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Vijayakumar, Velusamy

Author ID: vijayakumar.velusamy Recent zbMATH articles by "Vijayakumar, Velusamy"
Published as: Vijayakumar, V.; Vijayakumar, Velusamy
Homepage: http://www.researchgate.net/profile/VIJAYAKUMAR_VELUSAMY/
Documents Indexed: 102 Publications since 2011
Co-Authors: 52 Co-Authors with 86 Joint Publications
2,266 Co-Co-Authors
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Serials

13 Chaos, Solitons and Fractals
10 Qualitative Theory of Dynamical Systems
9 Numerical Methods for Partial Differential Equations
8 Mathematical Methods in the Applied Sciences
6 Advances in Difference Equations
4 International Journal of Nonlinear Sciences and Numerical Simulation
4 Nonlinear Analysis. Modelling and Control
3 International Journal of Control
3 Numerical Functional Analysis and Optimization
3 Results in Mathematics
3 Optimal Control Applications & Methods
3 IMA Journal of Mathematical Control and Information
3 Nonlinear Studies
3 Communications in Nonlinear Science and Numerical Simulation
2 Applied Mathematics and Computation
2 Bulletin des Sciences Mathématiques
2 Mediterranean Journal of Mathematics
2 Surveys in Mathematics and its Applications
2 Journal of the Korean Society for Industrial and Applied Mathematics
2 Evolution Equations and Control Theory
1 Applicable Analysis
1 Journal of Computational and Applied Mathematics
1 Mathematics and Computers in Simulation
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Computational and Applied Mathematics
1 Turkish Journal of Mathematics
1 Journal of Inequalities and Applications
1 Fractional Calculus & Applied Analysis
1 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis
1 Dynamics of Continuous, Discrete & Impulsive Systems. Series B. Applications & Algorithms
1 Stochastics and Dynamics
1 Fixed Point Theory
1 Boundary Value Problems
1 Communications in Mathematical Analysis
1 Journal of Nonlinear Science and Applications

Publications by Year

Citations contained in zbMATH Open

74 Publications have been cited 1,080 times in 350 Documents Cited by Year
Controllability for fractional evolution inclusions without compactness. Zbl 1335.34096
Zhou, Yong; Vijayakumar, V.; Murugesu, R.
86
2015
Results on controllability of Hilfer fractional neutral differential equations with infinite delay via measures of noncompactness. Zbl 1490.34091
Kavitha, K.; Vijayakumar, V.; Udhayakumar, R.
48
2020
Approximate controllability of second-order evolution differential inclusions in Hilbert spaces. Zbl 1362.34097
Mahmudov, N. I.; Vijayakumar, V.; Murugesu, R.
48
2016
A note on the approximate controllability of Sobolev type fractional stochastic integro-differential delay inclusions with order \(1 < r < 2\). Zbl 07431556
Dineshkumar, C.; Udhayakumar, R.; Vijayakumar, V.; Sooppy Nisar, Kottakkaran; Shukla, Anurag
44
2021
A new approach on the approximate controllability of fractional differential evolution equations of order \(1<r<2\) in Hilbert spaces. Zbl 1496.34021
Raja, M. Mohan; Vijayakumar, V.; Udhayakumar, R.; Zhou, Yong
43
2020
A discussion on the approximate controllability of Hilfer fractional neutral stochastic integro-differential systems. Zbl 1496.34111
Dineshkumar, C.; Udhayakumar, R.; Vijayakumar, V.; Nisar, Kottakkaran Sooppy
43
2021
Results on approximate controllability for non-densely defined Hilfer fractional differential system with infinite delay. Zbl 1490.93018
Vijayakumar, V.; Udhayakumar, R.
41
2020
Results on the existence and controllability of fractional integro-differential system of order \(1<r<2\) via measure of noncompactness. Zbl 1490.34093
Raja, M. Mohan; Vijayakumar, V.; Udhayakumar, R.
39
2020
A new approach on approximate controllability of fractional evolution inclusions of order \(1<r<2\) with infinite delay. Zbl 1496.34120
Raja, M. Mohan; Vijayakumar, V.; Udhayakumar, R.
37
2020
Approximate controllability results for impulsive neutral differential inclusions of Sobolev-type with infinite delay. Zbl 1403.93046
Vijayakumar, V.
35
2018
Results on the existence of Hilfer fractional neutral evolution equations with infinite delay via measures of noncompactness. Zbl 1512.34148
Kavitha, K.; Vijayakumar, V.; Udhayakumar, R.; Nisar, Kottakkaran Sooppy
35
2021
Results on approximate controllability of Sobolev-type fractional neutral differential inclusions of Clarke subdifferential type. Zbl 1498.34166
Kavitha, K.; Vijayakumar, V.; Shukla, Anurag; Nisar, Kottakkaran Sooppy; Udhayakumar, R.
34
2021
Controllability for a class of second-order evolution differential inclusions without compactness. Zbl 1414.93038
Vijayakumar, V.; Murugesu, R.
33
2019
Approximate controllability results for analytic resolvent integro-differential inclusions in Hilbert spaces. Zbl 1393.34077
Vijayakumar, V.
33
2018
Controllability results for fractional order neutral functional differential inclusions with infinite delay. Zbl 1383.34098
Zhou, Yong; Vijayakumar, V.; Ravichandran, C.; Murugesu, R.
32
2017
Controllability results for a class of fractional semilinear integro-differential inclusions via resolvent operators. Zbl 1338.93083
Vijayakumar, V.; Ravichandran, C.; Murugesu, R.; Trujillo, J. J.
