TAHRAOUI, SafaâMami, Tawfiq Fawzi2024-12-152024-12-152020http://dspace.univ-temouchent.edu.dz/handle/123456789/5941The main objective of this paper is to study the existence of solutions for a nonlinear problem of an implicit fractional differential equation. The derivatives considered are in the sense of Caputo and of order between 0 and 1 in a Banach space with boundary conditions and in the second case with non-local ones. These results were obtained by applying the fixed point theory. Examples are included to illustrate the applicability of theoretical results.frThesis