Controllability of Fuzzy Solutions for Neutral Impulsive Functional Differential Equations with Nonlocal Conditions

被引:3
|
作者
Acharya, Falguni [1 ]
Kushawaha, Vandana [2 ]
Panchal, Jitendra [1 ]
Chalishajar, Dimplekumar [3 ]
机构
[1] Parul Univ, Parul Inst Engn & Technol, Dept Appl Sci & Humanities, Vadodara 391760, India
[2] Parul Univ, Parul Inst Appl Sci, Vadodara 391760, India
[3] Virginia Mil Inst, Dept Appl Math, 435 Mallory Hall, Lexington, VA 24450 USA
关键词
controllability; fuzzy set; fuzzy number; neutral impulsive differential equation; fixed point; fuzzy solution; nonlocal conditions; EXISTENCE; UNIQUENESS; SYSTEMS;
D O I
10.3390/axioms10020084
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, the controllability of fuzzy solutions for first order nonlocal impulsive neutral functional differential equations is explored using the Banach fixed point theorem. We utilized the concepts of the fuzzy set theory, functional analysis, and the Hausdorff metric. In the conclusion, an illustration is given to bolster the hypothesis.
引用
收藏
页数:14
相关论文
共 50 条
  • [1] Existence of solutions for impulsive neutral functional differential equations with nonlocal conditions
    Anguraj, A.
    Karthikeyan, K.
    [J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 70 (07) : 2717 - 2721
  • [2] Approximate controllability result for nonlinear impulsive neutral fuzzy stochastic differential equations with nonlocal conditions
    S Narayanamoorthy
    S Sowmiya
    [J]. Advances in Difference Equations, 2015
  • [3] Approximate controllability result for nonlinear impulsive neutral fuzzy stochastic differential equations with nonlocal conditions
    Narayanamoorthy, S.
    Sowmiya, S.
    [J]. ADVANCES IN DIFFERENCE EQUATIONS, 2015, : 1 - 16
  • [4] Existence for neutral impulsive functional differential equations with nonlocal conditions
    Li, M.
    Han, M.
    [J]. INDAGATIONES MATHEMATICAE-NEW SERIES, 2009, 20 (03): : 435 - 451
  • [5] Approximate controllability of fractional impulsive neutral stochastic differential equations with nonlocal conditions
    Yanchao Zang
    Junping Li
    [J]. Boundary Value Problems, 2013
  • [6] Approximate controllability of fractional impulsive neutral stochastic differential equations with nonlocal conditions
    Zang, Yanchao
    Li, Junping
    [J]. BOUNDARY VALUE PROBLEMS, 2013,
  • [7] CONTROLLABILITY OF SEMILINEAR NEUTRAL FUNCTIONAL DIFFERENTIAL EVOLUTION EQUATIONS WITH NONLOCAL CONDITIONS
    Kwun, Young Chel
    Park, So Hyun
    Park, Dong Gun
    Park, Jong Seo
    [J]. JOURNAL OF THE KOREAN SOCIETY OF MATHEMATICAL EDUCATION SERIES B-PURE AND APPLIED MATHEMATICS, 2008, 15 (03): : 245 - 257
  • [8] Controllability of semilinear impulsive differential equations with nonlocal conditions
    Li, Meili
    Kou, Chunhai
    Duan, Yongrui
    [J]. ADVANCED INTELLIGENT COMPUTING THEORIES AND APPLICATIONS, PROCEEDINGS: WITH ASPECTS OF THEORETICAL AND METHODOLOGICAL ISSUES, 2008, 5226 : 755 - +
  • [9] Analysis on Controllability Results for Impulsive Neutral Hilfer Fractional Differential Equations with Nonlocal Conditions
    Linitda, Thitiporn
    Karthikeyan, Kulandhaivel
    Sekar, Palanisamy Raja
    Sitthiwirattham, Thanin
    [J]. MATHEMATICS, 2023, 11 (05)
  • [10] Controllability of Hilfer fractional neutral impulsive stochastic delayed differential equations with nonlocal conditions
    Hussain, Sadam
    Sarwar, Muhammad
    Abodayeh, Kamaleldin
    Promsakon, Chanon
    Sitthiwirattham, Thanin
    [J]. CHAOS SOLITONS & FRACTALS, 2024, 183