Question
Asked 7th Sep, 2023
Which fractional derivative is best for both continuous and discrete space?
I would like to know which derivative is best for the continuous and discrete space? How to modify a classical derivative for suitable ones? can we define a fractional derivative for continuous space and discretize it for the discrete space?
Similar questions and discussions
How to extract the embedded GPS data from a video created from a GoPro camera?
- Anwar Musah
What is the best 'free of charge' software for extracting GPS data from a video created from a GoPro camera?
I have checked the Telemetry Extractor (https://goprotelemetryextractor.com/gopro-gps-telemetry-extract) for the GoPro with the hopes to use its free Lite version; however, that is not working for me. It's pushing me to use the premium version but the pricing is offensive.
Any help will be appreciated.
Related Publications
Fractional (or non-integer) differentiation is an important concept both from theoretical and applicational points of view. The study of problems of the calculus of variations with fractional derivatives is a rather recent subject, the main result being the fractional necessary optimality condition of Euler–Lagrange obtained in 2002. Here we use th...
The motivation for this paper comes from other papers treating the fractional derivatives. We introduce a new definition of fractional derivative which obeys classical properties including linearity, product rule, quotient rule, power rule, chain rule, Rolle's theorem, mean value theorem and Taylor series. Usage of the defined derivative is given i...
We introduce a new fractional derivative that generalizes the so-called alternative fractional derivative recently proposed by Katugampola. We denote this new differential operator by $\mathscr{D}_{M}^{\alpha,\beta }$, where the parameter $\alpha$, associated with the order, is such that $0<\alpha<1$, $\beta>0$ and $M$ is used to denote that the fu...