Djeffal, InesOussaeif, Taki Eddine2022-11-142022-11-142022http://hdl.handle.net/123456789/14253In this work we have studied various nonlinear fractional parabolic problems with different boundary conditions. We started with reminders of certain fundamental preliminary notions and the tools necessary in this work. The second chapter deals with a nonlinear fractional parabolic problem with Dirichlet conditions using the energy inequality method. Then, in the third chapter, we study a mixed nonlinear problem related to a fractional parabolic equation with a classical Neumann-type condition and an integral condition by the energy inequality method. Finally in the fourth chapter, we examined an emerging problem which is the study of the existence and uniqueness of a weak solution of a Dirichlet problem for a super-linear fractional parabolic equation using the Faedo-Galerkin method.enEnergy inequality methodFractional parabolic equationsNon linear parabolic equationsFaedo-Galerkin methodIntegral conditionsOther