BEKKAI, MohamedSupervisor: ARIOUA, Yacine2022-07-142022-07-142022-06-10https://repository.univ-msila.dz/handle/123456789/30376The principal objective of this work is the study the existence and uniqueness of solution for a fractional differential equation boundary value problem on an infinite interval by two fixed point theorems, Banach theorem and Leray-Schauder Alternative.enFractional differential equation,Boundary problem, Existence of solution,Leray-Schauder fixed point theorem,Banach fixed point theorems, Katugampola fractional derivative.Thesis