Analytical Solutions of the One-Dimensional Heat Equations Arising in Fractal Transient Conduction with Local Fractional Derivative

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 theor...

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Bibliographic Details
Published in:Abstract and Applied Analysis 2013-01, Vol.2013 (2013), p.307-311-535
Main Authors: Yang, Ai-Ming, Cattani, Carlo, Jafari, Hossein, Yang, Xiao-Jun
Format: Article
Language:English
Subjects:
Boundary conditions
Colleges & universities
Cybernetics
Decomposition
Decomposition (Mathematics)
Heat equation
Mathematical research
Mathematics
Mechanics
Partial differential equations
Science
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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.
ISSN:1085-3375
1687-0409
DOI:10.1155/2013/462535