Open Access Research

Some existence results for a nonlinear fractional differential equation on partially ordered Banach spaces

Dumitru Baleanu123*, Ravi P Agarwal4, Hakimeh Mohammadi5 and Shahram Rezapour5

Author affiliations

1 Department of Chemical and Materials Engineering, Faculty of Engineering, King Abdulaziz University, Jeddah, Saudi Arabia

2 Department of Mathematics, Cankaya University, Ogretmenler Cad. 14 06530, Balgat, Ankara, Turkey

3 Institute of Space Sciences, Magurele, Bucharest, Romania

4 Department of Mathematics, Texas A&M University, University Blvd., Kingsville, 78363-8202, USA

5 Department of Mathematics, Azarbaidjan Shahid Madani University, Azarshahr, Tabriz, Iran

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Citation and License

Boundary Value Problems 2013, 2013:112  doi:10.1186/1687-2770-2013-112

Published: 3 May 2013

Abstract

By using fixed point results on cones, we study the existence and uniqueness of positive solutions for some nonlinear fractional differential equations via given boundary value problems. Examples are presented in order to illustrate the obtained results.