An important issue for researchers looking into the effectiveness of power distribution systems is the Optimal Reactive-Power Dispatch (ORPD) problem, which aims to reduce real power line losses. Numerous techniques have been created with the express purpose of improving upon the optimization method's performance in tuning operational variables and exploring it through the estimation of results. Using entropy evolution (EE) and fractional calculus (FC) concepts, the research presents a novel method that is implemented in the hybrid meta-heuristic computational paradigm of Moth Flame Optimization (MFO) and Particle Swarm Optimization (PSO) algorithms for the ORPD problem. These techniques were incorporated into the MFO-PSO algorithm to enhance its memory effect, robustness, and stability. This was done to address the MFO-PSO vulnerability. ORPD problem using the IEEE-57 bus and IEEE-118 bus standards are used to test the novel Entropy design MFO and Fractional-order PSO algorithms as (EMFO-FPSO). The superiority of the proposed EMFO-FPSO algorithm has been demonstrated through a comparative analysis study with well-known optimizer solvers from the literature.