Edit Profile (opens in new tab) Balachandran, Krishnan Co-Author Distance Author ID: balachandran.krishnan Published as: Balachandran, K.; Balachandran, Krishnan; Krishnan, Balachandran; Balachandan, Krishnan more...less Homepage: https://www.linkedin.com/in/balachandran-krishnan-7273a74b External Links: MGP · dblp Documents Indexed: 447 Publications since 1983, including 2 Books Reviewing Activity: 171 Reviews Co-Authors: 131 Co-Authors with 393 Joint Publications 2,179 Co-Co-Authors all top 5 Co-Authors 32 single-authored 33 Dauer, Jerald P. 21 Annapoorani, Natarajan 21 Trujillo, Juan J. 20 Park, Jong Yeoul 17 Kim, Jeong-Hoon 15 Balasubramaniam, Pagavathigounder 15 Sakthivel, Kumarasamy 13 Kim, Jong Kyu 12 Maki, Haruo 11 Anthoni, Selvaraj Marshal 11 Ilamaran, S. 11 Karthikeyan, Shanmugasundaram 10 Anguraj, Annamalai 10 Shangerganesh, Lingeshwaran 10 Suvinthra, Murugan 9 Arthi, Ganesan 9 Barani Balan, Natesan 9 Govindaraj, Venkatesan 9 Sakthivel, Rathinasamy 9 Somasundaram, D. D. 9 Thandapani, Ethiraju 8 Kiruthika, S. 8 Radhakrishnan, Bheeman 7 Gnanavel, Soundararajan 7 Kokila, Jayakumar 7 Lizzy, Rajendran Mabel 7 Ma, Yong-Ki 7 Samuel, Francis Paul 6 Anandhi, E. Radhakrishnan 6 Bhuvaneswari, Venkatasubramaniam 6 Chandrasekaran, Mariappan 6 Murugesan, K. 6 Park, Dong-Gun 6 Sai Sundara Krishnan, G. 6 Sundaram, Palaniappan 5 Arockiarani, I. 5 Baranibalan, N. 5 Divya, Shanmugam 5 Hernández, Eduardo M. 5 Julie, M. Diana 5 Kanakaraj, M. 5 Lavanya, R. Lakshmi 5 Rathinasamy, Anandaraman 5 Rivero, Margarita 5 Rodriguez-Germá, Luis 5 Umamaheswari, P. 4 Akilandeeswari, Aruchamy 4 Leelamani, Arunachalam 4 Nirmala, R. Joice 4 Palanisamy, K. R. 4 Ramaswamy, R. S. 4 Sathiyanathan, K. 4 Sathya, Ravikumar 4 Sivasamy, R. 3 Devipriya, Ganeshan 3 Ganster, Maximilian 3 Gokila, Chellamuthu 3 Gurusamy, Arumugam 3 Joice Nirmala, Rajagopal 3 Kamalapriya, B. 3 Karunanithi, Subbarayan 3 O’Regan, Donal 3 Sowrirajan, Rangarajan 3 Subalakshmi, Ravikumar 3 Sumathy, K. 3 Uchiyama, Kôichi 2 Akiladevi, K. Shri 2 Arokiarani, I. 2 Dinakar, Varadharaj 2 Dontchev, Julian 2 Gnanambal, Y. 2 Janaki, C. 2 Jung, Il Hyo 2 Karuppiah, K. 2 Kumar, Pitchaikkannu Suresh 2 Kwun, Young Chel 2 Manimegalai, P. 2 Rose, Gregory Amali Paul 2 Sambath, Muniyagounder 2 Sathya, Murugesan 2 Selvaraj Surendar, Maruthai 2 Sritharan, Sivaguru S. 2 Zhou, Yong 1 Anukokila, Paraman 1 Arumugam, Gurusamy 1 Balasubramaniam, G. 1 Banaś, Józef 1 Byszewski, Ludwik 1 Erhardt, André 1 Eswaramoorthy, Indurekha 1 George, Raju K. 1 Gopal, Thangaraj Nandha 1 Guin, Lakshmi Narayan 1 Gunasekar, Tharmalingam 1 Haseena, A. 1 Ilango, Gnanambal 1 Karunanidhi, S. 1 Kausika, C. 1 Kim, Daewook 1 Kumar, Rajagounder Ravi ...and 31 more Co-Authors all top 5 Serials 28 Nonlinear Functional Analysis and Applications 19 Indian Journal of Pure & Applied Mathematics 19 Kybernetika 17 Journal of Applied Mathematics and Stochastic Analysis 15 Journal of Applied Nonlinear Dynamics 14 Nonlinear Analysis. Hybrid Systems 13 Journal of Optimization Theory and Applications 12 Computers & Mathematics with Applications 10 Journal of Mathematical Analysis and Applications 9 Electronic Journal of Differential Equations (EJDE) 9 Discontinuity, Nonlinearity, and Complexity 8 Tamkang Journal of Mathematics 7 International Journal of Control 7 Libertas Mathematica 7 IMA Journal of Mathematical Control and Information 6 Applicable Analysis 6 Journal of Mathematical and Physical Sciences 6 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 6 Memoirs of the Faculty of Science. Series A. Mathematics 6 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 6 International Journal of Applied Mathematics and Computer Science 5 Journal of the Australian Mathematical Society, Series B 5 