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

Aiming Yang | Zendy; Carlo Cattani | Zendy; Hossein Jafari | Zendy; XiaoJun Yang | Zendy

Open Access

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

Author(s) -

Aiming Yang,

Carlo Cattani,

Hossein Jafari,

XiaoJun Yang

Publication year - 2013

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2013/462535

Subject(s) - fractional calculus , mathematics , adomian decomposition method , thermal conduction , fractal , transient (computer programming) , derivative (finance) , mathematical analysis , partial differential equation , thermodynamics , physics , computer science , financial economics , economics , operating system

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

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