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In the framework of Fractional Action Cosmology (FAC), we study thegeneralized second law of thermodynamics for the Friedmann Universe enclosed bya boundary. We use the four well-known cosmic horizons as boundaries namely,apparent horizon, future event horizon, Hubble horizon and particle horizon. Weconstruct the generalized second law (GSL) using and without using the firstlaw of thermodynamics. To check the validity of GSL, we express the law in theform of four different scale factors namely emergent, logamediate, intermediateand power law. For Hubble, apparent and particle horizons, the GSL holds foremergent and logamediate expansions of the universe when we apply with andwithout using first law. For intermediate scenario, the GSL is valid forHubble, apparent, particle horizons when we apply with and without first law.Also for intermediate scenario, the GSL is valid for event horizon when weapply first law but it breaks down without using first law. But for power lawexpansion, the GSL may be valid for some cases and breaks down otherwise.

Fractional Action Cosmology: Emergent, Logamediate, Intermediate, Power law Scenarios of the Universe and Generalized Second Law of Thermodynamics