Author/Authors :
MELLIANI, SAID Sultan Moulay Slimane University - Laboratoire de Mathematiques Appliquees Calcul Scientifique, Morocco , MOUJAHID, AZIZ Sultan Moulay Slimane University - Laboratoire de Mathematiques Appliquees Calcul Scientifique, Morocco , CHADLI, LALLA SAADIA Sultan Moulay Slimane University - Laboratoire de Mathematiques Appliquees Calcul Scientifique, Morocco , ELOMARI, M’HAMED Sultan Moulay Slimane University - Laboratoire de Mathematiques Appliquees Calcul Scientifique, Morocco
Abstract :
In this paper, we present the new extension of Colombeau algebra of generalized functions construct by Mirjana Stojanovic. After we proved the existence and uniqueness of Cauchy problems with fractional derivatives in the Colombeau algebra.