On Implicit Neutral Caputo Tempered Fractional Differential Equations With Retarded And Advanced Arguments

被引:0
|
作者
Rahou, Wafaa [1 ]
Salim, Abdelkrim [2 ]
Lazreg, Jamal Eddine [1 ]
Benchohra, Mouffak [1 ]
机构
[1] Djillali Liabes Univ Sidi Bel Abbes, Lab Math, POB 89, Sidi Bel Abbes 22000, Algeria
[2] Hassiba Benbouali Univ Chlef, Fac Technol, POB 151, Chlef 02000, Algeria
来源
关键词
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The purpose of this article is to study the existence, uniqueness and Ulam stability results for a class of implicit neutral fractional differential equations involving the Caputo tempered fractional derivative with retarded and advanced arguments. The results are based on Banach's contraction principle, Schauder's and Darbo's fixed point theorems. To illustrate our results, we will give some examples.
引用
收藏
页码:160 / 179
页数:20
相关论文
共 50 条
  • [1] On Implicit Neutral Caputo Tempered Fractional Differential Equations With Delay
    Bettayeb, Nawal
    Salim, Abdelkrim
    Lazreg, Jamal Eddine
    Benchohra, Mouffak
    APPLIED MATHEMATICS E-NOTES, 2024, 24 : 424 - 442
  • [2] IMPLICIT FRACTIONAL DIFFERENTIAL EQUATIONS WITH ADVANCED ARGUMENTS AND THE CONVEX COMBINED CAPUTO DERIVATIVE
    Rahou, Wafaa
    Salim, Abdelkrim
    Lazreg, Jamal Eddine
    Benchohra, Mouffak
    ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2024, 54 (03) : 869 - 883
  • [3] Nonlinear Implicit Hadamard's Fractional Differential Equations with Retarded and Advanced Arguments
    Benchohra, M.
    Bouriah, S.
    Henderson, J.
    AZERBAIJAN JOURNAL OF MATHEMATICS, 2018, 8 (02): : 72 - 85
  • [4] On boundary value problems with implicit random Caputo tempered fractional differential equations
    Bekada, Fouzia
    Salim, Abdelkrim
    Benchohra, Mouffak
    JOURNAL OF ANALYSIS, 2025, : 971 - 987
  • [5] On Caputo tempered implicit fractional differential equations in b-metric spaces
    Salim, Abdelkrim
    Krim, Salim
    Lazreg, Jamal Eddine
    Benchohra, Mouffak
    ANALYSIS-INTERNATIONAL MATHEMATICAL JOURNAL OF ANALYSIS AND ITS APPLICATIONS, 2023, 43 (02): : 129 - 139
  • [6] Analysis of Neutral Stochastic Fractional Differential Equations Involving Riemann–Liouville Fractional Derivative with Retarded and Advanced Arguments
    Shahid Saifullah
    Sumbel Shahid
    Akbar Zada
    Qualitative Theory of Dynamical Systems, 2024, 23
  • [7] RANDOM SOLUTIONS FOR MIXED FRACTIONAL DIFFERENTIAL EQUATIONS WITH RETARDED AND ADVANCED ARGUMENTS
    Salim, Abdelkrim
    Boumaaza, Mokhtar
    Benchohra, Mouffak
    JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2022, 23 (07) : 1361 - 1375
  • [8] WEAK SOLUTIONS OF COUPLED CAPUTO TYPE MODIFICATION OF THE ERDELYI-KOBER IMPLICIT FRACTIONAL DIFFERENTIAL SYSTEMS WITH RETARDED AND ADVANCED ARGUMENTS
    Boumaaza, Mokhtar
    Benchohra, Mouffak
    Trujillo, Juan J.
    JORDAN JOURNAL OF MATHEMATICS AND STATISTICS, 2022, 15 (01): : 15 - 31
  • [9] Analysis of Neutral Stochastic Fractional Differential Equations Involving Riemann-Liouville Fractional Derivative with Retarded and Advanced Arguments
    Saifullah, Shahid
    Shahid, Sumbel
    Zada, Akbar
    QUALITATIVE THEORY OF DYNAMICAL SYSTEMS, 2024, 23 (01)
  • [10] Analysis of Neutral Implicit Stochastic Hilfer Fractional Differential Equation Involving Lévy Noise with Retarded and Advanced Arguments
    Khalil, Hamza
    Zada, Akbar
    Rhaima, Mohamed
    Popa, Ioan-Lucian
    MATHEMATICS, 2024, 12 (21)