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 equivalent
(1) Riemann-Liouville approach of fractional integration
(2) Grunwald-Letnikov approach of fractional differentiation
Title | fractional calculus![]() |
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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 |