ITM Web Conf.
Volume 13, 20172nd International Conference on Computational Mathematics and Engineering Sciences (CMES2017)
|Number of page(s)||11|
|Published online||02 October 2017|
The Numerical Solution of Fractional Bratu-Type Differential Equations
* Department of Mathematics, Manisa Celal Bayar University, Manisa, Turkey
This paper introduce the differential transform method (DTM) to solve the fractional Bratu-type differential equation modeling a combustion in numerical slab. For the definition of fractional derivative, the Caputo sense is used. The result corresponds to the exact solution when the obtained solution is constructed as power series for some values of fractional order. Finally, some examples are presented to indicate the efficiency of applied method. Comparison of the results obtained by DTM with those obtained by other methods is given.
Key words: Fractional Bratu-type differential equation / DTM / Caputo sense fractional derivative
© The authors, published by EDP Sciences, 2017
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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