Baziz, AsmaMessaad, AbirRouar, Salim2022-11-142022-11-142022http://hdl.handle.net/123456789/14254This memory is devoted to the study the problem of solutions of the non-existence global for two types of non-linear differential equations with fractional derivatives in the sense of Caputo of a time and space. The first is the reaction-diffusion equation and the second is the system that has been originated by a hyperbolic using weak formulas and the technique of test functions technique.enDiffusion equationHyperbolic systemFractional derivativeNon-existence global for some spatio-temporal systemsOther