Almost periodic fractional fuzzy dynamic equations on timescales: A survey

被引：0
作者：
Wang, Chao [1 ]
Tan, Ying [1 ]
Agarwal, Ravi P. [2 ,3 ,4 ]
机构：
[1] Yunnan Univ, Dept Math, Kunming, Peoples R China
[2] Texas A&M Univ, Dept Math, Kingsville, TX USA
[3] Florida Inst Technol, Melbourne, FL USA
[4] Texas A&M Univ, Dept Math, Kingsville, TX 78363 USA
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2024年 / 47卷 / 04期
关键词：
almost periodic; fractional calculus; fuzzy fractional dynamic equations; timescales; INITIAL-VALUE PROBLEM; TIME SCALES; DIFFERENTIAL-EQUATIONS; EXPONENTIAL STABILITY; NUMERICAL-SOLUTION; VALUED FUNCTIONS; NEURAL-NETWORKS; EULER-LAGRANGE; TAU METHOD; CALCULUS;
D O I：
10.1002/mma.9751
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we systematically present some main results of the fractional calculus, almost periodic functions, fuzzy functions, fuzzy fractional calculus, and almost periodic generalized fuzzy dynamic equations on timescales. Moreover, the potential future research of almost periodic fractional fuzzy dynamic equations on timescales is discussed. The results presented in this survey can be applied to study the qualitative theory of almost periodic fractional fuzzy dynamic equations and fuzzy fractional calculus on timescales.
引用
收藏
页码：2345 / 2401
页数：57
相关论文
共 125 条
  • [81] Rafiq N., 2021, MATH PROBL ENG, V2021, P1
  • [82] KINETICS OF WOOD SACCHARIFICATION - HYDROLYSIS OF CELLULOSE AND DECOMPOSITION OF SUGARS IN DILUTE ACID AT HIGH TEMPERATURE
    SAEMAN, JF
    [J]. INDUSTRIAL AND ENGINEERING CHEMISTRY, 1945, 37 (01): : 43 - 52
  • [83] A fractional derivative with non-singular kernel for interval-valued functions under uncertainty
    Salahshour, S.
    Ahmadian, A.
    Ismail, F.
    Baleanu, D.
    [J]. OPTIK, 2017, 130 : 273 - 286
  • [84] Existence and uniqueness results for fractional differential equations with uncertainty
    Salahshour, S.
    Allahviranloo, T.
    Abbasbandy, S.
    Baleanu, D.
    [J]. ADVANCES IN DIFFERENCE EQUATIONS, 2012,
  • [85] Salahshour S., 2015, EXISTENCE SOLUTIONS, P1
  • [86] A New fractional derivative for differential equation of fractional order under interval uncertainty
    Salahshour, Soheil
    Ahmadian, Ali
    Ismail, Fudzial
    Baleanu, Dumitru
    Senu, Norazak
    [J]. ADVANCES IN MECHANICAL ENGINEERING, 2015, 7 (12):
  • [87] Sendov B., 1990, HAUSDORF APPROXIMATI
  • [88] Shah K., 2023, INTECHOPEN, P170
  • [89] INVESTIGATION OF INTEGRAL BOUNDARY VALUE PROBLEM WITH IMPULSIVE BEHAVIOR INVOLVING NON-SINGULAR DERIVATIVE
    Shah, Kamal
    Abdeljawad, Thabet
    Ali, Arshad
    Alqudah, Manar A.
    [J]. FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 2022, 30 (08)
  • [90] Computationally semi-numerical technique for solving system of intuitionistic fuzzy differential equations with engineering applications
    Shams, Mudassir
    Kausar, Nasreen
    Kousar, Sajida
    Pamucar, Dragan
    Ozbilge, Ebru
    Tantay, Bahadir
    [J]. ADVANCES IN MECHANICAL ENGINEERING, 2022, 14 (12)
45678910111213