Study on fractional random differential equations with not instantaneous impulses

被引:0
作者
Harikrishnan, S. [1 ]
Kanagarajan, K. [2 ]
Elsayed, E. M. [3 ]
机构
[1] PPG Coll Arts & Sci, Dept Math, Coimbatore, Tamil Nadu, India
[2] Sri Ramakrishna Mission Vidyalaya Coll Arts & Sci, Dept Math, Coimbatore 641020, Tamil Nadu, India
[3] Mansoura Univ, Dept Math, Fac Sci, Mansoura 35516, Egypt
关键词
random differential equations; non-instantaneous impulse; fractional derivative; existence; stability;
D O I
10.32513/tmj/19322008127
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we investigate the existence of solution for not instantaneous impulsive fractional differential equations with random parameter. By using fixed point theorems, we establish sufficient conditions for the existence and uniqueness of solutions. Finally, generalized Ulam Hyers Rassias stable solution is also obtained.
引用
收藏
页码:117 / 126
页数:10
相关论文
共 50 条
  • [11] On Fractional Differential Equations with Riesz-Caputo Derivative and Non-Instantaneous Impulses
    Rahou, Wafaa
    Salim, Abdelkrim
    Lazreg, Jamal Eddine
    Benchohra, Mouffak
    SAHAND COMMUNICATIONS IN MATHEMATICAL ANALYSIS, 2023, 20 (03): : 109 - 132
  • [12] Variational method to differential equations with instantaneous and non-instantaneous impulses
    Tian, Yu
    Zhang, Min
    APPLIED MATHEMATICS LETTERS, 2019, 94 : 160 - 165
  • [13] Optimal Controls of Systems Governed by Semilinear Fractional Differential Equations with Not Instantaneous Impulses
    Liu, Shengda
    Wang, JinRong
    JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2017, 174 (02) : 455 - 473
  • [14] Mild solutions for class of neutral fractional functional differential equations with not instantaneous impulses
    Gautam, Ganga Ram
    Dabas, Jaydev
    APPLIED MATHEMATICS AND COMPUTATION, 2015, 259 : 480 - 489
  • [15] Uniqueness and Ulam stabilities results for partial fractional differential equations with not instantaneous impulses
    Abbas, Said
    Benchohra, Mouffak
    APPLIED MATHEMATICS AND COMPUTATION, 2015, 257 : 190 - 198
  • [16] Hilfer fractional neutral stochastic differential equations with non-instantaneous impulses
    Kasinathan, Ramkumar
    Kasinathan, Ravikumar
    Baleanu, Dumitru
    Annamalai, Anguraj
    AIMS MATHEMATICS, 2021, 6 (05): : 4474 - 4491
  • [17] Semilinear fractional differential equations with infinite delay and non-instantaneous impulses
    Benchohra, Mouffak
    Litimein, Sara
    Nieto, Juan J.
    JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2019, 21 (01)
  • [18] Variational method for p-Laplacian fractional differential equations with instantaneous and non-instantaneous impulses
    Qiao, Yan
    Chen, Fangqi
    An, Yukun
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2021, 44 (11) : 8543 - 8553
  • [19] Existence Results for Fractional Neutral Functional Differential Equations with Random Impulses
    Anguraj, Annamalai
    Ranjini, Mullarithodi C.
    Rivero, Margarita
    Trujillo, Juan J.
    MATHEMATICS, 2015, 3 (01): : 16 - 28
  • [20] MULTIPLE SOLUTIONS FOR P-LAPLACIAN KIRCHHOFF-TYPE FRACTIONAL DIFFERENTIAL EQUATIONS WITH INSTANTANEOUS AND NON-INSTANTANEOUS IMPULSES
    Yao, Wangjin
    Zhang, Huiping
    JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2025, 15 (01): : 422 - 441