  In this work, we are going to study the inflationary era of the Universe
evolution by using second type of Randall-Sundrum model (RS-II) braneworld
gravity. It is supposed that the Universe is dominated by scalar field with
noncanonical kinetic terms. The kinetic term is supposed as a power-law
function, and the work is performed for two typical cases. Using recent
observations, the free parameters of the model are determined. It is shown that
theoretical results are in acceptable agreement with observational data.
Finally the time period of inflation is derived approximately, and it is found
out that the inflation could occur after the five-dimensional Planck time.
