An efficient new iterative method for finding exact solutions of nonlinear time-fractional partial differential equations
Articles
Hüseyin Koçak
University of Bath, UK
Ahmet Yıldırım
Ege University, Turkey; University of South Florida, USA
Published 2011-12-07
https://doi.org/10.15388/NA.16.4.14085
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Keywords

convergent series
fractional calculus
Caputo derivative
exact solution

How to Cite

Koçak H. and Yıldırım A. (2011) “An efficient new iterative method for finding exact solutions of nonlinear time-fractional partial differential equations”, Nonlinear Analysis: Modelling and Control, 16(4), pp. 403-414. doi: 10.15388/NA.16.4.14085.

Abstract

In this paper, a new iterative method (NIM) is used to obtain the exact solutions of some nonlinear time-fractional partial differential equations. The fractional derivatives are described in the Caputo sense. The method provides a convergent series with easily computable components in comparison with other existing methods.

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