31
2014
Results concerning to approximate controllability of non-densely defined Sobolev-type Hilfer fractional neutral delay differential system. Zbl 1482.93082
Nisar, Kottakkaran Sooppy; Vijayakumar, V.
30
2021
Controllability for a class of fractional neutral integro-differential equations with unbounded delay. Zbl 1410.93025
Vijayakumar, V.; Selvakumar, A.; Murugesu, R.
30
2014
Approximate controllability of second order nonlocal neutral differential evolution inclusions. Zbl 1475.93017
Vijayakumar, V.; Udhayakumar, R.; Dineshkumar, C.
29
2021
Existence of global solutions for second order impulsive abstract partial differential equations. Zbl 1237.34136
Sivasankaran, S.; Arjunan, M. Mallika; Vijayakumar, V.
29
2011
Approximate controllability results for fractional semilinear integro-differential inclusions in Hilbert spaces. Zbl 1358.34085
Mahmudov, N. I.; Murugesu, R.; Ravichandran, C.; Vijayakumar, V.
29
2017
Controllability of second-order impulsive nonlocal Cauchy problem via measure of noncompactness. Zbl 1360.93108
Vijayakumar, V.; Murugesu, R.; Poongodi, R.; Dhanalakshmi, S.
29
2017
Approximate controllability results for abstract neutral integro-differential inclusions with infinite delay in Hilbert spaces. Zbl 1402.93056
Vijayakumar, V.
28
2018
A note on approximate controllability of the Hilfer fractional neutral differential inclusions with infinite delay. Zbl 1471.34148
Kavitha, K.; Vijayakumar, V.; Udhayakumar, R.; Sakthivel, N.; Nisar, Kottakkaran Sooppy
28
2021
Approximate controllability for a class of second-order stochastic evolution inclusions of Clarke’s subdifferential type. Zbl 1383.93016
Vijayakumar, V.
27
2018
Approximate controllability results for non-densely defined fractional neutral differential inclusions with Hille-Yosida operators. Zbl 1421.93023
Vijayakumar, V.
27
2019
Asymptotic stability of fractional order (1,2] stochastic delay differential equations in Banach spaces. Zbl 1498.34222
Singh, Ajeet; Shukla, Anurag; Vijayakumar, V.; Udhayakumar, R.
22
2021
Nonlocal controllability of mixed Volterra-Fredholm type fractional semilinear integro-differential inclusions in Banach spaces. Zbl 1278.34089
Vijayakumar, V.; Ravichandran, C.; Murugesu, R.
22
2013
Approximate controllability for a class of fractional neutral integro-differential inclusions with state-dependent delay. Zbl 1301.34100
Vijayakumar, Velusamy; Ravichandran, C.; Murugesu, R.
21
2013
Existence of mild solutions for nonlocal Cauchy problem for fractional neutral integro-differential equation with unbounded delay. Zbl 1283.34071
Carvalho dos Santos, José Paulo; Vijayakumar, V.; Murugesu, R.
19
2013
Results on the approximate controllability of fractional hemivariational inequalities of order \(1< r<2\). Zbl 1494.34046
Mohan Raja, M.; Vijayakumar, V.; Huynh, Le Nhat; Udhayakumar, R.; Nisar, Kottakkaran Sooppy
19
2021
On the approximate controllability of neutral integro-differential inclusions of Sobolev-type with infinite delay. Zbl 1476.93084
Vijayakumar, V.; Udhayakumar, R.; Kavitha, K.
17
2021
A note on approximate controllability for nonlocal fractional evolution stochastic integrodifferential inclusions of order \(r\in(1,2)\) with delay. Zbl 1498.34210
Dineshkumar, C.; Udhayakumar, R.; Vijayakumar, V.; Shukla, Anurag; Nisar, Kottakkaran Sooppy
17
2021
A new study on existence and uniqueness of nonlocal fractional delay differential systems of order \(1 < r < 2\) in Banach spaces. Zbl 07775996
Kavitha Williams, W.; Vijayakumar, V.; Udhayakumar, R.; Nisar, Kottakkaran Sooppy
16
2021
New discussion on nonlocal controllability for fractional evolution system of order \(1 < r < 2\). Zbl 1494.34045
Mohan Raja, M.; Vijayakumar, Velusamy; Shukla, Anurag; Nisar, Kottakkaran Sooppy; Rezapour, Shahram
15
2021
A new exploration on the existence and approximate controllability for fractional semilinear impulsive control systems of order \(r\in(1,2)\). Zbl 1498.34044
Shukla, Anurag; Vijayakumar, V.; Nisar, Kottakkaran Sooppy
15
2022
A note concerning to approximate controllability of Atangana-Baleanu fractional neutral stochastic systems with infinite delay. Zbl 1498.34168
Dineshkumar, C.; Udhayakumar, R.; Vijayakumar, V.; Nisar, Kottakkaran Sooppy; Shukla, Anurag
14
2022
On the approximate controllability results for fractional integrodifferential systems of order \(1 < r < 2\) with sectorial operators. Zbl 1492.93024
Mohan Raja, M.; Vijayakumar, V.; Shukla, Anurag; Nisar, Kottakkaran Sooppy; Baskonus, Haci Mehmet
13
2022
On the approximate controllability of second-order evolution hemivariational inequalities. Zbl 1453.93023
Mahmudov, N. I.; Udhayakumar, R.; Vijayakumar, V.
