  It has long been debated whether the hydrodynamics is suitable for the
smaller colliding systems such as p+p collisions. In this paper, by assuming
the existence of longitudinal collective motion and long-range interactions in
the hot and dense matter created in p+p collisions, the relativistic
hydrodynamics incorporating with the nonextensive statistics is used to analyze
the transverse momentum distributions of the particles. The investigations of
present paper show that the hybrid model can give a good description of the
currently available experimental data obtained in p+p collisions at RHIC and
LHC energies, except for p and p^bar produced in the range of p_T> 3.0 GeV/c at
sqrt(s)=200 GeV.