Applied Mathematics and Computation 5 Bulletin of the Korean Mathematical Society 5 Applied Mathematics Letters 5 Taiwanese Journal of Mathematics 5 Nihonkai Mathematical Journal 4 Mathematical Methods in the Applied Sciences 4 Bulletin of the Calcutta Mathematical Society 4 Bulletin of Fukuoka University of Education. Part III 4 Acta Applicandae Mathematicae 4 Dynamic Systems and Applications 4 International Journal of Computer Mathematics 4 IEE Proceedings. Part D. Control Theory and Applications 4 Communications in Nonlinear Science and Numerical Simulation 4 Nonlinear Analysis. Modelling and Control 4 International Journal of Biomathematics 3 Journal of Computational and Applied Mathematics 3 Journal A 3 Kybernetes 3 Kyungpook Mathematical Journal 3 Journal of Mathematical Systems, Estimation, and Control 3 Vietnam Journal of Mathematics 3 Fractional Calculus & Applied Analysis 3 Nonlinear Analysis. Real World Applications 3 International Journal of Pure and Applied Mathematics 3 Journal of Control Theory and Applications 3 Boundary Value Problems 3 Kochi Journal of Mathematics 3 Journal of the Korean Society for Industrial and Applied Mathematics 3 Journal of Applied Analysis and Computation 2 Bulletin of the Australian Mathematical Society 2 International Journal of Mathematical Education in Science and Technology 2 International Journal of Systems Science 2 Reports on Mathematical Physics 2 Chaos, Solitons and Fractals 2 Acta Ciencia Indica. Mathematics 2 IEEE Transactions on Automatic Control 2 Numerical Functional Analysis and Optimization 2 Rivista di Matematica della Università di Parma. Serie IV 2 Optimal Control Applications & Methods 2 Stochastic Analysis and Applications 2 Mathematical and Computer Modelling 2 Applied Mathematical Modelling 2 Atti del Seminario Matematico e Fisico dell’Università di Modena 2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 2 Mathematical Problems in Engineering 2 Differential Equations and Dynamical Systems 2 Electronic Journal of Qualitative Theory of Differential Equations 2 Applied Mathematics E-Notes 2 East Asian Mathematical Journal 2 Journal of Nonlinear Science and Applications 2 Nonautonomous Dynamical Systems 2 AIMS Mathematics 1 IMA Journal of Applied Mathematics 1 Journal of the Franklin Institute 1 Acta Mathematica Vietnamica 1 The Aligarh Bulletin of Mathematics 1 Automatica 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Applied Probability 1 Journal of the Korean Mathematical Society 1 The Mathematics Student 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Tokyo Journal of Mathematics 1 Chinese Annals of Mathematics. Series B 1 Questions and Answers in General Topology 1 Optimization 1 Journal of Applied Mathematics and Simulation 1 MCSS. Mathematics of Control, Signals, and Systems 1 International Journal of Electronics 1 Differential and Integral Equations 1 Acta Mathematica Universitatis Comenianae. New Series 1 Indagationes Mathematicae. New Series 1 Filomat 1 Journal of Inverse and Ill-Posed Problems 1 Nonlinear Studies 1 Journal of Vibration and Control 1 Nonlinear Dynamics 1 Abstract and Applied Analysis ...and 24 more Serials all top 5 Fields 194 Systems theory; control (93-XX) 168 Ordinary differential equations (34-XX) 101 Operator theory (47-XX) 100 Integral equations (45-XX) 60 Partial differential equations (35-XX) 42 Biology and other natural sciences (92-XX) 41 Probability theory and stochastic processes (60-XX) 32 General topology (54-XX) 22 Real functions (26-XX) 19 Calculus of variations and optimal control; optimization (49-XX) 14 Numerical analysis (65-XX) 6 Dynamical systems and ergodic theory (37-XX) 4 Special functions (33-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Integral