13
2020
Results on approximate controllability results for second-order Sobolev-type impulsive neutral differential evolution inclusions with infinite delay. Zbl 07776009
Vijayakumar, V.; Panda, Sumati Kumari; Nisar, Kottakkaran Sooppy; Baskonus, Haci Mehmet
13
2021
Optimal control and approximate controllability for fractional integrodifferential evolution equations with infinite delay of order \(r \in (1, 2)\). Zbl 07754117
Mohan Raja, Marimuthu; Vijayakumar, Velusamy; Shukla, Anurag; Sooppy Nisar, Kottakkaran; Sakthivel, Natarajan; Kaliraj, Kalimuthu
12
2022
An existence result for an infinite system of implicit fractional integral equations via generalized Darbo’s fixed point theorem. Zbl 1476.45003
Das, Anupam; Hazarika, Bipan; Panda, Sumati Kumari; Vijayakumar, V.
11
2021
New discussion regarding approximate controllability for Sobolev-type fractional stochastic hemivariational inequalities of order \(r\in(1,2)\). Zbl 1512.93020
Dineshkumar, C.; Udhayakumar, R.; Vijayakumar, V.; Shukla, Anurag; Nisar, Kottakkaran Sooppy
11
2023
A new exploration on existence of Sobolev-type Hilfer fractional neutral integro-differential equations with infinite delay. Zbl 07777720
Vijayakumar, V.; Udhayakumar, R.
11
2021
Existence and controllability of nonlocal mixed Volterra-Fredholm type fractional delay integro-differential equations of order \(1 < r < 2\). Zbl 07798400
Kavitha Williams, W.; Vijayakumar, V.; Udhayakumar, R.; Panda, Sumati Kumari; Nisar, Kottakkaran Sooppy
11
2024
A discussion concerning the existence results for the Sobolev-type Hilfer fractional delay integro-differential systems. Zbl 1494.34167
Kavitha, K.; Nisar, Kottakkaran Sooppy; Shukla, Anurag; Vijayakumar, Velusamy; Rezapour, Shahram
10
2021
Controllability for a class of second order functional evolution differential equations without uniqueness. Zbl 1417.93079
Vijayakumar, V.; Murugesu, R.; Tamil Selvan, M.
10
2019
Existence of global solutions for a class of abstract second-order nonlocal Cauchy problem with impulsive conditions in Banach spaces. Zbl 1392.34071
Vijayakumar, V.; Henríquez, Hernán R.
9
2018
A discussion concerning to partial-approximate controllability of Hilfer fractional system with nonlocal conditions via approximating method. Zbl 1498.34170
Kavitha, K.; Vijayakumar, V.
9
2022
Existence of global solutions for second order impulsive abstract functional integrodifferential equations. Zbl 1268.34144
Vijayakumar, V.; Sivasankaran, S.; Arjunan, M. Mallika
9
2011
Existence results for Caputo fractional mixed Volterra-Fredholm-type integrodifferential inclusions of order \(r\in (1,2)\) with sectorial operators. Zbl 1505.34096
Mohan Raja, M.; Vijayakumar, V.
8
2022
Existence of mild solutions for nonlocal Cauchy problem for fractional neutral evolution equations with infinite delay. Zbl 1399.34235
Vijayakumar, V.; Ravichandran, C.; Murugesu, R.
8
2014
Existence of solutions for second-order impulsive neutral functional integro-differential equations with infinite delay. Zbl 1300.34172
Vijayakumar, V.; Sivasankaran, S.; Arjunan, M. Mallika
8
2012
Optimal control results for Sobolev-type fractional mixed Volterra-Fredholm type integro-differential equations of order \(1 < R < 2\) with sectorial operators. Zbl 07754135
Mohan Raja, Marimuthu; Vijayakumar, Velusamy
7
2022
Existence of global solutions for impulsive functional differential equations with nonlocal conditions. Zbl 1227.34078
Sivasankaran, S.; Arjunan, M. Mallika; Vijayakumar, V.
7
2011
Optimal control results for Sobolev-type fractional stochastic Volterra-Fredholm integrodifferential systems of order \(\vartheta \in (1, 2)\) via sectorial operators. Zbl 1521.49005
Johnson, M.; Vijayakumar, V.
4
2023
On the weighted fractional integral inequalities for Chebyshev functionals. Zbl 1485.26048
Rahman, Gauhar; Nisar, Kottakkaran Sooppy; Khan, Sami Ullah; Baleanu, Dumitru; Vijayakumar, V.
4
2021
New discussion concerning to optimal control for semilinear population dynamics system in Hilbert spaces. Zbl 1492.49046
Patel, Rohit; Shukla, Anurag; Nieto, Juan J.; Vijayakumar, Velusamy; Jadon, Shimpi Singh
4
2022
Global existence for Volterra-Fredholm type neutral impulsive functional integrodifferential equations. Zbl 1399.45015
Vijayakumar, V.; Sivasankaran, S.; Arjunan, M. Mallika
4
2012
Approximate controllability results for Sobolev-type delay differential system of fractional order without uniqueness. Zbl 07777364
Vijayakumar, V.; Udhayakumar, R.; Zhou, Yong; Sakthivel, N.
4
2023
Optimal control results for impulsive fractional delay integrodifferential equations of order \(1 < r < 2\) via sectorial operator. Zbl 1519.45002
Johnson, Murugesan; Raja, Marimuthu Mohan; Vijayakumar, Velusamy; Shukla, Anurag; Nisar, Kottakkaran Sooppy; Jahanshahi, Hadi
3
2023
A note on the existence and controllability results for fractional integrodifferential inclusions of order \(r\in(1, 2]\) with impulses. Zbl 1508.34102
Raja, M. Mohan; Shukla, Anurag; Nieto, Juan J.; Vijayakumar, V.; Sooppy Nisar, Kottakkaran
3
2022
An analysis regarding to approximate controllability for Hilfer fractional neutral evolution hemivariational inequality. Zbl 1505.34014
Kavitha, K.; Vijayakumar, V.
