Local Fractional Adomian Decomposition and Function Decomposition Methods for Laplace Equation within Local Fractional Operators | Zendy

Sheng-Ping Yan | Zendy; Hossein Jafari | Zendy; Hassan Kamil Jassim | Zendy

Open Access

Local Fractional Adomian Decomposition and Function Decomposition Methods for Laplace Equation within Local Fractional Operators

Author(s) -

Sheng-Ping Yan,

Hossein Jafari,

Hassan Kamil Jassim

Publication year - 2014

Publication title -

advances in mathematical physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.283

H-Index - 23

eISSN - 1687-9139

pISSN - 1687-9120

DOI - 10.1155/2014/161580

Subject(s) - adomian decomposition method , fractional calculus , laplace transform , mathematics , decomposition , decomposition method (queueing theory) , laplace's equation , mathematical analysis , function (biology) , green's function for the three variable laplace equation , differential equation , inverse laplace transform , statistics , ecology , evolutionary biology , biology

We perform a comparison between the local fractional Adomian decomposition and local fractional function decomposition methods applied to the Laplace equation. The operators are taken in the local sense. The results illustrate the significant features of the two methods which are both very effective and straightforward for solving the differential equations with local fractional derivative

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