In this article, the local fractional variational iteration method is proposed to solve nonlinear partial differential equations within local fractional derivative operators. To illustrate the ability and reliability of the method, some examples are illustrated. A comparison between local fractional variational iteration method with the other numerical methods is given, revealing that the proposed method is capable of solving effectively a large number of nonlinear differential equations with high accuracy. In addition, we show that local fractional variational iteration method is able to solve a large class of nonlinear problems involving local fractional operators effectively, more easily and accurately, and thus it has been widely applicable in engineering and physics.
Jafari, Hossein and Jassim, Hassan K.
Local Fractional Variational Iteration Method for Solving Nonlinear Partial Differential Equations within Local Fractional Operators,
Applications and Applied Mathematics: An International Journal (AAM), Vol. 10,
2, Article 29.
Available at: https://digitalcommons.pvamu.edu/aam/vol10/iss2/29