Concepedia

A discussion on nonlocality: From fractional derivative model to peridynamic model

HongGuang Sun, Yuanyuan Wang, Lin Yu, Xiangnan Yu

Communications in Nonlinear Science and Numerical Simulation · 2022 · 11 citations · 36 references

DOI

Concepts

References

36

The random walk's guide to anomalous diffusion: a fractional dynamics approach

Ralf Metzler, J. Klafter · Physics Reports · 2000 · 8.9K citations

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Fractional kinetic equations: solutions and applications

Alexander I. Saichev, George M. Zaslavsky · Chaos An Interdisciplinary Journal of Nonlinear Science · 1997 · 896 citations

, , +14

Analysis and Approximation of Nonlocal Diffusion Problems with Volume Constraints

Qiang Du, Max Gunzburger, Richard B. Lehoucq et al. · SIAM Review · 2012 · 587 citations

, , +17

Lévy flights in external force fields: Langevin and fractional Fokker-Planck equations and their solutions

Sune Nørhøj Jespersen, Ralf Metzler, Hans C. Fogedby · Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics · 1999 · 401 citations · Full text

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Stress-driven versus strain-driven nonlocal integral model for elastic nano-beams

Giovanni Romano, Raffaele Barretta · Composites Part B Engineering · 2017 · 332 citations

, , +12