Application of the Local fractional Adomian Decomposition and Series Expansion Methods for Solving Telegraph Equation on Cantor Sets

Hossein Jafari1, Hassan Kamil Jassim2

1 Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran.
2 Department of Mathematics, Faculty of Education for Pure Sciences, University of Thi-Qar, Nasiriyah, Iraq.

In this paper, we will compare between the local fractional Adomian decomposition
method (LFADM) and local fractional series expansion method (LFSEM) for solving the
telegraph equation on Cantor sets within local fractional operator. The results obtained
by (LFADM) are compared with the results obtained by (LFSEM). Some examples are
given to illustrate the efficiency and accuracy of the presented methods.

Key Words: Fractional telegraph equation; Local fractional Adomian decomposition method; Local fractional series expansion method; Local fractional operators 


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