Fractional Integration Toolbox

DOI10.2478/s13540-013-0042-7zbMath1312.65015OpenAlexW1980520001WikidataQ33566920 ScholiaQ33566920MaRDI QIDQ2347336

F. Santamaria, Nelson Ramirez, Toma Marinov

Publication date: 27 May 2015

Published in: Fractional Calculus \& Applied Analysis (Search for Journal in Brave)

Full work available at URL: http://europepmc.org/articles/pmc4010250

zbMATH Keywords

numerical quadraturefractional calculusRiemann-Liouville fractional integralRiemann-Liouville fractional derivativefractional reaction-diffusion equation

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Numerical interpolation (65D05) Software, source code, etc. for problems pertaining to real functions (26-04) Numerical differentiation (65D25)

Related Items (2)

A review and evaluation of numerical tools for fractional calculus and fractional order controls ⋮ Decay Estimates in Time for Classical and Anomalous Diffusion

Uses Software

• CRONE
• Robotics
• pchip
• FIT
• FOMCON
• Ninteger

Cites Work

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• Consideration of obstacle danger level in path planning using A\(^*\) and fast-marching optimisation: Comparative study
• The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
• Application of fractional calculus to ultrasonic wave propagation in human cancellous bone
• The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
• Fractional integral and its physical interpretation
• Algorithms for the fractional calculus: a selection of numerical methods
• Monotone Piecewise Cubic Interpolation
• The numerical solution of fractional differential equations: speed versus accuracy
• A practical guide to splines.
• Physical and geometrical interpretation of fractional operators

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