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
  • [91] Highly efficient numerical scheme for solving fuzzy system of linear and non-linear equations with application in differential equations
    Shams, Mudassir
    Kausar, Nasreen
    Agarwal, Praveen
    Momani, Shaher
    Shah, Mohd Asif
    [J]. APPLIED MATHEMATICS IN SCIENCE AND ENGINEERING, 2022, 30 (01): : 777 - 810
  • [92] Existence and uniqueness results for a fractional Riemann-Liouville nonlocal thermistor problem on arbitrary time scales
    Sidi Ammi, Moulay Rchid
    Torres, Delfim F. M.
    [J]. JOURNAL OF KING SAUD UNIVERSITY SCIENCE, 2018, 30 (03) : 381 - 385
  • [93] Using fractional derivatives in joint control of hexapod robots
    Silva, Manuel F.
    Machado, J. A. Tenreiro
    Barbosa, Ramiro S.
    [J]. JOURNAL OF VIBRATION AND CONTROL, 2008, 14 (9-10) : 1473 - 1485
  • [94] A generalization of Hukuhara difference and division for interval and fuzzy arithmetic
    Stefanini, Luciano
    [J]. FUZZY SETS AND SYSTEMS, 2010, 161 (11) : 1564 - 1584
  • [95] Wang C., 2020, DEV MATH, V62
  • [96] Wang C., 2016, Nonauton. Dyn. Syst, V3, P24
  • [97] Wang C., 2022, COMBINED MEASURE SHI, V77
  • [98] Wang C., 2022, DYNAMIC EQUATIONS AL
  • [99] Fractional derivatives of fuzzy complex-variable functions and application to fuzzy fractional complex differential equations 
    Wang, Chao
    Zheng, Xin
    Li, Zhien
    Agarwal, Ravi P.
    [J]. FUZZY SETS AND SYSTEMS, 2023, 470
  • [100] Discrete fuzzy complex-valued function and complex fuzzy Caputo fractional difference equations
    Wang, Chao
    Tan, Ying
    Li, Zhien
    Agarwal, Ravi P.
    [J]. FUZZY SETS AND SYSTEMS, 2023, 465
45678910111213