LARICHI NafisaDr.BEKRI Zouaoui2026-09-072026-09-072026https://dspace.univ-temouchent.edu.dz/handle/123456789/7472This work studies two nonlinear fractional boundary value problems involving the Caputo-Katugampola and Riemann-Liouville derivatives; using theorems (Banach Contraction, leray-schauder nonlinear alternative), it establishes existence, uniqueness and nontrivial existence results for the solution.enThesis