Nonlocal elasticity: an approach based on fractional calculus

Author:

Carpinteri Alberto,Cornetti Pietro,Sapora Alberto

Publisher

Springer Science and Business Media LLC

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Reference40 articles.

1. Mainardi F (2010) Fractional calculus and waves in linear viscoelasticity: an introduction to mathematical models. Imperial College Press, London

2. Rossikhin YA, Shitikova MV (2010) Application of fractional calculus for dynamic problems of solid mechanics: novel trends and recent results. Appl Mech Rev 63(010801):1–52

3. Mainardi F, Luchko Y, Pagnini G (2001) The fundamental solution of the space-time fractional diffusion equation. Fract Calc Appl Anal 4:153–192

4. Metzler R, Nonnenmacher TF (2002) Space- and time-fractional diffusion and wave equations, fractional Fokker–Planck equations, and physical motivation. Chem Phys 284:67–90

5. Zoia A, Rosso A, Kardar M (2007) Fractional laplacian in bounded domains. Phys Rev E 76(021116):1–11

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