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Note on the generalized conformable derivative
Volume 62, no. 2
(2021),
pp. 443–457
https://doi.org/10.33044/revuma.1930
Abstract
We introduce a definition of a generalized conformable derivative of order
$\alpha \gt 0$ (where this parameter does not need to be integer), with which we
overcome some deficiencies of known local derivatives, conformable or not.
This definition allows us to compute fractional derivatives of functions
defined on any open set on the real line (and not just on the positive
half-line). Moreover, we extend some classical results to the context of
fractional derivatives. Also, we obtain results for the case $\alpha \gt 1$.
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Published by the Unión Matemática Argentina |
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