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Turkish Journal of Mathematics

DOI

10.3906/mat-2007-67

Abstract

We generalize the $\kappa$-fractional Hilfer--Katugampola derivative and set some properties of the generalized operator resulting from this. As an application, we demonstrate that the Cauchy problem with this new definition is equivalent to a second kind of Volterra integral equation. We discuss some specific cases for this problem.

First Page

110

Last Page

124

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Mathematics Commons

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