Entropy Corrected f(G)Gravity Using Sharma Mitall Holographic Dark Energy Model

By using a power law modified gravity model f(G) together with Sharma Mitall Holographic Dark Energy model (SMHDE) a more understanding of universe behavior is obtained. In our model we reconstruct the Hubble parameter, consequently we verified the cosmic accelerating expansion using the deceleration, equation of state parameters and the diagnostic state finder parameter. The stability of the model is achieved using the square speed of sound parameter. For completeness we study the energy conditions and the results obtained support the idea of universe accelerating expansion behavior. By considering a quantum correction for both power law and logarithmic corrected entropy, the validity of the generalized second law of thermodynamics is studied.