Fractional Bessel Derivative Within the Mellin Transform Framework
Fractional Bessel Derivative Within the Mellin Transform Framework
Abstract In this paper, we present a fresh perspective on the fractional power of the Bessel operator using the Mellin transform. Drawing inspiration from the work of Pagnini and Runfola, we develop a new approach by employing Tato’s type lemma for the Hankel transform. As an application, we establish a …