Implicit Caputo Tempered Fractional Differential Boundary Value Problems with Infinite Delay in Banach Spaces

被引：0
|
作者：
Rahou, W. [1 ]
Salim, A. [2 ]
Lazreg, J. E. [3 ]
Benchohra, M. [3 ]
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, Math, POB 151, Chlef 02000, Algeria
[3] Djillali Liabes Univ Sidi Bel Abbes, Lab Math, Math, POB 89, Sidi Bel Abbes 22000, Algeria
来源：
JOURNAL OF MATHEMATICAL EXTENSION | 2023年 / 17卷 / 06期
关键词：
Caputo tempered fractional derivative; implicit boundary problem; existence; fixed point; measure of noncompactness; infinite delay; Ulam stability; EQUATIONS; STABILITY; EXISTENCE;
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 and Ulam-Hyers stability results for a class of boundary value problems with Caputo tempered fractional derivative and infinite delay. The results are based on Monch's fixed point theorem. An illustrative example is given to demonstrate the applicability of our results.
引用
收藏
页数：28
相关论文
共 50 条
  • [1] On boundary value problems with implicit random Caputo tempered fractional differential equations
    Bekada, Fouzia
    Salim, Abdelkrim
    Benchohra, Mouffak
    JOURNAL OF ANALYSIS, 2025, : 971 - 987
  • [2] Nonlinear contractions and Caputo tempered implicit fractional differential equations in b-metric spaces with infinite delay
    Krim, Salim
    Salim, Abdelkrim
    Benchohra, Mouffak
    FILOMAT, 2023, 37 (22) : 7491 - 7503
  • [3] Boundary value problems for fractional differential equations involving Caputo derivative in Banach spaces
    JinRong Wang
    Linli Lv
    Yong Zhou
    Journal of Applied Mathematics and Computing, 2012, 38 (1-2) : 209 - 224
  • [4] Boundary value problems for fractional differential equations involving Caputo derivative in Banach spaces
    Wang, JinRong
    Lv, Linli
    Zhou, Yong
    JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2012, 38 (1-2) : 209 - 224
  • [5] BOUNDARY VALUE PROBLEMS FOR CAPUTO-HADAMARD FRACTIONAL DIFFERENTIAL INCLUSIONS IN BANACH SPACES
    Hammou, Amouria
    Hamani, Samira
    Henderson, Johnny
    ARCHIVUM MATHEMATICUM, 2022, 58 (04): : 227 - 240
  • [6] 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
  • [7] Implicit fractional differential equations with Φ-Caputo fractional derivative in Banach spaces
    Baitiche, Zidane
    Derbazi, Choukri
    JOURNAL OF INTERDISCIPLINARY MATHEMATICS, 2022, 25 (05) : 1237 - 1252
  • [8] On Periodic solutions for implicit nonlinear Caputo tempered fractional differential problems
    Bouriah, Soufyane
    Salim, Abdelkrim
    Benchohra, Mouffak
    Karapinar, Erdal
    DEMONSTRATIO MATHEMATICA, 2024, 57 (01)
  • [9] Existence of solutions for an infinite system of tempered fractional order boundary value problems in the spaces of tempered sequences
    Mahammad, Khuddush
    Kapula, Rajendra Prasad
    Doddi, Leela
    TURKISH JOURNAL OF MATHEMATICS, 2022, 46 : 433 - 452
  • [10] 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
12345