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Series Solutions of Systems of Nonlinear Fractional Differential Equations.
- Source :
- Acta Applicandae Mathematicae; Feb2009, Vol. 105 Issue 2, p189-198, 10p, 5 Graphs
- Publication Year :
- 2009
-
Abstract
- Differential equations of fractional order appear in many applications in physics, chemistry and engineering. An effective and easy-to-use method for solving such equations is needed. In this paper, series solutions of the FDEs are presented using the homotopy analysis method (HAM). The HAM provides a convenient way of controlling the convergence region and rate of the series solution. It is confirmed that the HAM series solutions contain the Adomian decomposition method (ADM) solution as special cases. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 01678019
- Volume :
- 105
- Issue :
- 2
- Database :
- Complementary Index
- Journal :
- Acta Applicandae Mathematicae
- Publication Type :
- Academic Journal
- Accession number :
- 36063475
- Full Text :
- https://doi.org/10.1007/s10440-008-9271-x