Document Type : Research Paper

Authors

• Mohamed Houas
• Maamar Benbachir

Faculty of Sciences and Technology, Khemis-Milian University, Ain Defla, Algeria

Abstract

This paper studies a fractional boundary value problem of nonlinear differential equations of arbitrary orders. New existence and uniqueness results are established using Banach contraction principle. Other existence results are obtained using Schaefer and Krasnoselskii fixed point theorems. In order to clarify our results, some illustrative examples are also presented.

Keywords

• Caputo derivative
• boundary value problem
• Fixed point theorem
• local conditions