Turkish Journal of Mathematics
Article Title
On the Generalization of $ \kappa $-Fractional Hilfer-Katugampola Derivative with Cauchy Problem
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
Recommended Citation
NAZ, SAMAIRA and NAEEM, MUHAMMAD NAWAZ
(2021)
"On the Generalization of $ \kappa $-Fractional Hilfer-Katugampola Derivative with Cauchy Problem,"
Turkish Journal of Mathematics: Vol. 45:
No.
1, Article 7.
https://doi.org/10.3906/mat-2007-67
Available at:
https://journals.tubitak.gov.tr/math/vol45/iss1/7
