Abstract:In this paper, we have applied a numerical method based on Boubaker polynomials to obtain approximate numerical solutions of multi-order fractional differential equations. We obtain an operational matrix of fractional integration based on Boubaker polynomials. Using this operational matrix, the given problem is converted into a set of algebraic equations. Illustrative examples are are given to demonstrate the efficiency and simplicity of this technique.
In the present paper, we apply the new iterative method which proposed by Daftardar-Gejji and Jafari to solve fractional Davey-Stewartson equations. The convergence of this method is proved. The results obtained by this method have been compared with the exact solutions and show that proposed method is accuracy and convenience for solving nonlinear fractional differential equations.
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