Over shortcut to attain this purpose; i.e?.

Over the last years there has been considerable interest in higher dimensional cosmological models?. ?Because of high consistency with observational results?, ?evolution of the universe in most models is described by supersymmetric hybrid inflation cite{16},cite{28}?. ?Hybrid inflation was introduced to solve some problems in inflationary models cite{15}?, ?cite{18} for exmple; F-term hybrid inflation model overcome blue spectrum problem cite{11},cite{29}?. ?Thus?, ?it is very considerable to look for a generalized supersymmetric braneworld inflation consistent with recent observationscite{9}?. ?However inflationary scenarios overcome some cosmological problems?, ?but exiting of inflation and entering matter dominated era after a suitable reheating process is still challenging?. ?At the other hand some elementary particles can make shortcut to attain this purpose; i.e?. ?sterile neutrinos cite{32}?. ?Searching for sterile neutrinos is still in process by searching cosmological signatures cite{30} and providing high-energy collides in CERN cite{31} and other experiments cite{34}?, ?cite{35}?.
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?In Randall-Sundrum braneworld scenariocite{17}?, ?we suppose that our 4D Universe is living on a 3-brane?, ?embedded in a 5D bulk with an extra space dimension?. ?We add some supersymmetric hybrid inflation to this context and hope to obtain some interesting cosmological implications?.
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?In the present paper,we are interested on F-term effect on some inflationary aspects like observable quantities and reheating temperature?. ?We briefly reviewed the setup of F-term potential and loop corrections on it cite{20},cite{19} and cite{1}?. ?In this model we note that the F-term will dominate?. ?This case was considered for the first time in cite{13}?.
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?In the following sections,after a brief review of F-term inflation; we will recall some foundation of field equations on the brane and also basis of inflation dynamics?. ?Then we consider the extention of this model on RS II brane and calculate some perturbative parameters in this setup and the results are in good agreement with recent $ extit{WMAP 9-year} $ and $ Planck $ observations cite{21}?, ?cite{9}?.
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?In last section we briefly study reheating after inflation and some interesting results are obtained?.