Message Boards Message Boards

Is there a package in Mathematica about solving fractional order diff.eqns?

Hamza El Mahjour
Posted 4 years ago

We are working now on an epidemic model using fractional order derivatives (especially the Caputo definition). We actually now use another computing software to solve the system numerically. But I am wondering if Mathematica has a toolbox dedicated to solving fractional-order differential systems.

Can someone give me some insights?

Thank you
POSTED BY: Hamza El Mahjour
2 Replies
Sort By:

Thanks for your advice
POSTED BY: Hamza El Mahjour

In a current version of Mathematica 12.1 there is no special solver for integrodifferencial equations. Here we show solver with using Haar wavelets for dynamic system presented in a paper M.A. Khan, A. Atangana, Modeling the dynamics of novel coronavirus (2019-nCov) with fractional derivative, Alexandria Eng. J. (2020), https://doi.org/10.1016/j.aej.2020.02.033
with differential operator replaced with the Caputo definition for fractional derivative.
POSTED BY: Alexander Trounev
Reply to this discussion
Community posts can be styled and formatted using the Markdown syntax.
Tag limit exceeded
Note: Only the first five people you tag will receive an email notification; the other tagged names will appear as links to their profiles.
Reply Preview
Attachments
Remove
or Discard

Group Abstract Group Abstract