TEBANI, Mohammed2019-07-282019-07-282019http://dspace.univ-msila.dz:8080//xmlui/handle/123456789/15983T he aim of memory is to study the existence and uniqueness of solution to boundary value problem of nonlinear fractional differential equation with Caputo-Katugampola derivative in bounded domain. The derived results are based on fixed point theorems (Banach’s, Schauder’s, Schaufer’s). Next, we establish the existence of solution to a certain coupled system of Caputo-Katugampola fractional differential equation. We conclude the results obtained by illustrative examples.enCaputo type, fractional differential equation, boundary value problem, existence and uniqueness.Thesis