Document Type : Research Paper

Author

• Lilia Zenkoufi

Department of Mathematics, University 8 May 1945 Guelma, Algeria

Abstract

In this paper we will study the existence, uniqueness and positivity of solution of a boundary value problem for nonlinear fractional differential equation, by using Leray-Schauder nonlinear alternative, Banach contraction and Guo-Krasnosel'skii fixed point theorems.

Keywords

• Fractional differential equations
• Fixed point theorem
• Guo-Krasnosel'skii theorem
• Leray-Schauder nonlinear alternative
• Banach contraction theorem
• Existence
• uniqueness
• Positive solution