Unique Solutions for Fractional q-Difference Boundary Value Problems Via a Fixed Point Method

被引：9

作者：

Ren, Jing ^{[1
]}

Zhai, Chengbo ^{[1
]}

机构：

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

来源：

BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY | 2019年 / 42卷 / 04期

关键词：

Fractional q-difference equation; Existence and uniqueness; Nontrivial solution; phi; -; (h; e)-Concave operator; POSITIVE SOLUTIONS; EXISTENCE; EQUATIONS;

D O I：

10.1007/s40840-017-0560-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, by applying the cone theory in ordered Banach spaces associated with the characters of increasing phi-(h,e)-concave operators, we investigate the existence and uniqueness of nontrivial solutions for a nonlinear fractional q-difference equation boundary value problem. The main results show that we can construct an iterative scheme approximating the unique nontrivial solution. Relying on an example, we show the efficiency and applicability of the main result.

引用

页码：1507 / 1521

页数：15

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