Matthias Hinze

Hinze, M., Schmidt, A., Leine, R.I.: "Finite Element Formulation of Fractional Constitutive Laws Using the Reformulated Infinite State Representation", Fractal Fractional, Vol. 5, pp.132., 2021. PDF Link 

Hinze, M., Schmidt, A., Leine, R.I.: "The direct method of Lyapunov for nonlinear dynamical systems with fractional damping", Nonlinear Dynamics, Vol. 102(4), pp. 2017-2037, 2020. PDF, Link

Schmidt, A., Beyer, H.R., Hinze, M., Vandoros, E.N.: "Finite element approach for the solution of first-order differential equations", Journal of Applied Mathematics and Physics, Vol. 8(10), pp. 2072-2090, 2020. PDF, Link

Hinze, M., Schmidt, A. and Leine, R.I.: "Lyapunov stability of a fractionally damped oscillator with linear (anti-)damping",  International Journal of Nonlinear Science and Numerical Simulation, Vol. 21(5), pp. 425-442, 2020.  PDF,  Link

Hinze, M., Schmidt, A. and Leine, R.I.: "Numerical solution of fractional-order ordinary differential equations using the reformulated infinite state representation", in Fractional Calculus and Applied Analysis, Vol. 22(5), pp. 1321-1350, 2019. PDF, Link

Hinze, M., Schmidt, A. and Leine, R.I.: "Numerical Simulation of Fractionally Damped Mechanical Systems Using Infinite State Representation", Proceedings of the 2019 International Conference on Fractional Calculus Theory and Applications, Bourges, France, 2019. PDF

Hinze, M., Schmidt, A. and Leine, R.I.: "Mechanical Representation and Stability of Dynamical Systems Containing Fractional Springpot Elements", Proc. IDETC, Quebec, Canada, 2018. PDF

Mittag-Leffler-Funktionen, fraktionale Infinitesimalrechnung und deren Anwendung zur Beschreibung des viskoelastischen Verhaltens von Beton. Universität Leipzig, Mathematisches Institut (2016). PDF

• Technische Mechanik I (Assistent - WS 2017/18)
• Nonlinear Dynamics of Mechanical Systems/ Nichtlineare Dynamik mechanischer Systeme (Assistent - WS 2018/19, WS 2019/20, WS 2020/21)