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

Boundary value problems

Dumitru Baleanu¹  Ravi P Agarwal²  Shahram Rezapour³  Hakimeh Mohammadi⁴ 

[1] Department of Chemical and Materials Engineering, Faculty of Engineering, King Abdulaziz University, Jeddah, Saudi Arabia;Department of Mathematics, Cankaya University, Balgat, Ankara, Turkey;Department of Mathematics, Texas A&Institute of Space Sciences, Magurele, Bucharest, Romania;M University, Kingsville, USA

关键词: Banach Space;    Fractional Order;    Fractional Derivative;    Fractional Calculus;    Normal Cone;   

DOI  :  10.1186/1687-2770-2013-112

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

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.

【 授权许可】

CC BY