Approximate Controllability for Sobolev-Type Fuzzy Hilfer Fractional Neutral Integro-Differential Inclusion with Clarke Subdifferential Type

被引：0
|
作者：
Hariharan, R. [1 ]
Udhayakumar, R. [1 ]
机构：
[1] Vellore Inst Technol, Sch Adv Sci, Dept Math, Vellore 632 014, Tamil Nadu, India
来源：
QUALITATIVE THEORY OF DYNAMICAL SYSTEMS | 2025年 / 24卷 / 01期
关键词：
Approximate controllability; Fuzzy fractional evolution system; Mild solution; Neutral system; Fixed point theory; DIFFERENTIAL-INCLUSIONS; SOLVABILITY; EXISTENCE; EQUATIONS;
D O I：
10.1007/s12346-024-01214-6
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper focuses on the approximate controllability of Sobolev-type fuzzy Hilfer fractional neutral integro-differential inclusions involving the Clarke subdifferential. We establish the approximate controllability of this inclusion problem using fuzzy set theory, Sobolev-type methods, Fractional calculus, and Clarke subdifferentials. These techniques help to derive the necessary conditions for approximate controllability of the system. Dhage's fixed point theorem is applied to prove the results related to approximate controllability. Finally, an example is provided to illustrate the discussion.
引用
收藏
页数：28
相关论文
共 50 条
  • [1] On controllability for Sobolev-type fuzzy Hilfer fractional integro-differential inclusions with Clarke subdifferential
    Zhang, Chuanlin
    Ye, Guoju
    Liu, Wei
    Liu, Xuelong
    CHAOS SOLITONS & FRACTALS, 2024, 183
  • [2] Results on approximate controllability of Sobolev-type fractional neutral differential inclusions of Clarke subdifferential type
    Kavitha, K.
    Vijayakumar, V.
    Shukla, Anurag
    Nisar, Kottakkaran Sooppy
    Udhayakumar, R.
    CHAOS SOLITONS & FRACTALS, 2021, 151
  • [3] ON THE APPROXIMATE CONTROLLABILITY OF NEUTRAL INTEGRO-DIFFERENTIAL INCLUSIONS OF SOBOLEV-TYPE WITH INFINITE DELAY
    Vijayakumar, V.
    Udhayakumar, R.
    Kavitha, K.
    EVOLUTION EQUATIONS AND CONTROL THEORY, 2021, 10 (02): : 271 - 296
  • [4] Approximate controllability of Sobolev-type fractional functional stochastic integro-differential systems
    Toufik Guendouzi
    Souad Farahi
    Boletín de la Sociedad Matemática Mexicana, 2015, 21 (2) : 289 - 308
  • [5] Approximate controllability of Sobolev-type fractional functional stochastic integro-differential systems
    Guendouzi, Toufik
    Farahi, Souad
    BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA, 2015, 21 (02): : 289 - 308
  • [6] A discussion on approximate controllability of Sobolev-type Hilfer neutral fractional stochastic differential inclusions
    Dineshkumar, C.
    Nisar, Kottakkaran Sooppy
    Udhayakumar, R.
    Vijayakumar, V.
    ASIAN JOURNAL OF CONTROL, 2022, 24 (05) : 2378 - 2394
  • [7] CONTROLLABILITY OF HILFER FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS OF SOBOLEV-TYPE WITH A NONLOCAL CONDITION IN A BANACH SPACE
    Kumar, Ankit
    Jeet, Kamal
    Vats, Ramesh kumar
    EVOLUTION EQUATIONS AND CONTROL THEORY, 2022, 11 (02): : 605 - 619
  • [8] Exact Controllability Results for Sobolev-Type Hilfer Fractional Neutral Delay Volterra-Fredholm Integro-Differential Systems
    Vijayakumar, Velusamy
    Aldosary, Saud Fahad
    Nisar, Kottakkaran Sooppy
    FRACTAL AND FRACTIONAL, 2022, 6 (02)
  • [9] Result on Controllability of Hilfer fractional integro-differential equations of Sobolev-type with Non-instantaneous Impulses
    Kumar, Parveen
    Vats, Ramesh Kumar
    Kumar, Ankit
    FILOMAT, 2023, 37 (29) : 10033 - 10053
  • [10] A new approach on approximate controllability of Sobolev-type Hilfer fractional differential equations
    Pandey, Ritika
    Shukla, Chandan
    Shukla, Anurag
    Upadhyay, Ashwini Kumar
    Singh, Arun Kumar
    INTERNATIONAL JOURNAL OF OPTIMIZATION AND CONTROL-THEORIES & APPLICATIONS-IJOCTA, 2023, 13 (01): : 130 - 138
12345