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
相关论文
共 50 条
  • [1] On a new fixed point theorem with an application on a coupled system of fractional differential equations
    Afshari, Hojjat
    Jarad, Fahd
    Abdeljawad, Thabet
    ADVANCES IN DIFFERENCE EQUATIONS, 2020, 2020 (01)
  • [2] Applications of some fixed point theorems for fractional differential equations with Mittag-Leffler kernel
    Afshari, Hojjat
    Baleanu, Dumitru
    ADVANCES IN DIFFERENCE EQUATIONS, 2020, 2020 (01)
  • [3] Fixed-Point Theorems for Systems of Operator Equations and Their Applications to the Fractional Differential Equations
    Zhang, Xinqiu
    Liu, Lishan
    Zou, Yumei
    JOURNAL OF FUNCTION SPACES, 2018, 2018
  • [4] Hybrid fixed point theorems with application to fractional evolution equations
    Yang, He
    Ibrahim, Elyasa
    Ma, Jin
    JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2017, 19 (04) : 2663 - 2679
  • [5] SOLUTIONS OF FRACTIONAL HYBRID DIFFERENTIAL EQUATIONS VIA FIXED POINT THEOREMS AND PICARD APPROXIMATIONS
    Abusalim, Sahar Mohammad A.
    ADVANCES IN DIFFERENTIAL EQUATIONS AND CONTROL PROCESSES, 2022, 29 : 65 - 100
  • [6] Application of Schauder fixed point theorem to a coupled system of differential equations of fractional order
    Hao, Mengru
    Zhai, Chengbo
    JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2014, 7 (02): : 131 - 137
  • [7] SOME PROPERTIES OF SETS, FIXED POINT THEOREMS IN ORDERED PRODUCT SPACES AND APPLICATIONS TO A NONLINEAR SYSTEM OF FRACTIONAL DIFFERENTIAL EQUATIONS
    Zhai, Chengbo
    Ren, Jing
    TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, 2017, 49 (02) : 625 - 645
  • [8] Fixed Point Theorems for Generalized αs-ψ-Contractions with Applications
    Ma, Zhenhua
    Nazam, Muhammad
    Khan, Sami Ullah
    Li, Xiangling
    JOURNAL OF FUNCTION SPACES, 2018, 2018
  • [9] Fixed point theorems for a class of nonlinear sum-type operators and application in a fractional differential equation
    Wang, Hui
    Zhang, Lingling
    Wang, Xiaoqiang
    BOUNDARY VALUE PROBLEMS, 2018,
  • [10] SOLUTION OF FRACTIONAL DIFFERENTIAL EQUATIONS VIA COUPLED FIXED POINT
    Afshari, Hojjat
    Kalantari, Sabileh
    Karapinar, Erdal
    ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2015, : 1 - 12
12345