φ-CONTRACTION AND ITS APPLICATION TO FRACTIONAL DIFFERENTIAL EQUATION

被引：0
|
作者：
Meena, Gopal [1 ]
Jain, Satyendra Kumar [2 ]
Maitra, J. K. [3 ]
机构：
[1] Jabalpur Engn Coll, Jabalpur, MP, India
[2] St Aloysius Coll Jabalpur, Jabalpur, MP, India
[3] RDVV Jabalpur, Jabalpur, MP, India
来源：
ADVANCES AND APPLICATIONS IN MATHEMATICAL SCIENCES | 2021年 / 20卷 / 08期
关键词：
fixed point; metric space; contraction;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this article we defined phi contraction, which is more globally than previously defined phi contraction and generalized Khan contraction [4]. More general phenomena have also been shown by giving the suitable examples. The rearmost part of this article consists of the application of this contraction to fractional differential equation.
引用
收藏
页码：1609 / 1622
页数：14
相关论文
共 50 条
  • [1] Multivalued problems via orthogonal contraction mappings with application to fractional differential equation
    Sumit Chandok
    R. K. Sharma
    Stojan Radenović
    Journal of Fixed Point Theory and Applications, 2021, 23
  • [2] Multivalued problems via orthogonal contraction mappings with application to fractional differential equation
    Chandok, Sumit
    Sharma, R. K.
    Radenovic, Stojan
    JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2021, 23 (02)
  • [3] Approximation of fixed point and its application to fractional differential equation
    Sabiya Khatoon
    Izhar Uddin
    Dumitru Baleanu
    Journal of Applied Mathematics and Computing, 2021, 66 : 507 - 525
  • [4] Approximation of fixed point and its application to fractional differential equation
    Khatoon, Sabiya
    Uddin, Izhar
    Baleanu, Dumitru
    JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2021, 66 (1-2) : 507 - 525
  • [5] Some existence results for a differential equation and an inclusion of fractional order via (convex) F-contraction mapping
    Vahid Roomi
    Hojjat Afshari
    Sabileh Kalantari
    Journal of Inequalities and Applications, 2024
  • [6] Solving a Fractional-Order Differential Equation Using Rational Symmetric Contraction Mappings
    Hammad, Hasanen A.
    Agarwal, Praveen
    Momani, Shaher
    Alsharari, Fahad
    FRACTAL AND FRACTIONAL, 2021, 5 (04)
  • [7] On the Iterative Multivalued ⊥-Preserving Mappings and an Application to Fractional Differential Equation
    Nazam, Muhammad
    Chandok, Sumit
    Hussain, Aftab
    Sulmi, Hamed H. Al
    AXIOMS, 2023, 12 (01)
  • [8] Stability and convergence ofFiterative scheme with an application to the fractional differential equation
    Ali, Javid
    Jubair, Mohd
    Ali, Faeem
    ENGINEERING WITH COMPUTERS, 2022, 38 (SUPPL 1) : 693 - 702
  • [9] Application of Fixed Points in Bipolar Controlled Metric Space to Solve Fractional Differential Equation
    Mani, Gunaseelan
    Ramaswamy, Rajagopalan
    Gnanaprakasam, Arul Joseph
    Elsonbaty, Amr
    Abdelnaby, Ola A. Ashour
    Radenovic, Stojan
    FRACTAL AND FRACTIONAL, 2023, 7 (03)
  • [10] TOPOLOGICAL STRUCTURE OF THE FIXED POINT SET OF 1-SET CONTRACTION MAP AND ITS APPLICATION TO FRACTIONAL DIFFERENTIAL INCLUSIONS
    Soltani, Zeinab
    JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2020, 21 (03) : 671 - 682
12345