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Fractional Calculus and Applied Analysis

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Volume 16, Issue 3


Fractional integration toolbox

Toma Marinov / Nelson Ramirez / Fidel Santamaria
Published Online: 2013-06-26 | DOI: https://doi.org/10.2478/s13540-013-0042-7


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.

MSC: Primary 26A33; Secondary 33F05, 60G22, 65D05, 65D25

Keywords: fractional calculus; Riemann-Liouville fractional integral; Riemann-Liouville fractional derivative; numerical quadrature; fractional reaction-diffusion equation

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About the article

Published Online: 2013-06-26

Published in Print: 2013-09-01

Citation Information: Fractional Calculus and Applied Analysis, Volume 16, Issue 3, Pages 670–681, ISSN (Online) 1314-2224, ISSN (Print) 1311-0454, DOI: https://doi.org/10.2478/s13540-013-0042-7.

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© 2013 Diogenes Co., Sofia. This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License. BY-NC-ND 3.0

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