Some existence results for a nonlinear fractional differential equation on partially ordered Banach spaces
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
Boundary Value Problems 2013, 2013:112 doi:10.1186/1687-2770-2013-112Published: 3 May 2013
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.