All Stories

  1. Semi-Markovian Discrete-Time Telegraph Process with Generalized Sibuya Waiting Times

    Article • Mathematics, January 2023, MDPI AG

    Thomas Michelitsch

  2. Squirrels can little remember: A random walk with jump reversals induced by a discrete-time renewal process

    Article • Communications in Nonlinear Science and Numerical Simulation, November 2022, Elsevier

    Thomas Michelitsch

  3. Asymmetric random walks with bias generated by discrete-time counting processes

    Article • Communications in Nonlinear Science and Numerical Simulation, June 2022, Elsevier

    Thomas Michelitsch

  4. Simple model of epidemic dynamics with memory effects

    Article • February 2022, American Physical Society (APS)

    Thomas Michelitsch

  5. Prabhakar Discrete-Time Generalization of the Time-Fractional Poisson Process and Related Random Walks

    Article • January 2022, Springer Science + Business Media

    Thomas Michelitsch

  6. On discrete time Prabhakar-generalized fractional Poisson processes and related stochastic dynamics

    Article • Physica A Statistical Mechanics and its Applications, March 2021, Elsevier

    Thomas Michelitsch

  7. A Markovian random walk model of epidemic spreading

    Article • Continuum Mechanics and Thermodynamics, January 2021, Springer Science + Business Media

    Thomas Michelitsch

  8. Biased Continuous-Time Random Walks with Mittag-Leffler Jumps

    Article • Fractal and Fractional, October 2020, MDPI AG

    Thomas Michelitsch

  9. Biased Continuous-Time Random Walks with Mittag-Leffler Jumps

    Article • October 2020, MDPI AG

    Thomas Michelitsch

  10. Nonlocal biased random walks and fractional transport on directed networks

    Article • August 2020, American Physical Society (APS)

    Thomas Michelitsch

  11. Generalized fractional Poisson process and related stochastic dynamics

    Article • Fractional Calculus and Applied Analysis, June 2020, De Gruyter

    Thomas Michelitsch

  12. Continuous time random walk and diffusion with generalized fractional Poisson process

    Article • Physica A Statistical Mechanics and its Applications, May 2020, Elsevier

    Thomas Michelitsch

  13. Generalized Space–Time Fractional Dynamics in Networks and Lattices

    Article • January 2020, Springer Science + Business Media

    Thomas Michelitsch

  14. Aging in transport processes on networks with stochastic cumulative damage

    Article • August 2019, American Physical Society (APS)

    Thomas Michelitsch

  15. Fractional Dynamics on Networks and Lattices

    Article • April 2019, Wiley

    Thomas Michelitsch

  16. Dimension-Reduced Model for Deep-Water Waves

    Article • Journal of Applied Mathematics and Physics, January 2019, Scientific Research Publishing, Inc,

    Thomas Michelitsch

  17. Acoustic emission detection of crystallization in two forms: monohydrate and anhydrous Citric Acid

    Article • Pharmaceutical Development and Technology, August 2018, Taylor & Francis

    Thomas Michelitsch

  18. Random walks with long-range steps generated by functions of Laplacian matrices

    Article • Journal of Statistical Mechanics Theory and Experiment, April 2018, Institute of Physics Publishing

    Thomas Michelitsch

  19. Nonlocal Approach to Square Lattice Dynamics

    Article • January 2018, Springer Science + Business Media

    Thomas Michelitsch

  20. On Recurrence and Transience of Fractional RandomWalks in Lattices

    Article • January 2018, Springer Science + Business Media

    Thomas Michelitsch

  21. Generalized Models and Non-classical Approaches in Complex Materials 2

    Article • January 2018, Springer Science + Business Media

    Thomas Michelitsch

  22. Non-Equilibrium Evaporation/Condensation Model

    Article • International Journal of Applied Mechanics, December 2017, World Scientific Pub Co Pte Lt

    Thomas Michelitsch

  23. Recurrence of random walks with long-range steps generated by fractional Laplacian matrices on regular networks and simple cubic lattices

    Article • Journal of Physics A Mathematical and Theoretical, November 2017, Institute of Physics Publishing

    Thomas Michelitsch

  24. Fractional random walk lattice dynamics

    Article • Journal of Physics A Mathematical and Theoretical, January 2017, Institute of Physics Publishing

