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Author Country (or Countries)

Brazil

Abstract

We generalize a fractional derivative type, the so-called (k,r)-fractional derivative and establish some properties of the resulting generalized operator. As an application we show that with this new definition, the Cauchy problem is equivalent to a Volterra integral equation of the second kind. We discuss, for this problem, some particular cases.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/pfda/040207

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