An Ordinary Fractional Differential Equation

Requires a Wolfram Notebook System

Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.

Fractional calculus generalizes ordinary calculus by letting differentiation and integration be of arbitrary order.

[more]

The definition of the fractional derivative is

,

for and , and

,

where is any postive integer greater than .

This Demonstration solves numerically the following ordinary fractional differential equation:

(1) ,

where ,

,

(2) .

Here and are parameters, is a dependent variable, and is an independent variable.

The discretization of equations (1) and (2) are

, ,

with , where is the gamma function.

[less]

Contributed by: Jorge Gamaliel Frade Chávez (March 2011)
Open content licensed under CC BY-NC-SA


Snapshots


Details



Feedback (field required)
Email (field required) Name
Occupation Organization
Note: Your message & contact information may be shared with the author of any specific Demonstration for which you give feedback.
Send