Ulam's Stability of Conformable Neutral Fractional Differential Equations

被引：2
|
作者：
Ahmad, Manzoor [1 ]
Zada, Akbar [1 ]
机构：
[1] Univ Peshawar, Dept Math, Peshawar, Pakistan
来源：
BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA | 2023年 / 41卷
关键词：
Conformable fractional derivative; neutral fractional differential equations; Ulam-Hyres stability; Ulam-Hyers-Mittag-Leffler stability; EXISTENCE; SYSTEMS;
D O I：
10.5269/bspm.51442
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This article is concerned with the existence and uniqueness of solutions of a nonlinear neutral fractional differential system with infinite delay, involving conformable fractional derivative. Additionally, we study the Ulam-Hyres stability, Ulam-Hyres-Mittag-Leffler stability, Ulam-Hyres-Mittag-Leffler-Rassias stability for the solutions of considered system using Picard operator. For application of the theory, we add an example at the end.
引用
收藏
页数：13
相关论文
共 50 条
  • [41] Ulam Stability for Delay Fractional Differential Equations with a Generalized Caputo Derivative
    Ameen, Raad
    Jarad, Fahd
    Abdeljawad, Thabet
    FILOMAT, 2018, 32 (15) : 5265 - 5274
  • [42] Local Existence and Ulam Stability Results for Nonlinear Fractional Differential Equations
    Khochemane, Houssem Eddine
    Ardjouni, Abdelouaheb
    Guerouah, Amin
    Zitouni, Salah
    JOURNAL OF APPLIED NONLINEAR DYNAMICS, 2020, 9 (04) : 655 - 666
  • [43] Hyers–Ulam Stability to a Class of Fractional Differential Equations with Boundary Conditions
    Haq F.
    Shah K.
    Rahman G.
    Shahzad M.
    International Journal of Applied and Computational Mathematics, 2017, 3 (Suppl 1) : 1135 - 1147
  • [44] Ulam-Hyers stability of pantograph fractional stochastic differential equations
    Mchiri, Lassaad
    Ben Makhlouf, Abdellatif
    Rguigui, Hafedh
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2023, 46 (04) : 4134 - 4144
  • [45] Ulam-Hyers Stability for Fractional Differential Equations in Quaternionic Analysis
    Yang, Zhan-Peng
    Xu, Tian-Zhou
    Qi, Min
    ADVANCES IN APPLIED CLIFFORD ALGEBRAS, 2016, 26 (01) : 469 - 478
  • [46] Ulam-Hyers-Rassias stability for generalized fractional differential equations
    Boucenna, Djalal
    Ben Makhlouf, Abdellatif
    El-hady, El-sayed
    Hammami, Mohamed Ali
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2021, 44 (13) : 10267 - 10280
  • [47] Ulam type stability analysis for generalized proportional fractional differential equations
    Hristova, S.
    Abbas, M. I.
    CARPATHIAN MATHEMATICAL PUBLICATIONS, 2024, 16 (01) : 114 - 127
  • [48] Stability of Ulam-Hyers and Ulam-Hyers-Rassias for a class of fractional differential equations
    Dai, Qun
    Gao, Ruimei
    Li, Zhe
    Wang, Changjia
    ADVANCES IN DIFFERENCE EQUATIONS, 2020, 2020 (01)
  • [49] Stability results for neutral fractional stochastic differential equations
    Kahouli, Omar
    Albadran, Saleh
    Elleuch, Zied
    Bouteraa, Yassine
    Ben Makhlouf, Abdellatif
    AIMS MATHEMATICS, 2024, 9 (02): : 3253 - 3263
  • [50] Well-posedness and Ulam-Hyers stability results of solutions to pantograph fractional stochastic differential equations in the sense of conformable derivatives
    Albalawi, Wedad
    Liaqat, Muhammad Imran
    Din, Fahim Ud
    Nisar, Kottakkaran Sooppy
    Abdel-Aty, Abdel-Haleem
    AIMS MATHEMATICS, 2024, 9 (05): : 12375 - 12398
12345