This research study, we explore a family of CV map both univalent and sensepreserve within Z, and which are expressed in ℏ( ̃) = l( ̃)+(κ( ̃)) whereas l( ̃) with κ( ̃) are analytic throughout Z.A central aspect newly introduced class defined through a generalized fractional differential operator. By setting in this operator, we define the function class as SHPα (ρ̃1,...,℘) belongs to family of 𝓗𝓤𝓕. Alongwith we derive sufficient conditions on the coefficients for functions in this class, and further these conditions become necessary when the coefficients are negative. Additionally, we examine key function-theoretic features of this class, including estimates for distortion and the characterization of its extreme points.