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Fractional integration toolbox

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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.

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Authors and Affiliations

  1. Department of Biology, University of Texas at San Antonio, San Antonio, TX, 78249, USA

    Toma M. Marinov & Fidel Santamaria

  2. CBI, University of Texas at San Antonio, San Antonio, TX, 78249, USA

    Nelson Ramirez

Authors
  1. Toma M. Marinov
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  2. Nelson Ramirez
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  3. Fidel Santamaria
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Correspondence to Fidel Santamaria.

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Marinov, T.M., Ramirez, N. & Santamaria, F. Fractional integration toolbox. fcaa 16, 670–681 (2013). https://doi.org/10.2478/s13540-013-0042-7

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  • DOI: https://doi.org/10.2478/s13540-013-0042-7

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