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

页码：385 / 398

页数：14

共 50 条

[31] FIXED POINT THEOREMS FOR α-ψ-CONTRACTIVE MAPPINGS IN PARTIALLY ORDERED SETS AND APPLICATION TO ORDINARY DIFFERENTIAL EQUATIONS
Asgari, M. S.
Badehian, Z.
BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2015, 41 (06) : 1375 - 1386
[32] Common Fixed Point Theorems for Generalized Contractive Pair of Mappings in a Metric Space and Their Application to Fractional Calculus
Goel, Priya
Kumar, Manoj
Singh, Dimple
Kumar, Kamal
JOURNAL OF APPLIED MATHEMATICS, 2022, 2022
[33] Fixed point theorems for mixed monotone operators with perturbation and applications to fractional differential equation boundary value problems
Zhai, Chengbo
Hao, Mengru
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2012, 75 (04) : 2542 - 2551
[34] NEW FIXED POINT THEOREMS FOR SUM OPERATORS IN THE SET Ph,e AND THEIR APPLICATIONS TO NONLINEAR FRACTIONAL DIFFERENTIAL PROBLEMS
Zhang, Lingling
Tian, Huimin
TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, 2022, 59 (2B) : 719 - 735
[35] FIXED POINT RESULTS IN SET Ph,e WITH APPLICATIONS TO FRACTIONAL DIFFERENTIAL EQUATIONS
Zhang, Lingling
Wang, Hui
Wang, Xiaoqiang
TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, 2019, 54 (02) : 537 - 566
[36] Oscillation theorems for fractional neutral differential equations
Wang, Yi-Zhuo
Han, Zhen-Lai
Zhao, Ping
Sun, Shu-Rong
HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2015, 44 (06): : 1477 - 1488
[37] A novel implementation of fixed-point theorems for high-order Hadamard fractional differential equations with multi-point integral boundary conditions
Boutiara, Abdelatif
JOURNAL OF MATHEMATICAL MODELING, 2023, 11 (04): : 767 - 782
[38] On using coupled fixed-point theorems for mild solutions to coupled system of multipoint boundary value problems of nonlinear fractional hybrid pantograph differential equations
Iqbal, Muhammad
Shah, Kamal
Khan, Rahmat Ali
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2021, 44 (10) : 8113 - 8124
[39] Fixed point theorems for nonself Kannan type contractions in Banach spaces endowed with a graph
Balog, Laszlo
Berinde, Vasile
CARPATHIAN JOURNAL OF MATHEMATICS, 2016, 32 (03) : 293 - 302
[40] A Contraction Fixed Point Theorem in Partially Ordered Metric Spaces and Application to Fractional Differential Equations
Zhou, Xiangbing
Wu, Wenquan
Ma, Hongjiang
ABSTRACT AND APPLIED ANALYSIS, 2012,

← 1 2 3 4 5 →