Initial value problem for nonlinear implicit fractional differential equations with Katugampola derivative

Basti, Bilal2019-05-282019-05-282019http://dspace.univ-msila.dz:8080//xmlui/handle/123456789/14058This work studies the existence and uniqueness of solutions for a class of nonlinear implicit fractional differential equations via the Katugampola fractional derivatives with an initial condition. The arguments for the study are based upon the Banach contraction principle, Schauders fi xed point theorem and the nonlinear alternative of Leray-Schauder type.enInitial value problem for nonlinear implicit fractional differential equations with Katugampola derivativeArticle