On approximate controllability of multi-term time fractional measure differential equations with nonlocal conditions

被引：8
|
作者：
Diop, Amadou [1 ]
机构：
[1] Univ Gaston Berger St Louis, UFR SAT, Dept Matemat, Lab Anal Numer & Informat, St Louis, Senegal
来源：
FRACTIONAL CALCULUS AND APPLIED ANALYSIS | 2022年 / 25卷 / 05期
关键词：
Regulated functions; Henstock-Lebesgue-Stieltjes integral; Fractional calculus; Generalized semigroup theory; Multi-term time-fractional; Fixed point theory; EXISTENCE;
D O I：
10.1007/s13540-022-00075-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The purpose of this paper is to investigate the existence of mild solutions and approximate controllability of a class of multi-term time-fractional measure differential equations of hyperbolic type involving nonlocal conditions in Hilbert spaces. The approximate controllability is demonstrated by utilizing fundamental tools, namely: (beta, gamma(k))-resolvent family, measure functional (Henstock-Lebesgue-Stieltjes integral), regulated functions and fixed point techniques. Finally, an example is presented.
引用
收藏
页码：2090 / 2112
页数：23
相关论文
共 50 条
  • [41] EXISTENCE RESULTS FOR MULTI-TERM FRACTIONAL DIFFERENTIAL EQUATIONS WITH NONLOCAL BOUNDARY CONDITIONS INVOLVING ATANGANA-BALEANU DERIVATIVE
    Abbas, Ahsan
    Mehmood, Nayyar
    Akgul, Ali
    Abdeljawad, Thabet
    Alqudah, Manar A.
    FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 2023, 31 (02)
  • [42] Numerical solution of multi-term fractional differential equations
    Katsikadelis, John T.
    ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 2009, 89 (07): : 593 - 608
  • [43] On multi-term proportional fractional differential equations and inclusions
    Shammakh, Wafa
    Alzumi, Hadeel Z.
    Albarqi, Zahra
    ADVANCES IN DIFFERENCE EQUATIONS, 2020, 2020 (01)
  • [44] Approximate solution of the multi-term time fractional diffusion and diffusion-wave equations
    Jalil Rashidinia
    Elham Mohmedi
    Computational and Applied Mathematics, 2020, 39
  • [45] Approximate Controllability of Nonlocal Fractional Integro-Differential Equations with Finite Delay
    Kamaljeet
    Bahuguna, D.
    Shukla, R. K.
    APPLIED ANALYSIS IN BIOLOGICAL AND PHYSICAL SCIENCES, 2016, 186 : 293 - 307
  • [46] Approximate solution of the multi-term time fractional diffusion and diffusion-wave equations
    Rashidinia, Jalil
    Mohmedi, Elham
    COMPUTATIONAL & APPLIED MATHEMATICS, 2020, 39 (03):
  • [47] Finite-approximate controllability of fractional stochastic evolution equations with nonlocal conditions
    Ding, Yonghong
    Li, Yongxiang
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2020, 2020 (01)
  • [48] RELATIVE APPROXIMATE CONTROLLABILITY OF FRACTIONAL STOCHASTIC DELAY EVOLUTION EQUATIONS WITH NONLOCAL CONDITIONS
    Guendouzi, Toufik
    MATEMATICHE, 2014, 69 (01): : 17 - 35
  • [49] Finite-approximate controllability of fractional stochastic evolution equations with nonlocal conditions
    Yonghong Ding
    Yongxiang Li
    Journal of Inequalities and Applications, 2020
  • [50] Approximate solution of multi-term fractional differential equations via a block-by-block method
    Katani, Roghayeh
    Shahmorad, Sedaghat
    Conte, Dajana
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2025, 453
12345