Recently, there are many fractional derivatives of local type introduced by many experts and researchers such as conformable, Katugampola, Caputo-Fabrizio, M-fractional derivative, deformable, non-conformable, and many others. I have seen lots of critiques by researchers against fractional derivatives of local type. The many issue with classical fractional derivatives is the lack of analytical solutions or even impossible to find for many classical fractional models. Therefore, researchers have to come up with numerical solutions or new numerical methods to overcome this issue with the classical fractional derivative. However, the question here is: How can we still at least benefit from those local fractional derivatives in applications? Is it worth to continue exploring new properties and theorems for those derivatives of local type? If yes. please recommend which one can be still useful for applications in natural sciences.
Dear Dr.
Mohammed K A Kaabar
Greating!
You can see the links
https://www.researchgate.net/publication/51947327_Applications_of_local_fractional_calculus_to_engineering_in_fractaltime-space_Local_fractional_differential_equations_with_local_fractionalderivative
https://www.researchgate.net/publication/236116668_Fractional_calculus_and_its_applications
https://arxiv.org/pdf/1307.0739
https://arxiv.org/pdf/1510.00408
https://www.sciencedirect.com/science/article/pii/S1018364715000300
https://link.springer.com/10.1186/s13662-019-2068-6
https://www.elsevier.com/books/local-fractional-integral-transforms-and-their-applications/yang/978-0-12-804002-7
With best wishes
Dear Dr.
Mohammed K A Kaabar
Greating!
You can see the links
https://www.researchgate.net/publication/51947327_Applications_of_local_fractional_calculus_to_engineering_in_fractaltime-space_Local_fractional_differential_equations_with_local_fractionalderivative
https://www.researchgate.net/publication/236116668_Fractional_calculus_and_its_applications
https://arxiv.org/pdf/1307.0739
https://arxiv.org/pdf/1510.00408
https://www.sciencedirect.com/science/article/pii/S1018364715000300
https://link.springer.com/10.1186/s13662-019-2068-6
https://www.elsevier.com/books/local-fractional-integral-transforms-and-their-applications/yang/978-0-12-804002-7
With best wishes
Thank you very much Dr. A. M. Abdullah for sharing those links with us!!
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