Computational algorithms for computing the fractional derivatives of functions

Zaid M. Odibat

Mathematics and Computers in Simulation (MATCOM), 2009, vol. 79, issue 7, 2013-2020

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.

Keywords: Modified trapezoidal rule; Caputo fractional derivative rule; Caputo fractional derivative (search for similar items in EconPapers)
Date: 2009
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Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:79:y:2009:i:7:p:2013-2020

DOI: 10.1016/j.matcom.2008.08.003

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