Diffusion problems on fractional nonlocal media

• Authors: Alberto Sapora , Pietro Cornetti , Alberto Carpinteri
• Languages of publication: EN

Abstracts

EN

In this paper, the nonlocal diffusion in one-dimensional continua is investigated by means of a fractional calculus approach. The problem is set on finite spatial domains and it is faced numerically by means of fractional finite differences, both for what concerns the transient and the steady-state regimes. Nonlinear deviations from classical solutions are observed. Furthermore, it is shown that fractional operators possess a clear physical-mechanical meaning, representing conductors, whose conductance decays as a power-law of the distance, connecting non-adjacent points of the body.

Keywords

EN

nonlocal media; fractional calculus; heat conduction

• Publisher: De Gruyter Open
• Journal: Open Physics
• Year: 2013
• Volume: 11
• Issue: 10
• Pages: 1255-1261

Dates

published

1 - 10 - 2013

online

19 - 12 - 2013

Contributors

author

Alberto Sapora

• Department of Structural, Geotechnical and Building Engineering, Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129, Torino, Italy

author

Pietro Cornetti

• Department of Structural, Geotechnical and Building Engineering, Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129, Torino, Italy

author

Alberto Carpinteri

• Department of Structural, Geotechnical and Building Engineering, Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129, Torino, Italy

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Identifiers

DOI

10.2478/s11534-013-0323-0