Computational algorithms for computing the fractional derivatives of functions

Authors:
Zaid M. Odibat
Affiliations:
Prince Abdullah Bin Ghazi Faculty of Science and IT, Al-Balqa' Applied University, Salt 19117, Jordan
Venue:
Mathematics and Computers in Simulation
Year:
2009

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Abstract

In this paper, we propose algorithms to compute the fractional derivatives of a function by a weighted sum of function values at specified points. The fractional derivatives are considered in the Caputo sense. The error analysis of the algorithms and some illustrative examples are presented. The numerical results confirm that the new algorithms are accurate, efficient and readily implemented.