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The continuous fractional Bessel wavelet transformation

DOI: 10.1186/1687-2770-2013-40

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Abstract:

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.

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