φ - (h, e)-concave operators and applications

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:454

Article

Zhai, Chengbo¹  Wang, Li¹ 

[1] Shanxi Univ, Sch Math Sci, Taiyuan 030006, Shanxi, Peoples R China

关键词: phi - (h,e)-concave operator;    Existence and uniqueness;    Fixed point;    Fractional differential equation;    Integral boundary condition;   

DOI  :  10.1016/j.jmaa.2017.05.010

来源: Elsevier

【 摘 要 】

In this article, by introducing a new set and a new concept of phi - (h, e)-concave operators, and by using the cone theory and monotone iterative method, we present some new existence and uniqueness theorems of fixed points for increasing phi - (h, e)-concave operators without requiring the existence of upper and lower solutions. As an application, we establish the existence and uniqueness of a nontrivial solution for a new form of fractional differential equation with integral boundary conditions. The main results of this paper improve and extend some known results, and present a new method to study nonlinear equation problems. (C) 2017 Elsevier Inc. All rights reserved.

【 授权许可】

Free