transforms, operational calculus (44-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Mechanics of particles and systems (70-XX) 2 Mathematical logic and foundations (03-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Number theory (11-XX) 1 Functional analysis (46-XX) 1 Computer science (68-XX) 1 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 359 Publications have been cited 3,379 times in 1,845 Documents Cited by ▼ Year ▼ On recent developments in the theory of abstract differential equations with fractional derivatives. Zbl 1229.34004 Hernández, Eduardo; O’Regan, Donal; Balachandran, Krishnan 130 2010 Controllability of nonlinear systems in Banach spaces: a survey. Zbl 1023.93010 Balachandran, K.; Dauer, J. P. 114 2002 The nonlocal Cauchy problem for nonlinear fractional integrodifferential equations in Banach spaces. Zbl 1196.34007 Balachandran, Krishnan; Trujillo, Juan J. 101 2010 Nonlocal Cauchy problem for abstract fractional semilinear evolution equations. Zbl 1213.34008 Balachandran, K.; Park, J. Y. 78 2009 Controllability of nonlinear fractional dynamical systems. Zbl 1277.34006 Balachandran, K.; Park, J. Y.; Trujillo, J. J. 61 2012 Existence results for fractional impulsive integrodifferential equations in Banach spaces. Zbl 1221.34215 Balachandran, K.; Kiruthika, S.; Trujillo, J. J. 61 2011 Controllability of nonlinear systems via fixed-point theorems. Zbl 0596.93010 Balachandran, K.; Dauer, J. P. 57 1987 Existence of solutions of abstract fractional impulsive semilinear evolution equations. Zbl 1201.34091 Balachandran, K.; Kiruthika, S. 56 2010 Controllability of integrodifferential systems in Banach spaces. Zbl 1034.93005 Balachandran, K.; Sakthivel, R. 53 2001 Existence of solutions of nonlinear fractional pantograph equations. Zbl 1299.34009 Balachandran, K.; Kiruthika, S.; Trujillo, J. J. 52 2013 Controllability of fractional integrodifferential systems in Banach spaces. Zbl 1175.93028 Balachandran, K.; Park, J. Y. 48 2009 On the controllability of fractional dynamical systems. Zbl 1302.93042 Balachandran, Krishnan; Kokila, Jayakumar 44 2012 On fractional impulsive equations of Sobolev type with nonlocal condition in Banach spaces. Zbl 1228.34014 Balachandran, K.; Kiruthika, S.; Trujillo, J. J. 41 2011 Controllability results for nonlinear fractional-order dynamical systems. Zbl 1263.93029 Balachandran, K.; Govindaraj, V.; Rodríguez-Germa, L.; Trujillo, J. J. 36 2013 Controllability of nonlinear integrodifferential systems in Banach space. Zbl 0821.93010 Balachandran, K.; Dauer, J. P.; Balasubramaniam, P. 35 1995 Relative controllability of fractional dynamical systems with delays in control. Zbl 1248.93022 Balachandran, K.; Zhou, Yong; Kokila, J. 34 2012 Existence of solutions of a delay differential equation with nonlocal condition. Zbl 0854.34065 Balachandran, K.; Chandrasekaran, M. 34 1996 Global exponential stability of neutral-type impulsive neural networks with discrete and distributed delays. Zbl 1179.93143 Samidurai, R.; Marshal Anthoni, S.; Balachandran, K. 32 2010 Controllability of fractional damped dynamical systems. Zbl 1338.93069 Balachandran, K.; Govindaraj, V.; Rivero, M.; Trujillo, J. J. 32 2015 Relative controllability of fractional dynamical systems with multiple delays in control. Zbl 1268.93021 Balachandran, K.; Kokila, J.; Trujillo, J. J. 32 2012 Existence results for impulsive neutral functional integrodifferential equations with infinite delay. Zbl 1196.34105 Park, J. Y.; Balachandran, K.; Annapoorani, N. 31 2009 Existence results for abstract fractional differential equations with nonlocal conditions via resolvent operators. Zbl 1254.34011 Hernández, Eduardo; O’Regan, Donal; Balachandran, Krishnan 30 2013 Local