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

Posted 6 months ago
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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

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.

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