Title of article :
New existence results for a coupled system of nonlinear differential equations of arbitrary order
Author/Authors :
Abdellaoui, M.A , Dahmani, Z Faculty of SEI - UMAB - University of Mostaganem, Algeria , Bedjaoui, N Universite de Picardie Jules Vernes - INSSET St Quentin, FRANCE
Abstract :
This paper studies the existence of solutions for a coupled system of nonlinear fractional differential
equations. New existence and uniqueness results are established using Banach xed point theorem.
Other existence results are obtained using Schaefer and Krasnoselskii xed point theorems. Some
illustrative examples are also presented.
Keywords :
Caputo derivative , Coupled system , Fractional differential equation , Fixed point
Journal title :
Astroparticle Physics
