期刊
CENTRAL EUROPEAN JOURNAL OF PHYSICS
卷 11, 期 10, 页码 1255-1261出版社
SCIENDO
DOI: 10.2478/s11534-013-0323-0
关键词
nonlocal media; fractional calculus; heat conduction
资金
- Italian Ministry of Education, University and Research (MIUR)
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.
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