The continuous fractional Bessel wavelet transformation

Boundary value problems

Ashutosh Mahato¹  Akhilesh Prasad¹  Vishal Kumar Singh¹  Madan Mohan Dixit² 

[1] Department of Applied Mathematics, Indian School of Mines, Dhanbad, India;Department of Mathematics, NERIST, Nirjuli, India

关键词: Hankel transformation;    fractional Hankel transformation;    fractional Bessel wavelet transformation;    Bessel function;   

DOI  :  10.1186/1687-2770-2013-40

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

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 n th 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. MSC:46F12, 26A33.

【 授权许可】

CC BY