| Volume 5, Number 4, 2015, Pages 589-599 DOI：10.11948/2015046 |
| Analytical solution of time-fractional two-component evolutionary system of order 2 by residual power series method |
| Marwan Alquran |
| Keywords:Generalized Taylor series, residual power series, time-fractional two-component evolutionary system of order 2. |
| Abstract: |
| In this paper, we introduce and formulate a novel study of obtaining the approximate solutions to the generalized time-fractional two-component evolutionary system of order 2 subject to given constraints conditions based on the generalized Taylor series formula. Here, a very recent technique based on the so called residual power series method is extended to handle such system. The solution methodology is based on generating the multiple fractional power series expansion solutions in the form of a rabidly convergent series with minimum size of calculations. A detailed description of the method is given and the obtained results reveal that the technique is a new signi cant method for exploring linear and nonlinear fractional models. |
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