    Thomas Michelitsch

  25. A fractional generalization of the classical lattice dynamics approach

    Article • Chaos Solitons & Fractals, November 2016, Elsevier

    Thomas Michelitsch

  26. Lattice fractional Laplacian and its continuum limit kernel on the finite cyclic chain

    Article • Chaos Solitons & Fractals, January 2016, Elsevier

    Thomas Michelitsch

  27. Revisiting finite difference and finite element methods applied to structural mechanics within enriched continua

    Article • European Journal of Mechanics - A/Solids, September 2015, Elsevier

    Thomas Michelitsch

  28. On Nonlocal Computation of Eigenfrequencies of Beams Using Finite Difference and Finite Element Methods

    Article • International Journal of Structural Stability and Dynamics, August 2015, World Scientific Pub Co Pte Lt

    Thomas Michelitsch

  29. Fractional Laplacian matrix on the finite periodic linear chain and its periodic Riesz fractional derivative continuum limit

    Article • Journal of Physics A Mathematical and Theoretical, July 2015, Institute of Physics Publishing

    Dr Franck Nicolleau, Thomas Michelitsch

  30. A nonlocal constitutive model generated by matrix functions for polyatomic periodic linear chains

    Article • Archive of Applied Mechanics, August 2014, Springer Science + Business Media

    Thomas Michelitsch

  31. Nonlocal constitutive laws generated by matrix functions: Lattice dynamics models and their continuum limits

    Article • International Journal of Engineering Science, July 2014, Elsevier

    Thomas Michelitsch

  32. On nonconservativeness of Eringen’s nonlocal elasticity in beam mechanics: correction from a discrete-based approach

    Article • Archive of Applied Mechanics, May 2014, Springer Science + Business Media

    Thomas Michelitsch

  33. A regularized representation of the fractional Laplacian in n dimensions and its relation to Weierstrass-Mandelbrot-type fractal functions

    Article • IMA Journal of Applied Mathematics, May 2014, Oxford University Press (OUP)

    Thomas Michelitsch

  34. The fractional Laplacian as a limiting case of a self-similar spring model and applications to n-dimensional anomalous diffusion

    Article • Fractional Calculus and Applied Analysis, January 2013, De Gruyter

    Dr Franck Nicolleau, Thomas Michelitsch

  35. An approach to generalized one-dimensional self-similar elasticity

    Article • International Journal of Engineering Science, December 2012, Elsevier

    Dr Franck Nicolleau, Thomas Michelitsch

  36. A continuum theory for one-dimensional self-similar elasticity and applications to wave propagation and diffusion

    Article • European Journal of Applied Mathematics, August 2012, Cambridge University Press

    Dr Franck Nicolleau, Thomas Michelitsch

  37. KS Input Spectrum, Some Fundamental Works on the Vibration Spectrum of a Self-similar Linear Chain

    Article • January 2012, Springer Science + Business Media

    Thomas Michelitsch

  38. Synthetic turbulence prediction in non-Kolmogorov turbulence

    Article • Journal of Physics Conference Series, December 2011, Institute of Physics Publishing

    Thomas Michelitsch

  39. The self-similar field and its application to a diffusion problem

    Article • Journal of Physics A Mathematical and Theoretical, October 2011, Institute of Physics Publishing

    Thomas Michelitsch

  40. Wave Propagation in Quasi-continuous Linear Chains with Self-similar Harmonic Interactions: Towards a Fractal Mechanics

    Article • January 2011, Springer Science + Business Media

    Dr Franck Nicolleau, Thomas Michelitsch

  41. Dispersion relations and wave operators in self-similar quasicontinuous linear chains

    Article • Physical Review E, July 2009, American Physical Society (APS)

    Thomas Michelitsch

  42. Analysis of the vibrational mode spectrum of a linear chain with spatially exponential properties

    Article • International Journal of Engineering Science, February 2009, Elsevier

    Dr Franck Nicolleau, Thomas Michelitsch

  43. The reciprocal theorem and rigid spherical inclusionvis-à-viscertain point singularities

    Article • The Philosophical Magazine A Journal of Theoretical Experimental and Applied Physics, October 2007, Taylor & Francis

    Thomas Michelitsch

  44. Critical wave lengths and instabilities in gradient-enriched continuum theories

    Article • Mechanics Research Communications, October 2007, Elsevier

    Thomas Michelitsch

  45. A general procedure for solving boundary-value problems of elastostatics for a spherical geometry based on Love's approach

    Article • The Quarterly Journal of Mechanics and Applied Mathematics, March 2007, Oxford University Press (OUP)

