In this paper we have reviewed and presented the results of the fractional order differential field equation for a Bianchi type-II (LRS) space-time with a perfect fluid assuming a variable cosmological constant Λ (adopted from R. K. Tiwari et. al.[7]). In order to substitute Einstein’s field equations for a certain configuration with equivalent fractional field equations, we used the Last Step Modification (LSM) method. Further applied Riemann-Liouville fractional order derivative assuming lower terminal at 0 to obtain all physical properties of the developed model along with their graphical representation.