Edit Profile (opens in new tab) Vijayakumar, Velusamy Co-Author Distance Author ID: 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 all top 5 Co-Authors 5 single-authored 34 Sooppy Nisar, Kottakkaran 29 Shukla, Anurag 24 Udhayakumar, Ramalingam 15 Murugesu, R. 11 Kavitha, Krishnan 10 Dineshkumar, Chendrayan 7 Panda, Sumati Kumari 7 Raja, Marimuthu Mohan 7 Ravichandran, Chokkalingam 6 Kavitha Williams, Williams 6 Raja, M. Mohan 6 Sivasankaran, Sivanandam 5 Rezapour, Shahram 4 Johnson, Murugesan 4 Zhou, Yong 3 Mahmudov, Nazim Idrisoglu 3 Nieto Roig, Juan Jose 3 Patel, Rohit 3 Sakthivel, Natarajan 2 Baskonus, Haci Mehmet 2 Jadon, Shimpi Singh 2 Jamshed, Wasim 2 Jothimani, Kasthurisamy 2 Malik, Muslim 2 Singh, Ajeet 2 Valliammal, Natarajan 2 Vats, Ramesh Kumar 2 Veluvolu, Kalyana Chakravarthy 1 Alagiri Prakash, K. Alagiri 1 Arora, Urvashi 1 Băleanu, Dumitru I. 1 Chalishajar, Dimplekumar N. 1 Chauhan, Saurabh 1 Das, Anupam 1 Dhanalakshmi, Samiappan 1 Dhawan, Kanika 1 Dos Santos, José Paulo Carvalho 1 Gautam, Pooja 1 Hazarika, Bipan 1 Henríquez, Hernán R. 1 Huynh, Le Nhat 1 Jahanshahi, Hadi 1 Kaliraj, Kalimuthu 1 Khan, Sami Ullah 1 Kumar, Avadhesh 1 Kumar, Kamalendra 1 Poongodi, R. 1 Pradeesh, J. 1 Prakash, K. Alagiri 1 Rahman, Gauhar 1 Selvakumar, A. 1 Tamilselvan, M. 1 Trujillo, Juan J. 1 Verma, Sachin Kumar all top 5 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 all top 5 Fields 71 Ordinary differential equations (34-XX) 63 Systems theory; control (93-XX) 45 Operator theory (47-XX) 28 Real functions (26-XX) 20 Partial differential equations (35-XX) 16 Integral equations (45-XX) 11 Calculus of variations and optimal control; optimization (49-XX) 7 Probability theory and stochastic processes (60-XX) 7 Numerical analysis (65-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Mechanics of deformable solids (74-XX) 2 General topology (54-XX) 2 Biology and other natural sciences (92-XX) 1 Dynamical systems and ergodic theory (37-XX) Publications by Year all cited Publications top 5 cited Publications 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 cited Publications top 5 cited Publications 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 all top 5 Cited in 28 Fields 248 Ordinary differential equations (34-XX) 176 Systems theory; control (93-XX) 131 Operator theory (47-XX) 97 Real functions (26-XX) 68 Partial differential equations (35-XX) 54 Integral equations (45-XX) 38 Probability theory and stochastic processes (60-XX) 25 Numerical analysis (65-XX) 22 Calculus of variations and optimal control; optimization (49-XX) 13 Dynamical systems and ergodic theory (37-XX) 8 Special functions (33-XX) 7 Biology and other natural sciences (92-XX) 6 Integral transforms, operational calculus (44-XX) 4 Difference and functional equations (39-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Mechanics of deformable solids (74-XX) 3 Measure and integration (28-XX) 3 Functional analysis (46-XX) 2 Fluid mechanics (76-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Abstract harmonic analysis (43-XX) 1 General topology (54-XX) 1 Computer science (68-XX) 1 Optics, electromagnetic theory (78-XX) 1 Quantum theory (81-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year