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 42 条
  • [1] Abbas S, 2018, DEGRUYTER SER NONLIN, V26, P1, DOI 10.1515/9783110553819
  • [2] Abbas S., 2014, ADV FRACTIONAL DIFFE
  • [3] Abbas S., 2023, FRACTIONAL DIFFERENT
  • [4] Abbas S., 2012, TOPICS FRACTIONAL DI
  • [5] A Generalized Definition of the Fractional Derivative with Applications
    Abu-Shady, M.
    Kaabar, Mohammed K. A.
    [J]. MATHEMATICAL PROBLEMS IN ENGINEERING, 2021, 2021
  • [6] Dynamics of the worm transmission in wireless sensor network in the framework of fractional derivatives
    Achar, Sindhu J.
    Baishya, Chandrali
    Kaabar, Mohammed K. A.
    [J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2022, 45 (08) : 4278 - 4294
  • [7] Ahmed I., 2021, Journal of Mathematical Analysis and Modeling, V2, P88, DOI [10.48185/jmam.v2i3.421, DOI 10.48185/JMAM.V2I3.421]
  • [8] On Hilfer generalized proportional fractional derivative
    Ahmed, Idris
    Kumam, Poom
    Jarad, Fahd
    Borisut, Piyachat
    Jirakitpuwapat, Wachirapong
    [J]. ADVANCES IN DIFFERENCE EQUATIONS, 2020, 2020 (01)
  • [9] Analysis and numerical approximation of tempered fractional calculus of variations problems
    Almeida, Ricardo
    Luisa Morgado, M.
    [J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2019, 361 : 1 - 12
  • [10] Approximate solutions for a fractional hybrid initial value problem via the Caputo conformable derivative
    Amara, Abdelkader
    Etemad, Sina
    Rezapour, Shahram
    [J]. ADVANCES IN DIFFERENCE EQUATIONS, 2020, 2020 (01)
12345