Dear researchers,
I hope you are well and in good health
Concerning fractional derivatives and analysis.
If the notion of classical derivative gives us more information on the variations (Df is positive implies f is increasing), what information is provided by the fractional derivative, for, example D^{1/2}?
That on the one hand, and if you want to do the numerical, what do you think is the approximation D^{1/2}?
All help is appreciated. Best regards
Dear Aberqi
There are several fractional derivative types, such as Reimann, Caputo, Caputo Fabrizio, Granwald and etc...
Of course, Caputo and Riemann fractional derivatives are used more than the others.
Please go to the following link
https://www.sciencedirect.com/science/article/abs/pii/S0168927419301217
Dear Professor Zoleikha Soori,
I thank you very much for your answer to my question while talking about the applications of fractional derivatives in Physics. What I don't really understand is that there is a problem of conformity between these different definitions, for example, the fractional derivative of a constant is null for one definition and not for others, which generates difficulty in applications, especially for numerists.
Kind regards
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