Boukhail, NouaraRouar, Salim2024-10-162024-10-162024http://dspace.univ-oeb.dz:4000/handle/123456789/19989This memory is concerned with studying the problem of existence and non-existence for the global solutions of a diffusion-reaction type equation with fractional derivatives according to Caputo's approach. The proofs rely on the fixed point principle to prove the existence of a local solution, then on Kaplan's method to determine sufficient conditions to prove the globel existence, as well as sufficient conditions to prove the non-existence (blow-up ) of solutions.enCaputo fractional derivative; Reaction-diffusion equation; Global solutionOther