### Local Fractional Variational Iteration Transform Method for Solving Couple Helmholtz Equations within Local Fractional Operator

Hassan Kamil Jassim

Department of Mathematics, Faculty of Education for Pure Sciences, University of Thi-Qar, Nasiriyah, Iraq.

Abstract

In this paper, we investigate the solution of Helmholtz and coupled Helmholtz equations
in two dimensional case, involving local fractional variation iteration method and Yang-
Laplace transform which is called local fractional Variational iteration transform method
(LFVITM). This method has Lagrange multiplier equal to -1, which makes the
calculations more easily .The obtained result shows that the proposed method is efficient
and accurate.

Key Words:
Helmholtz equation;
Coupled Helmholtz
Equation; Local
fractional variational
iteration method;
Yang-Laplace
transform; Local
fractional operator

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