
	Journal of Applied Sciences
	Year: 2008 \| Volume: 8 \| Issue: 6 \| Page No.: 1079-1084 DOI: 10.3923/jas.2008.1079.1084

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.

PDF Fulltext XML References Citation Report Citation

RELATED ARTICLES:

•	Evaluating the Ability of Modified Adomian Decomposition Method to Simulate the Instability of Freestanding Carbon Nanotube: Comparison with Conventional Decomposition Method

•	Efficiency of Modified Adomian Decomposition for Simulating the Instability of Nano-electromechanical Switches: Comparison with the Conventional Decomposition Method

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

COMMENT ON THIS PAPER

Navigation


		Online First
		Current Issue
		Previous Issues
		Editorial Board
		Submit a Manuscript
		Guide to Authors
		Subscribe to E-alerts

Indexed In


		AGRIS
		ASCI-Database
		Asian Digital Library
		Chemical Abstract Services
		Google Scholar

Science Alert