This study delves into innovative categories of harmonic functions that are established using a fractional operator. Initially, we establish fresh sets of harmonic functions by utilizing the Prabhakar fractional operator. Following that, we deduce the primary findings of our research, which encompass comprehensive and fundamental limits on coefficients for functions linked to the newly introduced categories. Furthermore, we offer various specific attributes related to the characterization of these categories. These properties encompass extreme points, convex mixtures. To sum up, we furnish a range of conclusions derived from the primary findings.