WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 17, 2018
Analytical Solutions of a 1D Time-Fractional Coupled Burger Equation via Fractional Complex Transform
Authors: , ,
Abstract: In this paper, we obtain analytical solutions of a system of time-fractional coupled Burger equation of one-dimensional form via the application of Fractional Complex Transform (FCT) coupled with a modified differential transform method (MDTM) in comparison with Adomian Decomposition Method (ADM). The associated fractional derivatives are defined in terms of Jumarie’s sense. Illustrative cases are considered in clarifying the effectiveness of the proposed technique. The method requires minimal knowledge of fractional calculus. Neither linearization nor discretization is involved. The results are also presented graphically for proper illustration and efficiency is ascertained. Hence, the recommendation of the method for linear and nonlinear space-fractional models.
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Keywords: Fractional calculus, Adomian decomposition method, fractional complex transform, MDTM, coupled Burger equation
Pages: 229-236
WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 17, 2018, Art. #29