CONTROLLABILITY OF HILFER FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS OF SOBOLEV-TYPE WITH A NONLOCAL CONDITION IN A BANACH SPACE

被引：19
|
作者：
Kumar, Ankit [1 ]
Jeet, Kamal [1 ]
Vats, Ramesh kumar [1 ]
机构：
[1] Natl Inst Technol, Dept Math & Sci Comp, Hamirpur 177005, India
来源：
EVOLUTION EQUATIONS AND CONTROL THEORY | 2022年 / 11卷 / 02期
关键词：
Hilfer fractional derivative; Sadovskii's fixed point theorem; measure of noncompactness; Sobolev-type; Exact controllability; SYSTEMS; EXISTENCE;
D O I：
10.3934/eect.2021016
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper aims to establish sufficient conditions for the exact controllability of the nonlocal Hilfer fractional integro-differential system of Sobolev-type using the theory of propagation family {P(t), t >= 0} generated by the operators A and R. For proving the main result we do not impose any condition on the relation between the domain of the operators A and R. We also do not assume that the operator R has necessarily a bounded inverse. The main tools applied in our analysis are the theory of measure of noncompactness, fractional calculus, and Sadovskii's fixed point theorem. Finally, we provide an example to show the application of our main result.
引用
收藏
页码：605 / 619
页数：15
相关论文
共 50 条
  • [21] SOBOLEV TYPE NEUTRAL INTEGRO-DIFFERENTIAL SYSTEMS INVOLVING (k, ψ) – HILFER FRACTIONAL DERIVATIVE AND NONLOCAL CONDITIONS: TRAJECTORY CONTROLLABILITY
    Kerboua Mourad
    Bouacida Ichrak
    Journal of Mathematical Sciences, 2025, 289 (2) : 343 - 358
  • [22] A discussion concerning the existence results for the Sobolev-type Hilfer fractional delay integro-differential systems
    Kavitha, K.
    Nisar, Kottakkaran Sooppy
    Shukla, Anurag
    Vijayakumar, Velusamy
    Rezapour, Shahram
    ADVANCES IN DIFFERENCE EQUATIONS, 2021, 2021 (01)
  • [23] NONLINEAR NONLOCAL ψ-CAPUTO FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS OF SOBOLEV TYPE
    Liang, Jin
    Mu, Yunyi
    Xiao, Ti-jun
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2024,
  • [24] A discussion concerning the existence results for the Sobolev-type Hilfer fractional delay integro-differential systems
    K. Kavitha
    Kottakkaran Sooppy Nisar
    Anurag Shukla
    Velusamy Vijayakumar
    Shahram Rezapour
    Advances in Difference Equations, 2021
  • [25] Fractional Integro-Differential Equations with Nonlocal Conditions and ψ-Hilfer Fractional Derivative
    Abdo, Mohammed S.
    Panchal, Satish K.
    Hussien, Hussien Shafei
    MATHEMATICAL MODELLING AND ANALYSIS, 2019, 24 (04) : 564 - 584
  • [26] Sobolev-Type Nonlinear (k,ψ)-Hilfer Fractional Differential Equations With Control: Approximate Controllability Exploration
    Mourad, Kerboua
    Ichrak, Bouacida
    Sami, Segni
    JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS, 2024, 19 (11):
  • [27] Approximate Controllability of Finite Delay Fractional Functional Integro-Differential Equations with Nonlocal Condition
    Jeet, Kamal
    Bahuguna, D.
    Shukla, R. K.
    DIFFERENTIAL EQUATIONS AND DYNAMICAL SYSTEMS, 2019, 27 (04) : 423 - 437
  • [28] Study of a sequential ?-Hilfer fractional integro-differential equations with nonlocal BCs
    Haddouchi, Faouzi
    Samei, Mohammad Esmael
    Rezapour, Shahram
    JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS, 2023, 14 (04)
  • [29] Approximate Controllability of Finite Delay Fractional Functional Integro-Differential Equations with Nonlocal Condition
    Kamal Jeet
    D. Bahuguna
    R. K. Shukla
    Differential Equations and Dynamical Systems, 2019, 27 : 423 - 437
  • [30] Controllability of fractional integro-differential evolution equations with nonlocal conditions
    Liang, Jin
    Yang, He
    APPLIED MATHEMATICS AND COMPUTATION, 2015, 254 : 20 - 29
12345