Publication: Note on the generalized conformable derivative
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Publication date
2021-12
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Unión Matemática Argentina
Abstract
We introduce a definition of a generalized conformable derivative
of order alfa > 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 alfa > 1
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Keywords
Fractional Derivatives, Fractional Calculus, Applications