    Thomas Michelitsch

  46. A note on the formula for the Rayleigh wave speed

    Article • Wave Motion, January 2006, Elsevier

    Thomas Michelitsch

  47. On the retarded potentials of inhomogeneous ellipsoids and sources of arbitrary shapes in the three-dimensional infinite space

    Article • International Journal of Solids and Structures, January 2005, Elsevier

    Thomas Michelitsch

  48. On the solution of the dynamic Eshelby problem for inclusions of various shapes

    Article • International Journal of Solids and Structures, January 2005, Elsevier

    Thomas Michelitsch

  49. Dynamic fiber inclusions with elliptical and arbitrary cross-sections and related retarded potentials in a quasi-plane piezoelectric medium

    Article • International Journal of Solids and Structures, November 2003, Elsevier

    Thomas Michelitsch

  50. On the Dynamic Potentials of Ellipsoidal Shells

    Article • The Quarterly Journal of Mechanics and Applied Mathematics, November 2003, Oxford University Press (OUP)

    Thomas Michelitsch

  51. Dynamic Eshelby tensor and potentials for ellipsoidal inclusions

    Article • Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences, April 2003, Royal Society Publishing

    Thomas Michelitsch

  52. Dynamic potentials and Green's functions of a quasi–plane piezoelectric medium with inclusion

    Article • Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences, October 2002, Royal Society Publishing

    Thomas Michelitsch

  53. Propagation of electroacoustic waves in the transversely isotropic piezoelectric medium reinforced by randomly distributed cylindrical inhomogeneities

    Article • International Journal of Solids and Structures, September 2002, Elsevier

    Thomas Michelitsch

  54. Modeling of the dynamic effective characteristics of fiber-reinforced transversely isotropic piezoelectric materials

    Article • July 2002, SPIE

    Thomas Michelitsch

  55. Article • Zeitschrift für angewandte Mathematik und Physik, July 2002, Springer Science + Business Media

    Thomas Michelitsch

  56. Scattering of acoustoelectric waves on a cylindrical inhomogeneity in the transversely isotropic piezoelectric medium

    Article • July 2001, SPIE

    Thomas Michelitsch

  57. Article • Mechanics of Composite Materials, January 2001, Springer Science + Business Media

    Thomas Michelitsch

  58. Spheroidal inhomogeneity in a transversely isotropic piezoelectric medium

    Article • Archive of Applied Mechanics, December 2000, Springer Science + Business Media

    Thomas Michelitsch

  59. Inclusions and inhomogeneities in electroelastic media with hexagonal symmetry

    Article • The European Physical Journal B, March 2000, Springer Science + Business Media

    Thomas Michelitsch

  60. Inclusion and Inhomogeneity Problems in the Hexagonal Electroelastic Medium

    Article • physica status solidi (b), October 1999, Wiley

    Thomas Michelitsch

  61. A simple model for the nonlinear material behavior of ferroelectrics

    Article • Acta Materialia, September 1998, Elsevier

    Thomas Michelitsch

  62. Theory of Small-Angle X-Ray Scattering Caused by Incompatibilities in Elastic Anisotropic Media and the Application to Dislocations in H.C.P. Crystals

    Article • physica status solidi (b), September 1997, Wiley

    Thomas Michelitsch

  63. Calculation of the electroelastic Green’s function of the hexagonal infinite medium

    Article • Zeitschrift für Physik B Condensed Matter, March 1997, Springer Science + Business Media

    Thomas Michelitsch

  64. On the Theory of Huang X-Ray Scattering Caused by Point Defects in Hexagonal Crystals

    Article • physica status solidi (b), December 1996, Wiley

    Thomas Michelitsch

  65. Solution of the incompatibility problem in linear three-dimensional anisotropic media for an isotropic incompatibility tensor

    Article • physica status solidi (b), May 1996, Wiley

    Thomas Michelitsch

  66. Continuum theory of the volume effect caused by point defects in hexagonal media

    Article • Zeitschrift für Physik B Condensed Matter, March 1996, Springer Science + Business Media

    Thomas Michelitsch

  67. Fundamental solution of the incompatibility problem in three-dimensional infinite anisotropic elasticity theory

    Article • Acta Mechanica, March 1996, Springer Science + Business Media

    Thomas Michelitsch

  68. Stress functions and internal stresses in linear three-dimensional anisotropic elasticity

    Article • Zeitschrift für Physik B Condensed Matter, March 1996, Springer Science + Business Media

    Thomas Michelitsch