3
2022
Results on existence and controllability results for fractional evolution inclusions of order \(1 < r < 2\) with Clarke’s subdifferential type. Zbl 07798396
Mohan Raja, M.; Vijayakumar, V.; Udhayakumar, R.; Nisar, Kottakkaran Sooppy
3
2024
Discussion on the approximate controllability of nonlocal fractional derivative by Mittag-Leffler kernel to stochastic differential systems. Zbl 1508.93032
Dineshkumar, C.; Udhayakumar, R.; Vijayakumar, V.; Shukla, Anurag; Sooppy Nisar, Kottakkaran
2
2023
Results on exact controllability of second-order semilinear control system in Hilbert spaces. Zbl 1494.93012
Arora, Urvashi; Vijayakumar, V.; Shukla, Anurag; Nisar, Kottakkaran Sooppy; Rezapour, Shahram; Jamshed, Wasim
2
2021
Existence of global solutions for second order impulsive differential equations with nonlocal conditions. Zbl 1297.34089
Vijayakumar, V.; Alagiri Prakash, K. Alagiri; Murugesu, R.
2
2013
Results on approximate controllability of neutral integro-differential stochastic system with state-dependent delay. Zbl 07798401
Dineshkumar, C.; Udhayakumar, R.; Vijayakumar, V.; Nisar, Kottakkaran Sooppy
2
2024
Analysis of neutral fractional differential equation via the method of upper and lower solution. Zbl 1518.34082
Dhawan, Kanika; Vats, Ramesh Kumar; Vijayakumar, V.
1
2023
Controllability discussion for fractional stochastic Volterra-Fredholm integro-differential systems of order \(1<r<2\). Zbl 07748415
Dineshkumar, Chendrayan; Vijayakumar, Velusamy; Udhayakumar, Ramalingam; Shukla, Anurag; Nisar, Kottakkaran Sooppy
1
2023
An analysis concerning approximate controllability results for second-order Sobolev-type delay differential systems with impulses. Zbl 1506.93011
Nisar, Kottakkaran Sooppy; Vijayakumar, Velusamy
1
2022
A note on the approximate controllability of second-order integro-differential evolution control systems via resolvent operators. Zbl 1494.34168
Vijayakumar, Velusamy; Shukla, Anurag; Nisar, Kottakkaran Sooppy; Jamshed, Wasim; Rezapour, Shahram
1
2021
Investigating existence results for fractional evolution inclusions with order \(r \in (1, 2)\) in Banach space. Zbl 07773889
Mohan Raja, Marimuthu; Vijayakumar, Velusamy; Shukla, Anurag; Nisar, Kottakkaran Sooppy; Rezapour, Shahram
1
2023
New results concerning to approximate controllability of fractional integro-differential evolution equations of order \(1 < r < 2\). Zbl 07777099
Mohan Raja, M.; Vijayakumar, V.
1
2022
Existence and controllability of nonlocal mixed Volterra-Fredholm type fractional delay integro-differential equations of order \(1 < r < 2\). Zbl 07798400
Kavitha Williams, W.; Vijayakumar, V.; Udhayakumar, R.; Panda, Sumati Kumari; Nisar, Kottakkaran Sooppy
11
2024
Results on existence and controllability results for fractional evolution inclusions of order \(1 < r < 2\) with Clarke’s subdifferential type. Zbl 07798396
Mohan Raja, M.; Vijayakumar, V.; Udhayakumar, R.; Nisar, Kottakkaran Sooppy
3
2024
Results on approximate controllability of neutral integro-differential stochastic system with state-dependent delay. Zbl 07798401
Dineshkumar, C.; Udhayakumar, R.; Vijayakumar, V.; Nisar, Kottakkaran Sooppy
2
2024
New discussion regarding approximate controllability for Sobolev-type fractional stochastic hemivariational inequalities of order \(r\in(1,2)\). Zbl 1512.93020
Dineshkumar, C.; Udhayakumar, R.; Vijayakumar, V.; Shukla, Anurag; Nisar, Kottakkaran Sooppy
11
2023
Optimal control results for Sobolev-type fractional stochastic Volterra-Fredholm integrodifferential systems of order \(\vartheta \in (1, 2)\) via sectorial operators. Zbl 1521.49005
Johnson, M.; Vijayakumar, V.
4
2023
Approximate controllability results for Sobolev-type delay differential system of fractional order without uniqueness. Zbl 07777364
Vijayakumar, V.; Udhayakumar, R.; Zhou, Yong; Sakthivel, N.
4
2023
Optimal control results for impulsive fractional delay integrodifferential equations of order \(1 < r < 2\) via sectorial operator. Zbl 1519.45002
Johnson, Murugesan; Raja, Marimuthu Mohan; Vijayakumar, Velusamy; Shukla, Anurag; Nisar, Kottakkaran Sooppy; Jahanshahi, Hadi
3
2023
Discussion on the approximate controllability of nonlocal fractional derivative by Mittag-Leffler kernel to stochastic differential systems. Zbl 1508.93032
Dineshkumar, C.; Udhayakumar, R.; Vijayakumar, V.; Shukla, Anurag; Sooppy Nisar, Kottakkaran
2
2023
Analysis of neutral fractional differential equation via the method of upper and lower solution. Zbl 1518.34082
Dhawan, Kanika; Vats, Ramesh Kumar; Vijayakumar, V.
