| Literature DB >> 24812536 |
Toma M Marinov1, Nelson Ramirez2, Fidel Santamaria1.
Abstract
The problems formulated in the fractional calculus framework often require numerical fractional integration/differentiation of large data sets. Several existing fractional control toolboxes are capable of performing fractional calculus operations, however, none of them can efficiently perform numerical integration on multiple large data sequences. We developed a Fractional Integration Toolbox (FIT), which efficiently performs fractional numerical integration/differentiation of the Riemann-Liouville type on large data sequences. The toolbox allows parallelization and is designed to be deployed on both CPU and GPU platforms.Entities:
Keywords: Riemann-Liouville fractional derivative; Riemann-Liouville fractional integral; fractional calculus; fractional reaction-diffusion equation; numerical quadrature
Year: 2013 PMID: 24812536 PMCID: PMC4010250 DOI: 10.2478/s13540-013-0042-7
Source DB: PubMed Journal: Fract Calc Appl Anal ISSN: 1314-2224 Impact factor: 3.126