null controllability of nonlinear functional differential systems in Banach space. Zbl 0848.93007 Balachandran, K.; Balasubramaniam, P.; Dauer, J. P. 29 1996 Controllability of functional semilinear integrodifferential systems in Banach spaces. Zbl 0982.93018 Balachandran, K.; Sakthivel, R. 29 2001 Existence of solutions of nonlinear neutral integrodifferential equations in Banach spaces. Zbl 0966.45008 Dauer, J. P.; Balachandran, K. 28 2000 Existence of solutions of general nonlinear fuzzy Volterra-Fredholm integral equations. Zbl 1099.45005 Balachandran, K.; Kanagarajan, K. 27 2005 Controllability of second-order impulsive evolution systems with infinite delay. Zbl 1291.93033 Arthi, G.; Balachandran, K. 27 2014 Controllability of nonlinear fractional delay dynamical systems. Zbl 1378.93022 Nirmala, R. Joice; Balachandran, K.; Rodríguez-Germa, L.; Trujillo, J. J. 27 2016 On generalized continuous maps in topological spaces. Zbl 0736.54005 Balachandran, K.; Sundaram, P.; Maki, H. 26 1991 Controllability of neutral functional integrodifferential systems in Banach spaces. Zbl 0982.93019 Balachandran, K.; Sakthivel, R.; Dauer, J. P. 25 2000 Controllability of neutral evolution integrodifferential systems with state dependent delay. Zbl 1237.93029 Radhakrishnan, B.; Balachandran, K. 25 2012 Relative controllability of fractional dynamical systems with distributed delays in control. Zbl 1268.93022 Balachandran, K.; Zhou, Yong; Kokila, J. 24 2012 Approximate controllability of nonlinear stochastic impulsive integrodifferential systems in Hilbert spaces. Zbl 1198.93053 Subalakshmi, R.; Balachandran, K. 24 2009 Controllability of second-order semilinear neutral functional differential systems in Banach spaces. Zbl 0990.93007 Balachandran, K.; Marshal Anthoni, S. 22 2001 Associated topologies of generalized \(\alpha\)-closed sets and \(\alpha\)- generalized closed sets. Zbl 0821.54002 Maki, H.; Devi, R.; Balachandran, K. 22 1994 Existence of solutions to neutral functional integrodifferential equations in Banach spaces. Zbl 0934.45012 Balachandran, K.; Sakthivel, R. 21 1999 On a class of non-linear parabolic control systems with memory effects. Zbl 1152.93312 Sakthivel, K.; Balachandran, K.; Nagaraj, B. R. 21 2008 Controllability of nonlinear higher order fractional dynamical systems. Zbl 1268.34007 Balachandran, K.; Govindaraj, V.; Rodríguez-Germá, L.; Trujillo, J. J. 21 2013 Mean-square stability of Milstein method for linear hybrid stochastic delay integro-differential equations. Zbl 1163.93398 Rathinasamy, A.; Balachandran, K. 20 2008 Controllability of impulsive neutral functional evolution integrodifferential systems with infinite delay. Zbl 1227.93016 Radhakrishnan, B.; Balachandran, K. 20 2011 Numerical controllability of fractional dynamical systems. Zbl 1292.93023 Balachandran, Krishnan; Govindaraj, Venkatesan 20 2014 Existence of solutions of nonlinear fuzzy Volterra-Fredholm integral equations. Zbl 1005.45004 Balachandran, K.; Prakash, P. 20 2002 Controllability of nonlinear stochastic neutral impulsive systems. Zbl 1184.93018 Karthikeyan, S.; Balachandran, K. 19 2009 Nonlocal Cauchy problem for delay integrodifferential equations of Sobolev type in Banach spaces. Zbl 1028.45006 Balachandran, K.; Park, J. Y.; Chandrasekaran, M. 19 2002 Existence of solutions and controllability of nonlinear integro-differential systems in Banach spaces. Zbl 1074.34057 Balachandran, K.; Park, J. Y. 18 2003 Existence of solutions to nonlinear integrodifferential equations of Sobolev type with nonlocal condition in Banach spaces. Zbl 0957.34058 Balachandran, K.; Uchiyama, K. 17 2000 Existence results for fractional integrodifferential equations with nonlocal condition via resolvent