This research applies Fractional Kinetic Gas Molecular Optimization Symbiotic Organism Search (FKGMOSOS) algorithm to optimize Total Voltage Deviation (TVD) while improving the security of an electricity transmission system. Hybrid KGMOSOS has excellent rate of convergence to optimum, but in order to avoid the possibility of getting stuck in local optimum, Fractional Differential Order (FDO) was integrated into the velocity term in the algebraic model of KGMOSOS leading to FKGMOSOS evolution. Using this algorithm, optimal TVD was accomplished by varying the levels of the grid control state variables to attain the finest set of optimal results in IEEE 30 – Bus, 13 – Variable standard network. The optimization competence of this new technique was verified for multiple runs through comparative investigation with that of Fractional Particle Swarm Optimization Gravitational Search Algorithm (FPSOGSA) for each FDO scenario. The results of simulation showed that for 250 successive iterations, FKGMOSOS outperformed FPSOGSA which also outperformed other literary techniques.