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In this work, we study time fractional third Order Variant Boussinesq System and time fractional Jaulent-Miodek system with Riemann-Liouville (RL) derivative. We transform the governing equations to nonlinear ordinary differential equations (ODEs) of fractional order using the obtained Lie point symmetries with a new dependent variable. The derivative in the reduced equation is in Erdelyi-Kober (EK) sense. We apply power series method to derive an explicit solutions for the reduced fractional ODEs. The convergence analysis for the obtained explicit solutions is investigated. Moreover, the conservation laws for the equations are constructed using new conservation theorem and the generalization of the Noether.