fractional calculus

The idea of calculus in fractional order is nearly as old as its integer counterpart. In a letter dated September 30th 1650, l’Hôpital posed the question of the meaning of dαfdxα if α=12 to Leibniz. There are different approaches to define calculus of fractional order. The following approaches are the most common and we can prove that they are equivalentMathworldPlanetmathPlanetmathPlanetmathPlanetmath

(1) Riemann-Liouville approach of fractional integration

(2) Grunwald-Letnikov approach of fractional differentiation

Title fractional calculusMathworldPlanetmath
Canonical name FractionalCalculus
Date of creation 2013-03-22 16:18:27
Last modified on 2013-03-22 16:18:27
Owner bchui (10427)
Last modified by bchui (10427)
Numerical id 14
Author bchui (10427)
Entry type Definition
Classification msc 28B20
Synonym fractional calculus
Defines fractional calculus