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oa An efficient algorithm on time-fractional partial differential equations with variable coefficients
- Source: QScience Connect, Volume 2014, Issue 1, Mar 2014, 7
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- 26 January 2014
- 17 February 2014
- 01 May 2014
Abstract
In this paper, a fractional complex transform (FCT) is used to convert the given fractional partial differential equations (FPDEs) into corresponding partial differential equations (PDEs), and subsequently reduced differential transform method (RDTM) is applied on the transformed PDEs. The results obtained are re-stated by making use of inverse transformation that yields in terms of original variables. It is observed that the proposed algorithm is highly efficient and appropriate for solving time fractional PDEs arising in mathematical physics, hence can be extended to other diverse problems.
© 2014 Ahmad, Mohyud-Din, licensee Bloomsbury Qatar Foundation Journals.