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Matthias Hinze


Institute for Nonlinear Mechanics


Pfaffenwaldring 9
70569 Stuttgart


Research projects:

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.  PDFLink

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

Since 2017 Research and teaching assistant at the Institute for Nonlinear Mechanics, University of Stuttgart
2017 Diploma in Mathematics and M. Ed. in Mathematics and Physics, Leipzig University
2016 Internship at DBE TECHNOLOGY GmbH, Peine, Germany
2009 - 2017 Studies in Mathematics, Physics and Education, Leipzig University
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