Local Fractional Laplace Variational Iteration Method for Solving Nonlinear Partial Differential Equations on Cantor Sets within Local Fractional Operators

Volume 16 , Issue 4 , October 2014 , Pages 49-57

Authors

¹ University of Mazandaran, Faculty of Mathematical Sciences, Department of Mathematics

² University of Thi-Qar, Faculty of Education for Pure Sciences, Department of Mathematics

In this work, we discuss solutions of the nonlinear partial differential equations on

Cantor sets within local fractional operators. The nondifferentiable approximate

solutions are obtained by using the local fractional Laplace variational iteration method,

which is the coupling method of local fractional variational iteration method and

Laplace transform. The obtained results show the efficiency and accuracy of implements

of the present method.

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