Exact Controllability Results for Sobolev-Type Hilfer Fractional Neutral Delay Volterra-Fredholm Integro-Differential Systems

被引：8

作者：

Vijayakumar, Velusamy ^{[1
]}

Aldosary, Saud Fahad ^{[2
]}

Nisar, Kottakkaran Sooppy ^{[2
]}

机构：

[1] Vellore Inst Technol, Sch Adv Sci, Dept Math, Vellore 632014, Tamil Nadu, India

[2] Prince Sattam bin Abdulaziz Univ, Dept Math, Coll Arts & Sci, Wadi Aldawaser 11991, Saudi Arabia

来源：

FRACTAL AND FRACTIONAL | 2022年 / 6卷 / 02期

关键词：

controllability; Hilfer fractional system; neutral system; Volterra-Fredholm integro-differential equations; nonlocal conditions; measure of noncompactness; APPROXIMATE CONTROLLABILITY; DIFFERENTIAL-EQUATIONS; EXISTENCE; EVOLUTION; INCLUSIONS; UNIQUENESS;

D O I：

10.3390/fractalfract6020081

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This manuscript mainly focuses on the exact controllability of Sobolev-type Hilfer fractional neutral delay Volterra-Fredholm integro-differential systems. The principal findings of this discussion are established by using the theories on fractional calculus, the measure of noncompactness and Monch fixed point technique. Initially, the exact controllability of the system is presented and then we improve the discussion to the system with nonlocal conditions. Finally, abstract and filter systems are provided for the illustration.

引用

页数：21

共 50 条

[31] An analysis on the optimal control and approximate controllability for Hilfer fractional neutral integro-differential systems with finite delay
Ma, Yong-Ki
Kavitha, K.
Shukla, Anurag
Vijayakumar, V.
Nisar, Kottakkaran Sooppy
OPTIMAL CONTROL APPLICATIONS & METHODS, 2024, 45 (03): : 1086 - 1107
[32] EXISTENCE, UNIQUENESS AND STABILITY RESULTS FOR FRACTIONAL NONLINEAR VOLTERRA-FREDHOLM INTEGRO-DIFFERENTIAL EQUATIONS
Hamoud, A.
Osman, M.
TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS, 2023, 13 (02): : 491 - 506
[33] Existence and computational results to Volterra-Fredholm integro-differential equations involving delay term
Amin, Rohul
Ahmadian, Ali
Alreshidi, Nasser Aedh
Gao, Liping
Salimi, Mehdi
COMPUTATIONAL & APPLIED MATHEMATICS, 2021, 40 (08):
[34] Some New Uniqueness Results of Solutions for Fractional Volterra-Fredholm Integro-Differential Equations
Hamoud, Ahmed A.
Ghadle, Kirtiwant P.
IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS, 2022, 17 (01): : 135 - 144
[35] NEW RESULTS ON CAPUTO FRACTIONAL VOLTERRA-FREDHOLM INTEGRO-DIFFERENTIAL EQUATIONS WITH NONLOCAL CONDITIONS
Sharif, A. A.
Hamoud, A. A.
Hamood, M. M.
Ghadle, K. P.
TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS, 2025, 15 (02): : 459 - 472
[36] Existence, Uniqueness, and Stability Results of Fractional Volterra-Fredholm Integro-Differential Equations with State-Dependent Delay
Gunasekar, Tharmalingam
Raghavendran, Prabakaran
Nisar, Kottakkaran Sooppy
QUALITATIVE THEORY OF DYNAMICAL SYSTEMS, 2025, 24 (02)
[37] A Numerical Method for Investigating Fractional Volterra-Fredholm Integro-Differential Model
Syam, Muhammed I.
Sharadga, Mwaffag
Hashim, Ishak
EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2024, 17 (03): : 1429 - 1448
[38] A Study on the Existence, Uniqueness, and Stability of Fractional Neutral Volterra-Fredholm Integro-Differential Equations with State-Dependent Delay
Raghavendran, Prabakaran
Gunasekar, Tharmalingam
Ahmad, Junaid
Emam, Walid
FRACTAL AND FRACTIONAL, 2025, 9 (01)
[39] On analysis of the fuzzy fractional order Volterra-Fredholm integro-differential equation
Ahmad, Naveed
Abd Ullah
Ullah, Aman
Ahmad, Shabir
Shah, Kamal
Ahmad, Imtiaz
ALEXANDRIA ENGINEERING JOURNAL, 2021, 60 (01) : 1827 - 1838
[40] Application of artificial neural networks for existence and controllability in impulsive fractional Volterra-Fredholm integro-differential equations
Raghavendran, Prabakaran
Gunasekar, Tharmalingam
Gochhait, Saikat
APPLIED MATHEMATICS IN SCIENCE AND ENGINEERING, 2024, 32 (01):

← 1 2 3 4 5 →