), 109-125, 1997 | 263 | 1997 |
A new method for solving dynamic problems of fractional derivative viscoelasticity YA Rossikhin, MV Shitikova International Journal of Engineering Science 39 (2), 149-176, 2001 | 197 | 2001 |
Application of fractional calculus for analysis of nonlinear damped vibrations of suspension bridges YA Rossikhin, MV Shitikova Journal of Engineering Mechanics 124 (9), 1029-1036, 1998 | 124 | 1998 |
Ray method for solving dynamic problems connected with propagation of wave surfaces of strong and weak discontinuities YA Rossikhin, MV Shitikova Applied Mechanics Reviews 48 (1), 1-39, 1995 | 114 | 1995 |
Analysis of dynamic behaviour of viscoelastic rods whose rheological models contain fractional derivatives of two different orders YA Rossikhin, MV Shitikova ZAMM‐Journal of Applied Mathematics and Mechanics/Zeitschrift für Angewandte …, 2001 | 94 | 2001 |
New approach for the analysis of damped vibrations of fractional oscillators YA Rossikhin, MV Shitikova Shock and Vibration 16 (4), 365-387, 2009 | 90 | 2009 |
Analysis of free non-linear vibrations of a viscoelastic plate under the conditions of different internal resonances YA Rossikhin, MV Shitikova International Journal of Non-Linear Mechanics 41 (2), 313-325, 2006 | 87 | 2006 |
Analysis of the viscoelastic rod dynamics via models involving fractional derivatives or operators of two different orders YA Rossikhin, MV Shitikova Shock and Vibration Digest 36 (1), 3-22, 2004 | 87 | 2004 |
A ray method of solving problems connected with a shock interaction YA Rossikhin, MV Shitikova Acta Mechanica 102 (1), 103-121, 1994 | 86 | 1994 |
Comparative analysis of viscoelastic models involving fractional derivatives of different orders Y Rossikhin, M Shitikova Fractional Calculus and Applied Analysis 10 (2), 111-121, 2007 | 85 | 2007 |
On fallacies in the decision between the Caputo and Riemann–Liouville fractional derivatives for the analysis of the dynamic response of a nonlinear viscoelastic oscillator YA Rossikhin, MV Shitikova Mechanics Research Communications 45, 22-27, 2012 | 83 | 2012 |
Analysis of rheological equations involving more than one fractional parameters by the use of the simplest mechanical systems based on these equations YA Rossikhin, MV Shitikova Mechanics of time-dependent materials 5, 131-175, 2001 | 72 | 2001 |
Two approaches for studying the impact response of viscoelastic engineering systems: An overview YA Rossikhin, MV Shitikova Computers & Mathematics with Applications 66 (5), 755-773, 2013 | 66 | 2013 |
Transient response of thin bodies subjected to impact: Wave approach YA Rossikhin, MV Shitikova Shock and Vibration Digest 39 (4), 273-312, 2007 | 66 | 2007 |
Analysis of nonlinear free vibrations of suspension bridges YA Rossikhin, MV Shitikova Journal of Sound and Vibration 186 (3), 369-393, 1995 | 61 | 1995 |
Analysis of damped vibrations of linear viscoelastic plates with damping modeled with fractional derivatives YA Rossikhin, MV Shitikova Signal processing 86 (10), 2703-2711, 2006 | 60 | 2006 |