Generalized Space–Time Fractional Dynamics in Networks and Lattices

Autor: Andrzej F. Nowakowski, Thomas M. Michelitsch, Alejandro P. Riascos, Franck C. G. A. Nicolleau, Bernard Collet

Publikováno v: Nonlinear Wave Dynamics of Materials and Structures. Advanced Structured Materials
H Altenbach, V Eremeyev, I Pavlov, A. Porubov. Nonlinear Wave Dynamics of Materials and Structures. Advanced Structured Materials, 122, Springer, Cam, pp.221-249, 2020, Advanced Structured Materials, 978-3-030-38707-5. ⟨10.1007/978-3-030-38708-2_14⟩
Springer
Advanced Structured Materials ISBN: 9783030387075

International audience; We analyze generalized space-time fractional motions on undirected networks and lattices. The continuous-time random walk (CTRW) approach of Montroll and Weiss is employed to subordinate a space fractional walk to a generaliza

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::91bfdc8c64a99231ad9fa00b75aab87d
https://hal.archives-ouvertes.fr/hal-02314815

Correction to: Generalized Models and Non-classical Approaches in Complex Materials 2

Autor: Bernard Collet, Martine Rousseau, Joël Pouget, Holm Altenbach, Thomas M. Michelitsch

Publikováno v: Advanced Structured Materials ISBN: 9783319775036

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::0a198aab900ca72c6144f4c35d7fc1e5
https://doi.org/10.1007/978-3-319-77504-3_16

Generalized Models and Non-classical Approaches in Complex Materials 1

Autor: Holm Altenbach, Joël Pouget, Martine Rousseau, Bernard Collet, Thomas Michelitsch

This book is the first of 2 special volumes dedicated to the memory of Gérard Maugin. Including 40 papers that reflect his vast field of scientific activity, the contributions discuss non-standard methods (generalized model) to demonstrate the wide

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

Autor: Bernard Collet, Alejandro P. Riascos, Thomas M. Michelitsch, Franck C. G. A. Nicolleau, Andrzej F. Nowakowski

Publikováno v: Journal of Physics IOP (C.S.)
Journal of Physics IOP (C.S.), IOP Publishing, 2017, ⟨10.1088/1751-8121/aa9008⟩
Journal of Physics IOP (C.S.), 2017, ⟨10.1088/1751-8121/aa9008⟩

We analyze a random walk strategy on undirected regular networks involving power matrix functions of the type $L^{\frac{\alpha}{2}}$ where $L$ indicates a `simple' Laplacian matrix. We refer such walks to as `Fractional Random Walks' with admissible

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d2e7ccaa5390d98a579ad671d68f96c7
https://hal.archives-ouvertes.fr/hal-01543330

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

Autor: Quan Wang, J. N. Reddy, Bernard Collet, Noël Challamel, Chien Ming Wang, Thomas M. Michelitsch, Zhen Zhang

Publikováno v: Archive of Applied Mechanics
Archive of Applied Mechanics, 2014, 84 (9-11), pp.1275-1292. ⟨10.1007/s00419-014-0862-x⟩
Archive of Applied Mechanics, Springer Verlag, 2014, 84 (9-11), pp.1275-1292. ⟨10.1007/s00419-014-0862-x⟩

International audience; In this paper, the self-adjointness of Eringen's nonlocal elasticity is investigated based on simple one-dimensional beam models. It is shown that Eringen's model may be nonself-adjoint and that it can result in an unexpected

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2fe88302835183f191cf04dc303e0bf4
https://doi.org/10.1007/s00419-014-0862-x