Journal
FRACTIONAL CALCULUS AND APPLIED ANALYSIS
Volume 16, Issue 3, Pages 670-681Publisher
WALTER DE GRUYTER GMBH
DOI: 10.2478/s13540-013-0042-7
Keywords
fractional calculus; Riemann-Liouville fractional integral; Riemann-Liouville fractional derivative; numerical quadrature; fractional reaction-diffusion equation
Funding
- National Institute on Minority Health and Health Disparities [G12MD007591]
- National Science Foundation [EF-1137897, HDR-0932339]
- Emerging Frontiers
- Direct For Biological Sciences [1137897] Funding Source: National Science Foundation
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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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