Fractional Hunkel transform of generalized function

Abstract

In this paper, we introduce the fractional Hankel transform in the space of test functions denoted by Hµ, and we prove some of its properties. In addition, we define this transform for some slowly growing distributions, i.e., in the space H′µ, which is the dual of the space of test functions. As application, some examples are given to illustrate the theoretical results.