1
2023
Controllability discussion for fractional stochastic Volterra-Fredholm integro-differential systems of order \(1<r<2\). Zbl 07748415
Dineshkumar, Chendrayan; Vijayakumar, Velusamy; Udhayakumar, Ramalingam; Shukla, Anurag; Nisar, Kottakkaran Sooppy
1
2023
Investigating existence results for fractional evolution inclusions with order \(r \in (1, 2)\) in Banach space. Zbl 07773889
Mohan Raja, Marimuthu; Vijayakumar, Velusamy; Shukla, Anurag; Nisar, Kottakkaran Sooppy; Rezapour, Shahram
1
2023
A new exploration on the existence and approximate controllability for fractional semilinear impulsive control systems of order \(r\in(1,2)\). Zbl 1498.34044
Shukla, Anurag; Vijayakumar, V.; Nisar, Kottakkaran Sooppy
15
2022
A note concerning to approximate controllability of Atangana-Baleanu fractional neutral stochastic systems with infinite delay. Zbl 1498.34168
Dineshkumar, C.; Udhayakumar, R.; Vijayakumar, V.; Nisar, Kottakkaran Sooppy; Shukla, Anurag
14
2022
On the approximate controllability results for fractional integrodifferential systems of order \(1 < r < 2\) with sectorial operators. Zbl 1492.93024
Mohan Raja, M.; Vijayakumar, V.; Shukla, Anurag; Nisar, Kottakkaran Sooppy; Baskonus, Haci Mehmet
13
2022
Optimal control and approximate controllability for fractional integrodifferential evolution equations with infinite delay of order \(r \in (1, 2)\). Zbl 07754117
Mohan Raja, Marimuthu; Vijayakumar, Velusamy; Shukla, Anurag; Sooppy Nisar, Kottakkaran; Sakthivel, Natarajan; Kaliraj, Kalimuthu
12
2022
A discussion concerning to partial-approximate controllability of Hilfer fractional system with nonlocal conditions via approximating method. Zbl 1498.34170
Kavitha, K.; Vijayakumar, V.
9
2022
Existence results for Caputo fractional mixed Volterra-Fredholm-type integrodifferential inclusions of order \(r\in (1,2)\) with sectorial operators. Zbl 1505.34096
Mohan Raja, M.; Vijayakumar, V.
8
2022
Optimal control results for Sobolev-type fractional mixed Volterra-Fredholm type integro-differential equations of order \(1 < R < 2\) with sectorial operators. Zbl 07754135
Mohan Raja, Marimuthu; Vijayakumar, Velusamy
7
2022
New discussion concerning to optimal control for semilinear population dynamics system in Hilbert spaces. Zbl 1492.49046
Patel, Rohit; Shukla, Anurag; Nieto, Juan J.; Vijayakumar, Velusamy; Jadon, Shimpi Singh
4
2022
A note on the existence and controllability results for fractional integrodifferential inclusions of order \(r\in(1, 2]\) with impulses. Zbl 1508.34102
Raja, M. Mohan; Shukla, Anurag; Nieto, Juan J.; Vijayakumar, V.; Sooppy Nisar, Kottakkaran
3
2022
An analysis regarding to approximate controllability for Hilfer fractional neutral evolution hemivariational inequality. Zbl 1505.34014
Kavitha, K.; Vijayakumar, V.
3
2022
An analysis concerning approximate controllability results for second-order Sobolev-type delay differential systems with impulses. Zbl 1506.93011
Nisar, Kottakkaran Sooppy; Vijayakumar, Velusamy
1
2022
New results concerning to approximate controllability of fractional integro-differential evolution equations of order \(1 < r < 2\). Zbl 07777099
Mohan Raja, M.; Vijayakumar, V.
1
2022
A note on the approximate controllability of Sobolev type fractional stochastic integro-differential delay inclusions with order \(1 < r < 2\). Zbl 07431556
Dineshkumar, C.; Udhayakumar, R.; Vijayakumar, V.; Sooppy Nisar, Kottakkaran; Shukla, Anurag
44
2021
A discussion on the approximate controllability of Hilfer fractional neutral stochastic integro-differential systems. Zbl 1496.34111
Dineshkumar, C.; Udhayakumar, R.; Vijayakumar, V.; Nisar, Kottakkaran Sooppy
43
2021
Results on the existence of Hilfer fractional neutral evolution equations with infinite delay via measures of noncompactness. Zbl 1512.34148
Kavitha, K.; Vijayakumar, V.; Udhayakumar, R.; Nisar, Kottakkaran Sooppy
35
2021
Results on approximate controllability of Sobolev-type fractional neutral differential inclusions of Clarke subdifferential type. Zbl 1498.34166
Kavitha, K.; Vijayakumar, V.; Shukla, Anurag; Nisar, Kottakkaran Sooppy; Udhayakumar, R.
34
2021
Results concerning to approximate controllability of non-densely defined Sobolev-type Hilfer fractional neutral delay differential system. Zbl 1482.93082
Nisar, Kottakkaran Sooppy; Vijayakumar, V.
30
2021
Approximate controllability of second order nonlocal neutral differential evolution inclusions. Zbl 1475.93017
Vijayakumar, V.; Udhayakumar, R.; Dineshkumar, C.
29
2021
A note on approximate controllability of the Hilfer fractional neutral differential inclusions with infinite delay. Zbl 1471.34148
Kavitha, K.; Vijayakumar, V.; Udhayakumar, R.; Sakthivel, N.; Nisar, Kottakkaran Sooppy
28
2021
Asymptotic stability of fractional order (1,2] stochastic delay differential equations in Banach spaces. Zbl 1498.34222
Singh, Ajeet; Shukla, Anurag; Vijayakumar, V.; Udhayakumar, R.
