Literature DB >> 24812536

FRACTIONAL INTEGRATION TOOLBOX.

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


  4 in total

1.  Fractional kinetics in multi-compartmental systems.

Authors:  Aristides Dokoumetzidis; Richard Magin; Panos Macheras
Journal:  J Pharmacokinet Pharmacodyn       Date:  2010-10-01       Impact factor: 2.745

2.  Anomalous diffusion in Purkinje cell dendrites caused by spines.

Authors:  Fidel Santamaria; Stefan Wils; Erik De Schutter; George J Augustine
Journal:  Neuron       Date:  2006-11-22       Impact factor: 17.173

3.  The fractional-order dynamics of brainstem vestibulo-oculomotor neurons.

Authors:  T J Anastasio
Journal:  Biol Cybern       Date:  1994       Impact factor: 2.086

4.  The diffusional properties of dendrites depend on the density of dendritic spines.

Authors:  Fidel Santamaria; Stefan Wils; Erik De Schutter; George J Augustine
Journal:  Eur J Neurosci       Date:  2011-07-19       Impact factor: 3.386

  4 in total
  2 in total

1.  Neuronal spike timing adaptation described with a fractional leaky integrate-and-fire model.

Authors:  Wondimu Teka; Toma M Marinov; Fidel Santamaria
Journal:  PLoS Comput Biol       Date:  2014-03-27       Impact factor: 4.475

2.  Power-Law Dynamics of Membrane Conductances Increase Spiking Diversity in a Hodgkin-Huxley Model.

Authors:  Wondimu Teka; David Stockton; Fidel Santamaria
Journal:  PLoS Comput Biol       Date:  2016-03-03       Impact factor: 4.475

  2 in total

北京卡尤迪生物科技股份有限公司 © 2022-2023.