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
  • [21] Certain Novel Fixed-Point Theorems Applied to Fractional Differential Equations
    Din, Muhammad
    Ishtiaq, Umar
    Alnowibet, Khalid A.
    Lazar, Tania A.
    Lazar, Vasile L.
    Guran, Liliana
    FRACTAL AND FRACTIONAL, 2024, 8 (12)
  • [22] Some common fixed point theorems for strict contractions
    Ahmed, Mohamed A.
    INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, 2022, 13 (01): : 1445 - 1450
  • [23] New Fixed Point Theorems in Orthogonal F-Metric Spaces with Application to Fractional Differential Equation
    Kanwal, Tanzeela
    Hussain, Azhar
    Baghani, Hamid
    de la Sen, Manuel
    SYMMETRY-BASEL, 2020, 12 (05):
  • [24] Fixed Point Theorems for Multi-Valued Contractions in b-Metric Spaces With Applications to Fractional Differential and Integral Equations
    Shoaib, Muhammad
    Abdeljawad, Thabet
    Sarwar, Muhammad
    Jarad, Fahd
    IEEE ACCESS, 2019, 7 : 127373 - 127383
  • [25] Some fixed point theorems for (ψ - φ)-almost weak contractions in S-metric spaces solving conformable differential equations
    Nashine, Hemant Kumar
    Saluja, G. S.
    Ibrahim, Rabha W.
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2020, 2020 (01):
  • [26] On some fixed point theorems for multivalued F-contractions in partial metric spaces
    Kumar, Santosh
    Luambano, Sholastica
    DEMONSTRATIO MATHEMATICA, 2021, 54 (01) : 151 - 161
  • [27] SOME EXISTENCE RESULTS FOR FRACTIONAL DIFFERENTIAL INCLUSIONS VIA FIXED POINT THEOREMS
    Roomi, Vahid
    Afshari, Hojjat
    Kalantari, Sabileh
    FIXED POINT THEORY, 2022, 23 (02): : 673 - 687
  • [28] Fixed point theorems for φ-contractions
    Maria Samreen
    Quanita Kiran
    Tayyab Kamran
    Journal of Inequalities and Applications, 2014
  • [29] Fixed point theorems for φ-contractions
    Samreen, Maria
    Kiran, Quanita
    Kamran, Tayyab
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2014,
  • [30] New Relation-Theoretic Fixed Point Theorems in Fuzzy Metric Spaces with an Application to Fractional Differential Equations
    Saleh, Samera M.
    Alfaqih, Waleed M.
    Sessa, Salvatore
    Di Martino, Ferdinando
    AXIOMS, 2022, 11 (03)
12345