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Yang, Ai-Ming; Cattani, Carlo; Jafari, Hossein; Yang, Xiao-Jun

Analytical solutions of the one-dimensional heat equations arising in fractal transient conduction with local fractional derivative. (English) Zbl 1291.35016

Abstr. Appl. Anal. 2013, Article ID 462535, 5 p. (2013).
Summary: The one-dimensional heat equations with the heat generation arising in fractal transient conduction associated with local fractional derivative operators are investigated. Analytical solutions are obtained by using the local fractional Adomian decomposition method via local fractional calculus theory. The method in general is easy to implement and yields good results. Illustrative examples are included to demonstrate the validity and applicability of the new technique.

Cited in 4 Documents

MSC:

35C05 Solutions to PDEs in closed form
35R11 Fractional partial differential equations
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