Finite-dimensional diffusion models of heat transfer in fractal mediums involving local fractional derivatives

  • Amar Debbouche
  • Valery Antonov

Abstract

We investigate non-differentiable analytical solutions of diffusion equations arising in fractal heat transfer. The originality of this contribution is being to extend previous recent works to n-dimensional spaces. For the main results, we use both Adomian decomposition method & variational iteration method in the sense of local fractional operators. We have shown sample and efficient features of the presented techniques to implement fractal heat transfer models. Examples are also given to illustrate the obtained results.

Published
Aug 26, 2017
How to Cite
DEBBOUCHE, Amar; ANTONOV, Valery. Finite-dimensional diffusion models of heat transfer in fractal mediums involving local fractional derivatives. Nonlinear Studies, [S.l.], v. 24, n. 3, p. 527-535, aug. 2017. ISSN 2153-4373. Available at: <http://nonlinearstudies.com/index.php/nonlinear/article/view/1385>. Date accessed: 15 dec. 2017.