%0 Journal Article %T The continuous fractional Bessel wavelet transformation %A Akhilesh Prasad %A Ashutosh Mahato %A V. K. Singh and M. M. Dixit %J Boundary Value Problems %D 2013 %I %R 10.1186/1687-2770-2013-40 %X The main objective of this paper is to study the fractional Hankel transformation $(FrHT)$ and its some basic properties. Applications of the $FrHT$ in solving generalized $n^{th}$ order linear nonhomogeneous ordinary differential equations are given. The continuous fractional Bessel wavelet transformation, its inversion formula, and the Parseval's relation for continuous fractional Bessel wavelet transformation are also studied. %U http://www.boundaryvalueproblems.com/content/2013/1/40/abstract