An existence result for n^{th}-order nonlinear fractional differential equations

Document Type : Research Paper


1 Faculty of Sciences and Technology, Tahri Mohammed University, Bechar, Algeria

2 Faculty of Sciences and Technology, Djilali Bounaama University, Khemis-Miliana, Algeria

3 Laboratory of Mathematics, Djillali Liab`{e}s University, Sidi Bel Abb`es, Algeria


In this paper, we investigate the existence of solutions of some three-point boundary value problems for n-th order nonlinear fractional differential equations with higher boundary conditions by using a fixed point theorem on cones.