In this paper, we apply a new method for solving system of partial differential equations within local fractional derivative operators. The approximate analytical 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. Illustrative examples are included to demonstrate the high accuracy and fast convergence of this new algorithm. The obtained results show that the introduced approach is a promising tool for solving system of linear and nonlinear local fractional differential equations. Furthermore, we show that local fractional Laplace 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 physics and engineering.
Jafari, Hossein and Jassim, Hassan K.
A New Approach for Solving System of Local Fractional Partial Differential Equations,
Applications and Applied Mathematics: An International Journal (AAM), Vol. 11,
1, Article 9.
Available at: https://digitalcommons.pvamu.edu/aam/vol11/iss1/9