A new approach for solving a system of fractional partial differential equations. (English) Zbl 1381.35221
Summary: In this paper we propose a new method for solving systems of linear and nonlinear fractional partial differential equations. This method is a combination of the Laplace transform method and the Iterative method and here after called the Iterative Laplace transform method. This method gives solutions without any discretization and restrictive assumptions. The method is free from round-off errors and as a result the numerical computations are reduced. The fractional derivative is described in the Caputo sense. Finally, numerical examples are presented to illustrate the preciseness and effectiveness of the new technique.
MSC:
| 35R11 | Fractional partial differential equations |
| 65M99 | Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems |
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