Journal
APPLIED MATHEMATICS LETTERS
Volume 47, Issue -, Pages 54-60Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.aml.2015.02.024
Keywords
Similarity solution; Diffusion equation; Non-differentiability; Local fractional derivative; Local fractional partial derivative operators
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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. (C) 2015 Published by Elsevier Ltd.
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