How to choose between Caputo and Riemann-Liouville fractional derivatives?

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Richard Epenoy

Hi, hereafter a paper that may help you. Best

Khalid Akhlil

Dear @Richard Epenoy. Thank you so much for the suggestion.

Maged G. Bin-Saad

Unfortunately, different from classical or integer-order derivative, there are several kinds of definitions for fractional derivatives. These definitions are generally not equivalent with each other.

The following papers are "on Riemann and Caputo fractional differences"

Article On Riemann and Caputo fractional differences

https://www.hindawi.com/journals/ddns/2011/562494/