On convolution for general novel fractional wavelet transform

Abstract

Using Pathak and Pathak techniques, the basic function $D^{\alpha }(u,v,w)$ associated with general novel fractional wavelet transform (GNFrWT)is defined and its properties are investigated. By using basic function $D^{\alpha }(u,v,w)$ translation and convolution associated with GNFrWT are defined and certain existence theorems are proved for basic function and associated convolution.

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