Numerical Approximations of a Dynamic System Containing Fractional Derivatives

Research Article

Numerical Approximations of a Dynamic System Containing Fractional Derivatives

Shaher Momani, Omar K. Jaradat and Rabha Ibrahim

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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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

Journal of Applied Sciences

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Authors

Shaher Momani

Omar K. Jaradat

Rabha Ibrahim

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Research Article

Numerical Approximations of a Dynamic System Containing Fractional Derivatives

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