Existence and uniqueness of positive solutions to fractional boundary value problems with nonlinear boundary conditions

Advances in Difference Equations

Dumitru Baleanu¹  Ravi P Agarwal²  Nemat Nyamoradi³ 

[1] Department of Chemical and Materials Engineering, Faculty of Engineering, King Abdulaziz University, Jeddah, Saudi Arabia;Department of Mathematics and Computer Sciences, Faculty of Art and Sciences, Cankaya University, Ankara, Turkey;Department of Mathematics, Faculty of Sciences, Razi University, Kermanshah, Iran

关键词: cone;    contraction mapping principle;    fixed point theorem;    Riemann-Liouville fractional derivative;   

DOI  :  10.1186/1687-1847-2013-266

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this manuscript, we consider two problems of boundary value problems for a fractional differential equation. A fixed point theorem in partially ordered sets and a contraction mapping principle are applied to prove the existence of at least one positive solution for both fractional boundary value problems. MSC:47H10, 26A33, 34A08.

【 授权许可】

CC BY