Local Fractional Adomain Decomposition Method for Solving Two Dimensional Heat conduction Equations within Local Fractional Operators

Authors

  • hassan kamil jassim University of Thi-Qar, Faculty of Education for Pure Sciences Nassiria
  • Hossein Jafari University of Mazandaran, Faculty of Mathematical Sciences Babolsar

DOI:

https://doi.org/10.24297/jam.v9i4.2385

Keywords:

Local fractional Adomian decomposition method, Heat conduction equation, Local fractional operator

Abstract

In this paper, the two-dimensional heat conduction equations with local fractional derivative operators are investigated. Analytical solutions are obtained by using the local fractional Adomian decomposition method. The results obtained show that the numerical method based on the proposed technique gives us the exact solution Illustrative examples are included to demonstrate the validity and applicability of the new technique.

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Author Biographies

hassan kamil jassim, University of Thi-Qar, Faculty of Education for Pure Sciences Nassiria

Department of Mathematics

Hossein Jafari, University of Mazandaran, Faculty of Mathematical Sciences Babolsar

Department of Mathematics

Published

2014-10-02

How to Cite

jassim, hassan kamil, & Jafari, H. (2014). Local Fractional Adomain Decomposition Method for Solving Two Dimensional Heat conduction Equations within Local Fractional Operators. JOURNAL OF ADVANCES IN MATHEMATICS, 9(4), 2574–2582. https://doi.org/10.24297/jam.v9i4.2385

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Articles