The continuous fractional Bessel wavelet transformation

Abstract

The main objective of this paper is to study the fractional Hankel transformation and the continuous fractional Bessel wavelet transformation and some of their basic properties. Applications of the fractional Hankel transformation (FrHT) in solving generalized nth order linear nonhomogeneous ordinary differential equations are given. The continuous fractional Bessel wavelet transformation, its inversion formula and Parseval's relation for the continuous fractional Bessel wavelet transformation are also studied. © 2013 Prasad et al.; licensee Springer.