Back to Search
Start Over
Local fractional similarity solution for the diffusion equation defined on Cantor sets.
- Source :
-
Applied Mathematics Letters . Sep2015, Vol. 47, p54-60. 7p. - Publication Year :
- 2015
-
Abstract
- In this letter, the local fractional similarity solution is addressed for the non-differentiable diffusion equation. Structuring the similarity transformations via the rule of the local fractional partial derivative operators, we transform the diffusive operator into a similarity ordinary differential equation. The obtained result shows the non-differentiability of the solution suitable to describe the properties and behaviors of the fractal content. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 08939659
- Volume :
- 47
- Database :
- Academic Search Index
- Journal :
- Applied Mathematics Letters
- Publication Type :
- Academic Journal
- Accession number :
- 102316534
- Full Text :
- https://doi.org/10.1016/j.aml.2015.02.024