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
  • [41] Langevin differential equation of fractional order in non compactness Banach space
    Bezziou, Mohamed
    Dahmani, Zoubir
    Ndiaye, Ameth
    JOURNAL OF INTERDISCIPLINARY MATHEMATICS, 2020, 23 (04) : 857 - 876
  • [42] Hybrid Ciric Type Graphic (Υ, Λ)-Contraction Mappings with Applications to Electric Circuit and Fractional Differential Equations
    Ameer, Eskandar
    Aydi, Hassen
    Arshad, Muhammad
    De la Sen, Manuel
    SYMMETRY-BASEL, 2020, 12 (03):
  • [43] Common Fixed Point Theorems for Novel Admissible Contraction with Applications in Fractional and Ordinary Differential Equations
    Atiponrat, Watchareepan
    Varnakovida, Pariwate
    Chanthorn, Pharunyou
    Suebcharoen, Teeranush
    Charoensawan, Phakdi
    MATHEMATICS, 2023, 11 (15)
  • [44] A study of symmetric contractions with an application to generalized fractional differential equations
    Aftab Hussain
    Fahd Jarad
    Erdal Karapinar
    Advances in Difference Equations, 2021
  • [45] ON MULTIVALUED θ-CONTRACTIONS OF BERINDE TYPE WITH AN APPLICATION TO FRACTIONAL DIFFERENTIAL INCLUSIONS
    Meneceur, Maroua
    Beloul, Said
    FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS, 2021, 36 (05): : 1047 - 1063
  • [46] On Graphical Fuzzy Metric Spaces with Application to Fractional Differential Equations
    Saleem, Naeem
    Ishtiaq, Umar
    Guran, Liliana
    Bota, Monica-Felicia
    FRACTAL AND FRACTIONAL, 2022, 6 (05)
  • [47] On the Application of Measure of Noncompactness to the Existence of Solutions for Fractional Differential Equations
    Agarwal, Ravi P.
    Benchohra, Mouffak
    Seba, Djamila
    RESULTS IN MATHEMATICS, 2009, 55 (3-4) : 221 - 230
  • [48] Common fixed point theorems for auxiliary functions with applications in fractional differential equation
    Wongsaijai, Ben
    Charoensawan, Phakdi
    Suebcharoen, Teeranush
    Atiponrat, Watchareepan
    ADVANCES IN DIFFERENCE EQUATIONS, 2021, 2021 (01)
  • [49] Fractional Differential Boundary Value Equation Utilizing the Convex Interpolation for Symmetry of Variables
    Hussain, Aftab
    SYMMETRY-BASEL, 2023, 15 (06):
  • [50] On the Application of Measure of Noncompactness to the Existence of Solutions for Fractional Differential Equations
    Ravi P. Agarwal
    Mouffak Benchohra
    Djamila Seba
    Results in Mathematics, 2009, 55
12345