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Journal of Applied Sciences
  Year: 2008 | Volume: 8 | Issue: 6 | Page No.: 1079-1084
DOI: 10.3923/jas.2008.1079.1084
 
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Numerical Approximations of a Dynamic System Containing Fractional Derivatives

Shaher Momani, Omar K. Jaradat and Rabha Ibrahim

Abstract:
This study presents numerical methods-fractional difference and Adomian decomposition-for solution of a dynamic system containing fractional derivative of order α, 0<α<=1. The fractional derivative is described in the Caputo sense. The Adomian decomposition method provides the solution in the form of a convergent power series with easily computable components. Then the diagonal Pade approximants are effectively used in the analysis to capture the essential behavior of the solution. The presented schemes are introduced in a general way so that they can be used in applied sciences.
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How to cite this article:

Shaher Momani, Omar K. Jaradat and Rabha Ibrahim , 2008. Numerical Approximations of a Dynamic System Containing Fractional Derivatives. Journal of Applied Sciences, 8: 1079-1084.

DOI: 10.3923/jas.2008.1079.1084

URL: https://scialert.net/abstract/?doi=jas.2008.1079.1084

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