22
2021
Results on the approximate controllability of fractional hemivariational inequalities of order \(1< r<2\). Zbl 1494.34046
Mohan Raja, M.; Vijayakumar, V.; Huynh, Le Nhat; Udhayakumar, R.; Nisar, Kottakkaran Sooppy
19
2021
On the approximate controllability of neutral integro-differential inclusions of Sobolev-type with infinite delay. Zbl 1476.93084
Vijayakumar, V.; Udhayakumar, R.; Kavitha, K.
17
2021
A note on approximate controllability for nonlocal fractional evolution stochastic integrodifferential inclusions of order \(r\in(1,2)\) with delay. Zbl 1498.34210
Dineshkumar, C.; Udhayakumar, R.; Vijayakumar, V.; Shukla, Anurag; Nisar, Kottakkaran Sooppy
17
2021
A new study on existence and uniqueness of nonlocal fractional delay differential systems of order \(1 < r < 2\) in Banach spaces. Zbl 07775996
Kavitha Williams, W.; Vijayakumar, V.; Udhayakumar, R.; Nisar, Kottakkaran Sooppy
16
2021
New discussion on nonlocal controllability for fractional evolution system of order \(1 < r < 2\). Zbl 1494.34045
Mohan Raja, M.; Vijayakumar, Velusamy; Shukla, Anurag; Nisar, Kottakkaran Sooppy; Rezapour, Shahram
15
2021
Results on approximate controllability results for second-order Sobolev-type impulsive neutral differential evolution inclusions with infinite delay. Zbl 07776009
Vijayakumar, V.; Panda, Sumati Kumari; Nisar, Kottakkaran Sooppy; Baskonus, Haci Mehmet
13
2021
An existence result for an infinite system of implicit fractional integral equations via generalized Darbo’s fixed point theorem. Zbl 1476.45003
Das, Anupam; Hazarika, Bipan; Panda, Sumati Kumari; Vijayakumar, V.
11
2021
A new exploration on existence of Sobolev-type Hilfer fractional neutral integro-differential equations with infinite delay. Zbl 07777720
Vijayakumar, V.; Udhayakumar, R.
11
2021
A discussion concerning the existence results for the Sobolev-type Hilfer fractional delay integro-differential systems. Zbl 1494.34167
Kavitha, K.; Nisar, Kottakkaran Sooppy; Shukla, Anurag; Vijayakumar, Velusamy; Rezapour, Shahram
10
2021
On the weighted fractional integral inequalities for Chebyshev functionals. Zbl 1485.26048
Rahman, Gauhar; Nisar, Kottakkaran Sooppy; Khan, Sami Ullah; Baleanu, Dumitru; Vijayakumar, V.
4
2021
Results on exact controllability of second-order semilinear control system in Hilbert spaces. Zbl 1494.93012
Arora, Urvashi; Vijayakumar, V.; Shukla, Anurag; Nisar, Kottakkaran Sooppy; Rezapour, Shahram; Jamshed, Wasim
2
2021
A note on the approximate controllability of second-order integro-differential evolution control systems via resolvent operators. Zbl 1494.34168
Vijayakumar, Velusamy; Shukla, Anurag; Nisar, Kottakkaran Sooppy; Jamshed, Wasim; Rezapour, Shahram
1
2021
Results on controllability of Hilfer fractional neutral differential equations with infinite delay via measures of noncompactness. Zbl 1490.34091
Kavitha, K.; Vijayakumar, V.; Udhayakumar, R.
48
2020
A new approach on the approximate controllability of fractional differential evolution equations of order \(1<r<2\) in Hilbert spaces. Zbl 1496.34021
Raja, M. Mohan; Vijayakumar, V.; Udhayakumar, R.; Zhou, Yong
43
2020
Results on approximate controllability for non-densely defined Hilfer fractional differential system with infinite delay. Zbl 1490.93018
Vijayakumar, V.; Udhayakumar, R.
41
2020
Results on the existence and controllability of fractional integro-differential system of order \(1<r<2\) via measure of noncompactness. Zbl 1490.34093
Raja, M. Mohan; Vijayakumar, V.; Udhayakumar, R.
39
2020
A new approach on approximate controllability of fractional evolution inclusions of order \(1<r<2\) with infinite delay. Zbl 1496.34120
Raja, M. Mohan; Vijayakumar, V.; Udhayakumar, R.
37
2020
On the approximate controllability of second-order evolution hemivariational inequalities. Zbl 1453.93023
Mahmudov, N. I.; Udhayakumar, R.; Vijayakumar, V.
13
2020
Controllability for a class of second-order evolution differential inclusions without compactness. Zbl 1414.93038
Vijayakumar, V.; Murugesu, R.
33
2019
Approximate controllability results for non-densely defined fractional neutral differential inclusions with Hille-Yosida operators. Zbl 1421.93023
Vijayakumar, V.
27
2019
Controllability for a class of second order functional evolution differential equations without uniqueness. Zbl 1417.93079
Vijayakumar, V.; Murugesu, R.; Tamil Selvan, M.
10
2019
Approximate controllability results for impulsive neutral differential inclusions of Sobolev-type with infinite delay. Zbl 1403.93046
Vijayakumar, V.
35
2018
Approximate controllability results for analytic resolvent integro-differential inclusions in Hilbert spaces. Zbl 1393.34077
Vijayakumar, V.
33
2018
Approximate controllability results for abstract neutral integro-differential inclusions with infinite delay in Hilbert spaces. Zbl 1402.93056
Vijayakumar, V.
28
2018
Approximate controllability for a class of second-order stochastic evolution inclusions of Clarke’s subdifferential type. Zbl 1383.93016
Vijayakumar, V.
27
2018
Existence of global solutions for a class of abstract second-order nonlocal Cauchy problem with impulsive conditions in Banach spaces. Zbl 1392.34071
Vijayakumar, V.; Henríquez, Hernán R.
