Journal
CENTRAL EUROPEAN JOURNAL OF PHYSICS
Volume 11, Issue 10, Pages 1255-1261Publisher
SCIENDO
DOI: 10.2478/s11534-013-0323-0
Keywords
nonlocal media; fractional calculus; heat conduction
Categories
Funding
- Italian Ministry of Education, University and Research (MIUR)
Ask authors/readers for more resources
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.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available