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
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
  • [21] Stability of Ulam–Hyers and Ulam–Hyers–Rassias for a class of fractional differential equations
    Qun Dai
    Ruimei Gao
    Zhe Li
    Changjia Wang
    Advances in Difference Equations, 2020
  • [22] RESULTS OF CONFORMABLE FRACTIONAL WEIGHTED NEUTRAL INTEGRO-DIFFERENTIAL EQUATIONS
    Budhi, Sripathy
    Sajja, Venkata subrahmanyam
    Lanka, Swetha
    Velusamy, Kavitha
    Mani, Mallika arjunan
    JOURNAL OF APPLIED MATHEMATICS & INFORMATICS, 2024, 42 (06): : 1389 - 1399
  • [23] Hyers-Ulam and Hyers-Ulam-Rassias Stability for a Class of Fractional Evolution Differential Equations with Neutral Time Delay
    Alharbi, Kholoud N.
    SYMMETRY-BASEL, 2025, 17 (01):
  • [24] Sturm's theorems for conformable fractional differential equations
    Pospisil, Michal
    Skripkova, Lucia Pospisilova
    MATHEMATICAL COMMUNICATIONS, 2016, 21 (02) : 273 - 281
  • [25] Piecewise conformable fractional impulsive differential system with delay: existence, uniqueness and Ulam stability
    Zhang, Luchao
    Liu, Xiping
    Jia, Mei
    Yu, Zhensheng
    JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2024, 70 (02) : 1543 - 1570
  • [26] Piecewise conformable fractional impulsive differential system with delay: existence, uniqueness and Ulam stability
    Luchao Zhang
    Xiping Liu
    Mei Jia
    Zhensheng Yu
    Journal of Applied Mathematics and Computing, 2024, 70 : 1543 - 1570
  • [27] Ulam–Hyers Stability for Fractional Differential Equations in Quaternionic Analysis
    Zhan-Peng Yang
    Tian-Zhou Xu
    Min Qi
    Advances in Applied Clifford Algebras, 2016, 26 : 469 - 478
  • [28] GENERALIZED ULAM-HYERS STABILITY FOR FRACTIONAL DIFFERENTIAL EQUATIONS
    Ibrahim, Rabha W.
    INTERNATIONAL JOURNAL OF MATHEMATICS, 2012, 23 (05)
  • [29] Nonlinear impulsive problems for fractional differential equations and Ulam stability
    Wang, JinRong
    Zhou, Yong
    Feckan, Michal
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2012, 64 (10) : 3389 - 3405
  • [30] Existence of Ulam Stability for Iterative Fractional Differential Equations Based on Fractional Entropy
    Ibrahim, Rabha W.
    Jalab, Hamid A.
    ENTROPY, 2015, 17 (05): : 3172 - 3181