FIT swMATH ID: 12183 Software Authors: Marinov, Toma; Ramirez, Nelson; Santamaria, Fidel Description: Fractional Integration Toolbox. 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. Homepage: https://link.springer.com/article/10.2478/s13540-013-0042-7 Keywords: fractional calculus; Riemann-Liouville fractional integral; Riemann-Liouville fractional derivative; numerical quadrature; fractional reaction-diffusion equation Related Software: Ninteger; FOMCON; CRONE; DFOC; FSST; FOPID; ML; ora_foc; fderiv; Matlab; sysdfod; ma2dfc; fourier; ml_fun; forlocus; INVLAP; fgl_deriv; gen_distrib; mlrnd; irid_fod Cited in: 5 Documents all top 5 Cited by 18 Authors 1 Affili, Elisa 1 Antoniadis, Anestis 1 Brossat, Xavier 1 Chen, Yangquan 1 Dehghan, Sina 1 Dipierro, Serena 1 Galimyanov, Anis Fuatovich 1 Gorskaya, Tat’yana Yur’evna 1 Goude, Yannig 1 Li, Zhuo 1 Liu, Lu 1 Marinov, Toma 1 Poggi, Jean-Michel 1 Ramirez, Nelson 1 Santamaria, Fidel 1 Thouvenot, Vincent 1 Valdinoci, Enrico 1 Xue, Dingyu Cited in 3 Serials 1 International Journal of Control 1 Fractional Calculus & Applied Analysis 1 Chebyshevskiĭ Sbornik all top 5 Cited in 8 Fields 1 Real functions (26-XX) 1 Partial differential equations (35-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Operator theory (47-XX) 1 Statistics (62-XX) 1 Numerical analysis (65-XX) 1 Systems theory; control (93-XX) Citations by Year