9
2018
Controllability results for fractional order neutral functional differential inclusions with infinite delay. Zbl 1383.34098
Zhou, Yong; Vijayakumar, V.; Ravichandran, C.; Murugesu, R.
32
2017
Approximate controllability results for fractional semilinear integro-differential inclusions in Hilbert spaces. Zbl 1358.34085
Mahmudov, N. I.; Murugesu, R.; Ravichandran, C.; Vijayakumar, V.
29
2017
Controllability of second-order impulsive nonlocal Cauchy problem via measure of noncompactness. Zbl 1360.93108
Vijayakumar, V.; Murugesu, R.; Poongodi, R.; Dhanalakshmi, S.
29
2017
Approximate controllability of second-order evolution differential inclusions in Hilbert spaces. Zbl 1362.34097
Mahmudov, N. I.; Vijayakumar, V.; Murugesu, R.
48
2016
Controllability for fractional evolution inclusions without compactness. Zbl 1335.34096
Zhou, Yong; Vijayakumar, V.; Murugesu, R.
86
2015
Controllability results for a class of fractional semilinear integro-differential inclusions via resolvent operators. Zbl 1338.93083
Vijayakumar, V.; Ravichandran, C.; Murugesu, R.; Trujillo, J. J.
31
2014
Controllability for a class of fractional neutral integro-differential equations with unbounded delay. Zbl 1410.93025
Vijayakumar, V.; Selvakumar, A.; Murugesu, R.
30
2014
Existence of mild solutions for nonlocal Cauchy problem for fractional neutral evolution equations with infinite delay. Zbl 1399.34235
Vijayakumar, V.; Ravichandran, C.; Murugesu, R.
8
2014
Nonlocal controllability of mixed Volterra-Fredholm type fractional semilinear integro-differential inclusions in Banach spaces. Zbl 1278.34089
Vijayakumar, V.; Ravichandran, C.; Murugesu, R.
22
2013
Approximate controllability for a class of fractional neutral integro-differential inclusions with state-dependent delay. Zbl 1301.34100
Vijayakumar, Velusamy; Ravichandran, C.; Murugesu, R.
21
2013
Existence of mild solutions for nonlocal Cauchy problem for fractional neutral integro-differential equation with unbounded delay. Zbl 1283.34071
Carvalho dos Santos, José Paulo; Vijayakumar, V.; Murugesu, R.
19
2013
Existence of global solutions for second order impulsive differential equations with nonlocal conditions. Zbl 1297.34089
Vijayakumar, V.; Alagiri Prakash, K. Alagiri; Murugesu, R.
2
2013
Existence of solutions for second-order impulsive neutral functional integro-differential equations with infinite delay. Zbl 1300.34172
Vijayakumar, V.; Sivasankaran, S.; Arjunan, M. Mallika
8
2012
Global existence for Volterra-Fredholm type neutral impulsive functional integrodifferential equations. Zbl 1399.45015
Vijayakumar, V.; Sivasankaran, S.; Arjunan, M. Mallika
4
2012
Existence of global solutions for second order impulsive abstract partial differential equations. Zbl 1237.34136
Sivasankaran, S.; Arjunan, M. Mallika; Vijayakumar, V.
29
2011
Existence of global solutions for second order impulsive abstract functional integrodifferential equations. Zbl 1268.34144
Vijayakumar, V.; Sivasankaran, S.; Arjunan, M. Mallika
9
2011
Existence of global solutions for impulsive functional differential equations with nonlocal conditions. Zbl 1227.34078
Sivasankaran, S.; Arjunan, M. Mallika; Vijayakumar, V.
7
2011
all top 5

Cited by 447 Authors

