Fractional mechanical model for the dynamics of non-local continuum

被引:0
|
作者
Cottone, G. [1 ]
Paola, M. Di [1 ]
Zingales, M. [1 ]
机构
[1] Dipartimento di Ingegneria Strutturale, Geotecnica University of Palermo, Viale delle Scienze, 90128, Palermo, Italy
关键词
D O I
10.1007/978-0-387-76483-2_33
中图分类号
学科分类号
摘要
37
引用
收藏
页码:389 / 423
相关论文
共 50 条
  • [1] Non-local continuum mechanics and fractional calculus
    Lazopoulos, K. A.
    MECHANICS RESEARCH COMMUNICATIONS, 2006, 33 (06) : 753 - 757
  • [2] Fractional dynamics with non-local scaling
    Tarasov, Vasily E.
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2021, 102
  • [3] Non-Local Seismo-Dynamics: A Fractional Approach
    Uchaikin, Vladimir
    Kozhemiakina, Elena
    FRACTAL AND FRACTIONAL, 2022, 6 (09)
  • [4] Dynamics of non-local systems handled by fractional calculus
    Cottone, Giulio
    Di Paola, Mario
    Zingales, Massimiliano
    PROCEEDINGS OF THE WSEAS INTERNATIONAL CONFERENCE ON CIRCUITS, SYSTEMS, ELECTRONICS, CONTROL & SIGNAL PROCESSING: SELECTED TOPICS ON CIRCUITS, SYSTEMS, ELECTRONICS, CONTROL & SIGNAL PROCESSING, 2007, : 81 - 89
  • [5] Numerical dynamics and fractional modeling of hepatitis B virus model with and non-local kernels
    Liu, Peijiang
    Din, Anwarud
    Zarin, Rahat
    RESULTS IN PHYSICS, 2022, 39
  • [6] Non-local network dynamics via fractional graph Laplacians
    Benzi, Michele
    Bertaccini, Daniele
    Durastante, Fabio
    Simunec, Igor
    JOURNAL OF COMPLEX NETWORKS, 2020, 8 (03)
  • [7] Elastic waves propagation in 1D fractional non-local continuum
    Cottone, Giulio
    Di Paola, Mario
    Zingales, Massimiliano
    PHYSICA E-LOW-DIMENSIONAL SYSTEMS & NANOSTRUCTURES, 2009, 42 (02): : 95 - 103
  • [8] Analysis of non-local multicontinuum upscaling for dual continuum model
    Zhang, Jingyan
    Cheung, Siu Wun
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2022, 406
  • [9] From non-local Eringen's model to fractional elasticity
    Evgrafov, Anton
    Bellido, Jose C.
    MATHEMATICS AND MECHANICS OF SOLIDS, 2019, 24 (06) : 1935 - 1953
  • [10] A non-local coupling model involving three fractional Laplacians
    Garriz, A.
    Ignat, L. I.
    BULLETIN OF MATHEMATICAL SCIENCES, 2021, 11 (02)