Some Fixed Point Theorems for F(ψ, φ)-Contractions and Their Application to Fractional Differential Equations

被引：0
作者：
Srivastava, H. M. [1 ,2 ,3 ]
Shehata, A. [3 ,4 ,5 ]
Moustafa, S. I. [6 ]
机构：
[1] Univ Victoria, Dept Math & Stat, Victoria, BC V8W 3R4, Canada
[2] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung 40402, Taiwan
[3] Azerbaijan Univ, Dept Math & Informat, 71 Jeyhun Hajibeyli St, AZ-1007 Baku, Azerbaijan
[4] Assiut Univ, Dept Math, Fac Sci, Assiut 71516, Egypt
[5] Qassim Univ, Dept Math, Coll Sci & Arts Unaizah, Qasim, Saudi Arabia
[6] Assiut Univ, Dept Math, Fac Sci, Assiut 71516, Egypt
来源：
RUSSIAN JOURNAL OF MATHEMATICAL PHYSICS | 2020年 / 27卷 / 03期
关键词：
BOUNDARY-VALUE-PROBLEMS; PARTIALLY ORDERED SETS; COUPLED SYSTEM; POSITIVE SOLUTIONS; EXISTENCE; UNIQUENESS;
D O I：
10.1134/S1061920820030103
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The main object of this paper is to establish some fixed point results for F(psi, phi)contractions in partially-ordered metric spaces. As an application of one of these fixed point theorems, we discuss the existence of a unique solution for a coupled system of higher-order fractional differential equations with multi-point boundary conditions. The results presented in this paper are shown to extend many recent results appearing in the literature.
引用
收藏
页码：385 / 398
页数：14
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