| Citation: |
Linjun Wang, Fang Wang. APPROXIMATE SOLUTIONS FOR TIME-FRACTIONAL TWO-COMPONENT EVOLUTIONARY SYSTEM OF ORDER 2 USING COUPLED FRACTIONAL REDUCED DIFFERENTIAL TRANSFORM METHOD[J]. Journal of Applied Analysis & Computation, 2017, 7(4): 1312-1322. doi: 10.11948/2017080
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APPROXIMATE SOLUTIONS FOR TIME-FRACTIONAL TWO-COMPONENT EVOLUTIONARY SYSTEM OF ORDER 2 USING COUPLED FRACTIONAL REDUCED DIFFERENTIAL TRANSFORM METHOD
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Abstract
In this paper, Coupled Fractional Reduced Differential Transform method is extended to apply to the generalized time-fractional two-component evolutionary system of order 2. By using this method, the solutions in the form of a generalized Taylor series are obtained. The graphics of numerical solutions together with the error analysis demonstrate that the present method is effective and accurate for obtaining approximate solutions of fractional coupled equations. Moreover, the results also indicate that the solutions obtained by residual power series method in previous literature (M. Alquran, Analytical solution of time-fractional two-component evolutionary system of order 2 by residual power series method, J. Appl. Anal. Comput.,5(2015)(4), 589-599.) contain errors. -
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References
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Linjun Wang, Fang Wang. APPROXIMATE SOLUTIONS FOR TIME-FRACTIONAL TWO-COMPONENT EVOLUTIONARY SYSTEM OF ORDER 2 USING COUPLED FRACTIONAL REDUCED DIFFERENTIAL TRANSFORM METHOD[J]. Journal of Applied Analysis & Computation, 2017, 7(4): 1312-1322. doi: 10.11948/2017080
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