Fuzzy Integro Dynamic Equations on Time Scales using Fuzzy Laplace Transform Method

被引:0
|
作者
Anuradha, M. N. L. [1 ]
Vasavi, C. H. [1 ]
Rao, T. Srinivasa [1 ]
Kumar, G. Suresh [1 ]
机构
[1] Koneru Lakshmaiah Educ Fdn, Dept Engn Math, Coll Engn, Vaddeswaram, Andhra Pradesh, India
关键词
Fuzzy Laplace transforms; strongly generalized differentiability; Delta(g)-derivative; time scales; fuzzy integrodynamic equations; VALUED FUNCTIONS; DIFFERENTIABILITY;
D O I
暂无
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
In this paper, we developed the calculus of fuzzy Laplace transforms under Hukuhara delta derivative for the fuzzy valued functions on time scales T. We developed the fundamental properties and related theorems which help to establish the relation between the fuzzy Laplace transforms of a fuzzy valued function on T and Hukuhara delta derivative to solve first order fuzzy dynamic equations on time scales. These results generalize the results of fuzzy Laplace transforms on fuzzy differential and difference calculus. There are many other time scales than set of Real numbers and integers, hence one can get much more general result. Also, we extended our results to study the fuzzy integro dynamic equation on time scales with kernel of convolution type.
引用
收藏
页码:1114 / 1121
页数:8
相关论文
共 50 条
  • [31] Interpolation in dynamic equations on time scales
    Garay, Barnabas M.
    Vardai, Judit
    JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2007, 13 (8-9) : 847 - 854
  • [32] Stability result for fractional fuzzy neutral integro-differential equations
    Priyadharsini, J.
    Seenivasan, V
    Senthilkumar, P.
    JOURNAL OF ANALYSIS, 2023, 31 (03) : 1617 - 1637
  • [33] Stochastic dynamic equations on time scales
    Du N.H.
    Dieu N.T.
    Acta Mathematica Vietnamica, 2013, 38 (2) : 317 - 338
  • [34] Dynamic equations on time scales: a survey
    Agarwal, R
    Bohner, M
    O'Regan, D
    Peterson, A
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2002, 141 (1-2) : 1 - 26
  • [35] Hyers-Ulam stability of Hermite fuzzy differential equations and fuzzy Mellin transform
    Ren, Wenjuan
    Yang, Zhanpeng
    Sun, Xian
    Qi, Min
    JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2018, 35 (03) : 3721 - 3731
  • [36] OSCILLATORY AND ASYMPTOTIC BEHAVIOR OF SOLUTIONS FOR SECOND-ORDER NONLINEAR INTEGRO-DYNAMIC EQUATIONS ON TIME SCALES
    Agarwal, Ravi P.
    Grace, Said R.
    O'Regan, Donal
    Zafer, Agacik
    ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2014,
  • [37] Almost periodic fractional fuzzy dynamic equations on timescales: A survey
    Wang, Chao
    Tan, Ying
    Agarwal, Ravi P.
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2024, 47 (04) : 2345 - 2401
  • [38] QUALITATIVE ANALYSIS OF DYNAMIC EQUATIONS ON TIME SCALES USING LYAPUNOV FUNCTIONS
    Messina, Eleonora
    Raffoul, Youssef
    Vecchio, Antonia
    DIFFERENTIAL EQUATIONS & APPLICATIONS, 2022, 14 (02): : 215 - 226
  • [39] On reachability and controllability for a Volterra integro-dynamic system on time scales
    dos Santos, Iguer Luis Domini
    Tikare, Sanket
    STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA, 2025, 70 (01): : 115 - 126
  • [40] Stability of abstract dynamic equations on time scales by Lyapunov's second method
    Hamza, Alaa
    Oraby, Karima
    TURKISH JOURNAL OF MATHEMATICS, 2018, 42 (03) : 841 - 861