A class of nonlocal impulsive differential equations with conformable fractional derivative

被引：1
|
作者：
Bouaouid, Mohamed [1 ]
Kajouni, Ahmed [1 ]
Hilal, Khalid [1 ]
Melliani, Said [1 ]
机构：
[1] Sultan Moulay Slimane Univ, Fac Sci & Tech, Dept Math, BP 523, Beni Mellal 23000, Morocco
来源：
CUBO-A MATHEMATICAL JOURNAL | 2022年 / 24卷 / 03期
关键词：
Functional-differential equations with fractional derivatives; Groups and semigroups of linear operators; Nonlocal conditions; Impulsive conditions; Conformable fractional derivatives; EXISTENCE;
D O I：
10.56754/0719-0646.2403.0439
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we deal with the Duhamel formula, existence, uniqueness, and stability of mild solutions of a class of nonlocal impulsive differential equations with conformable fractional derivative. The main results are based on the semigroup theory combined with some fixed point theorems. We also give an example to illustrate the applicability of our abstract results
引用
收藏
页码：439 / 455
页数：17
相关论文
共 50 条
  • [31] On a class of nonlinear nonlocal fractional differential equations
    Fazli, Hossein
    Sun, Hongguang
    Aghchi, Sima
    Nieto, Juan J.
    CARPATHIAN JOURNAL OF MATHEMATICS, 2021, 37 (03) : 441 - 448
  • [32] Study of nonlocal impulsive conformable fractional evolution problems
    Taqbibt, Abdellah
    Chefnaj, Najat
    Hilal, Khalid
    Elomari, M'hamed
    ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2024, 17 (08)
  • [33] STABILITY FOR CONFORMABLE IMPULSIVE DIFFERENTIAL EQUATIONS
    Ding, Yuanlin
    Feckan, Michal
    Wang, Jinrong
    ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2020,
  • [34] Conformable Impulsive Delay Differential Equations
    Sunkavilli, Madhuri
    Deekshitulu, G. V. S. R.
    JOURNAL OF APPLIED NONLINEAR DYNAMICS, 2024, 13 (01) : 177 - 189
  • [35] Manifestation of interval uncertainties for fractional differential equations under conformable derivative
    Rahaman, Mostafijur
    Mondal, Sankar Prasad
    Alam, Shariful
    Metwally, Ahmed Sayed M.
    Salahshour, Soheil
    Salimi, Mehdi
    Ahmadian, Ali
    CHAOS SOLITONS & FRACTALS, 2022, 165
  • [36] A SOLUTION METHOD FOR INTEGRO-DIFFERENTIAL EQUATIONS OF CONFORMABLE FRACTIONAL DERIVATIVE
    Bayram, Mustafa
    Hatipoglu, Veysel Fuat
    Alkan, Sertan
    Das, Sebahat Ebru
    THERMAL SCIENCE, 2018, 22 : S7 - S14
  • [37] Monotone Iterative Technique for Nonlinear Impulsive Conformable Fractional Differential Equations With Delay
    Thaiprayoon, Chatthai
    Ntouyas, Sotiris K.
    Tariboon, Jessada
    COMMUNICATIONS IN MATHEMATICS AND APPLICATIONS, 2021, 12 (01): : 11 - 27
  • [38] A class of piecewise fractional functional differential equations with impulsive
    Jia, Mei
    Li, Tingle
    Liu, Xiping
    INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION, 2023, 24 (05) : 1683 - 1704
  • [39] Existence results of mild solutions for nonlocal fractional delay integro-differential evolution equations via Caputo conformable fractional derivative
    Rabhi, Lahcene
    Al Horani, Mohammed
    Khalil, Roshdi
    AIMS MATHEMATICS, 2022, 7 (07): : 11614 - 11634
  • [40] Nonlocal Conformable-Fractional Differential Equations with a Measure of Noncompactness in Banach Spaces
    Bouaouid, Mohamed
    Hannabou, Mohamed
    Hilal, Khalid
    JOURNAL OF MATHEMATICS, 2020, 2020
12345