66 Vijayakumar, Velusamy
41 Sooppy Nisar, Kottakkaran
36 Zhou, Yong
33 Shukla, Anurag
31 Udhayakumar, Ramalingam
21 Ravichandran, Chokkalingam
14 Ahmad, Bashir
14 Al-saedi, Ahmed Eid Salem
14 Dineshkumar, Chendrayan
10 Băleanu, Dumitru I.
10 Murugesu, R.
9 Abdeljawad, Thabet
9 Benchohra, Mouffak
9 Kavitha, Krishnan
9 Nieto Roig, Juan Jose
9 Wang, Jinrong
8 Abbas, Said
8 Panda, Sumati Kumari
8 Valliammal, Natarajan
7 Dabas, Jaydev
7 Jothimani, Kasthurisamy
7 Raja, Marimuthu Mohan
6 Alqudah, Manar A.
6 Kaliraj, Kalimuthu
6 Malik, Muslim
6 Mohan, Manil Thankamani
6 Peng, Li
6 Raja, M. Mohan
5 Baskonus, Haci Mehmet
5 Debbouche, Amar
5 Kavitha Williams, Williams
5 Mahmudov, Elimhan Nadir
5 Patel, Rohit
5 Rezapour, Shahram
5 Shah, Kamal
5 Sukavanam, Nagarajan
5 Vats, Ramesh Kumar
4 Arora, Sumit
4 Haq, Abdul
4 Henríquez, Hernán R.
4 Johnson, Murugesan
4 Khan, Aziz Ullah
4 Mahmudov, Nazim Idrisoglu
4 Muthukumar, Palanisamy
4 Nyamoradi, Nemat
4 O’Regan, Donal
4 Wang, Kangle
3 Amin, Rohul
3 Arjunan, Mani Mallika
3 Bose, C. S. Varun
3 Chalishajar, Dimplekumar N.
3 Chaudhary, Renu
3 Dhawan, Kanika
3 Fu, Xianlong
3 Ibrahim, Ahmed Gamal
3 Jadon, Shimpi Singh
3 Kang, Xiaodong
3 Karthikeyan, Kulandhivel
3 Kumar, Surendra Shashi
3 Li, Yongxiang
3 Liu, Yansheng
3 Nirmalkumar, R.
3 Ntouyas, Sotiris K.
3 Pandey, Dwijendra Narain
3 Singh, Ajeet
3 Singh, Soniya
3 Sivasankar, Sivajiganesan
3 Trujillo, Juan J.
3 Zhao, Daliang
2 Abbas, Ahsan
2 Afreen, Asma
2 Ahmed, Hamdy M.
2 Akgül, Ali
2 Alquran, Marwan Taiseer
2 Anukokila, Paraman
2 Balasubramaniam, Pagavathigounder
2 Bouacida, Ichrak
2 Bouaouid, Mohamed
2 Das, Anupam
2 Durga, Nagarajan
2 El Alaoui, Fatima-Zahrae
2 Fan, Hongxia
2 Fan, Zhenbin
2 Fang, Jianyin
2 Gou, Haide
2 He, Jiawei
2 Hilal, Khalid
2 Hou, Mimi
2 Huang, Hai
2 Jamshed, Wasim
2 Jaradat, Imad
2 Jiang, Yirong
2 Kerboua, Mourad
2 Khan, Rahmat Ali
2 Khatoon, Areefa
2 Kumar, Ankit
2 Kumar, Ashish
2 Kumar, Avadhesh
2 Lan, Do
2 Li, Gang
...and 347 more Authors
all top 5

Cited in 97 Serials

34 Chaos, Solitons and Fractals
29 Advances in Difference Equations
24 Qualitative Theory of Dynamical Systems
22 Mathematical Methods in the Applied Sciences
16 Fractals
16 Evolution Equations and Control Theory
13 International Journal of Nonlinear Sciences and Numerical Simulation
11 Numerical Methods for Partial Differential Equations
9 Applied Mathematics and Computation
7 Numerical Functional Analysis and Optimization
7 Discrete Dynamics in Nature and Society
6 Communications in Nonlinear Science and Numerical Simulation
6 Nonlinear Analysis. Modelling and Control
5 International Journal of Control
5 Mediterranean Journal of Mathematics
4 Applicable Analysis
4 Journal of Computational and Applied Mathematics
4 Journal of Optimization Theory and Applications
4 Results in Mathematics
4 Optimal Control Applications & Methods
4 Fractional Calculus & Applied Analysis
4 Palestine Journal of Mathematics
4 International Journal of Applied and Computational Mathematics
3 Computers & Mathematics with Applications
3 Bulletin des Sciences Mathématiques
3 Journal of Dynamical and Control Systems
3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
3 Journal of Applied Mathematics and Computing
3 Boundary Value Problems
3 Journal of Function Spaces
2 Journal of the Franklin Institute
2 ZAMP. Zeitschrift für angewandte Mathematik und Physik
2 Journal of Differential Equations
2 Rendiconti del Circolo Matemàtico di Palermo. Serie II
2 SIAM Journal on Control and Optimization
2 Stochastic Analysis and Applications
2 Acta Mathematicae Applicatae Sinica. English Series
2 Optimization
2 Applied Mathematics Letters
2 Turkish Journal of Mathematics
2 Mathematical Problems in Engineering
2 Journal of Inequalities and Applications
2 Communications de la Faculté des Sciences de l’Université d’Ankara. Séries A1. Mathematics and Statistics
2 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis
2 Journal of Function Spaces and Applications
2 Cubo
2 Discrete and Continuous Dynamical Systems. Series S
2 Advances in Mathematical Physics
2 Journal of Pseudo-Differential Operators and Applications
2 Journal of Applied Nonlinear Dynamics
1 Journal of Mathematical Analysis and Applications
1 Physica A
1 Rocky Mountain Journal of Mathematics
1 Demonstratio Mathematica
1 International Journal of Mathematics and Mathematical Sciences
1 The Journal of the Indian Mathematical Society. New Series
1 Mathematics and Computers in Simulation
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Bulletin of the Korean Mathematical Society
1 Bulletin of the Iranian Mathematical Society
1 Journal of Theoretical Probability
1 Neural Networks
1 Indagationes Mathematicae. New Series
1 Electronic Journal of Differential Equations (EJDE)
1 Computational and Applied Mathematics
1 Filomat
1 Random Operators and Stochastic Equations
1 Journal of Applied Analysis
1 Differential Equations and Dynamical Systems
1 Abstract and Applied Analysis
1 Taiwanese Journal of Mathematics
1 Nonlinear Functional Analysis and Applications
1 Nonlinear Dynamics and Systems Theory
1 Stochastics and Dynamics
1 Communications on Pure and Applied Analysis
1 Fixed Point Theory and Applications
1 Mathematical Biosciences and Engineering
1 Journal of Industrial and Management Optimization
1 Journal of Fixed Point Theory and Applications
1 Nonlinear Analysis. Hybrid Systems
1 Mathematical Modelling of Natural Phenomena
1 Differential Equations and Applications
1 International Journal of Differential Equations
1 Analysis and Mathematical Physics
1 Afrika Matematika
1 Journal of Mathematical Extension
1 Journal of Nonlinear Evolution Equations and Applications
1 S\(\vec{\text{e}}\)MA Journal
1 Journal of Mathematical Research with Applications
1 Fractional Differential Calculus
1 Journal of Mathematics
1 Discontinuity, Nonlinearity, and Complexity
1 Open Mathematics
1 Cogent Mathematics
1 Ural Mathematical Journal
1 Electronic Research Archive
1 Results in Applied Mathematics

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