  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.
