Quelques inégalités intégrales appliquées à certaines classes des équations aux dérivées partielles.

Abstract

The aim of the present work is to give an exposition of the classical results about integral inequalities appeared in the mathematical researchs in recent years, and to establish some new integral inequalities, integrals inequalities for functions of several independent variables with a term of delay and also some new fractional integral inequalities. Moreover we give some applications to certain classes of partial and fractional differential equations to illustrate the truth of our results.