Browsing by Author "Boukhail, Nouara"

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    Global existence and blow-up of solution for some fractional reaction- diffusion problems
    (University of Oum El Bouaghi, 2024) Boukhail, Nouara; Rouar, Salim
    This 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.