operators. Zbl 1228.34013 Balachandran, K.; Kiruthika, S. 17 2011 Controllability of damped second-order neutral functional differential systems with impulses. Zbl 1235.93042 Arthi, G.; Balachandran, K. 17 2012 Controllability of nonlinear Itô type stochastic integrodifferential systems. Zbl 1151.93005 Balachandran, K.; Karthikeyan, S. 17 2008 Analysis of different systems via single-term Walsh series method. Zbl 0752.65056 Balachandran, K.; Murugesan, K. 17 1990 Existence of solutions of abstract fractional integrodifferential equations of Sobolev type. Zbl 1268.34151 Balachandran, K.; Kiruthika, S. 17 2012 Constrained controllability of fractional dynamical systems. Zbl 1279.93021 Balachandran, K.; Kokila, J. 17 2013 Controllability of Sobolev-type integrodifferential systems in Banach spaces. Zbl 0927.93015 Balachandran, K.; Dauer, J. P. 16 1998 Generalized \(\alpha\)-closed sets in topology. Zbl 0888.54005 Maki, H.; Devi, R.; Balachandran, K. 16 1993 Analysis of electronic circuits using the single-term Walsh series approach. Zbl 0707.94026 Balachandran, K.; Murugesan, K. 16 1990 Mean-square stability of second-order Runge-Kutta methods for multi-dimensional linear stochastic differential systems. Zbl 1148.65006 Rathinasamy, A.; Balachandran, K. 16 2008 Controllability results for semilinear impulsive integrodifferential evolution systems with nonlocal conditions. Zbl 1265.93023 Radhakrishnan, Bheeman; Balachandran, Krishnan 16 2012 Spatiotemporal patterns in a predator-prey model with cross-diffusion effect. Zbl 1388.35009 Sambath, M.; Balachandran, K.; Guin, L. N. 15 2018 Remarks on the paper “Controllability of second order differential inclusion in Banach spaces” by J. R. Kang, Y. C. Kwun, J. Y. Park. Zbl 1116.93019 Balachandran, K.; Kim, J.-H. 15 2006 Controllability of neutral functional integrodifferential infinite delay systems in Banach spaces. Zbl 1072.93004 Balachandran, K.; Anandhi, E. R. 15 2004 Existence and uniqueness of mild and strong solutions of a semilinear evolution equation with nonlocal conditions. Zbl 0808.47047 Balachandran, K.; Ilamaran, S. 15 1994 Inverse problem for the reaction diffusion system by optimization method. Zbl 1202.35352 Sakthivel, K.; Gnanavel, S.; Balan, N. Barani; Balachandran, K. 15 2011 Controllability of impulsive neutral integrodifferential systems with infinite delay in Banach spaces. Zbl 1184.93020 Park, J. Y.; Balachandran, K.; Arthi, G. 14 2009 Existence results for impulsive neutral evolution integrodifferential equations with infinite delay. Zbl 1179.45019 Balachandran, K.; Annapoorani, N. 14 2009 Mean square stability of semi-implicit Euler method for linear stochastic differential equations with multiple delays and Markovian switching. Zbl 1159.65011 Rathinasamy, A.; Balachandran, K. 14 2008 Boundary controllability of Sobolev-type abstract nonlinear integrodifferential systems. Zbl 1017.93017 Balachandran, K.; Anandhi, E. R.; Dauer, J. P. 14 2003 Stability and Hopf bifurcation of a diffusive predator-prey model with predator saturation and competition. Zbl 1284.35229 Sambath, M.; Gnanavel, S.; Balachandran, K. 14 2013 Controllability of semilinear stochastic integrodifferential systems. Zbl 1137.93010 Balachandran, K.; Karthikeyan, S.; Kim, J.-H. 13 2007 Boundary controllability of integrodifferential systems in Banach spaces. Zbl 0982.93017 Balachandran, K.; Anandhi, E. R. 13 2001 Exact controllability of nonlinear diffusion equations arising in reactor dynamics. Zbl 1156.93321 Sakthivel, K.; Balachandran, K.; Sritharan, S. S. 13 2008 Controllability results for damped second-order impulsive neutral integrodifferential systems with nonlocal conditions. Zbl 1299.93027 Arthi, Ganesan; Balachandran, Krishnan 13 2013 Controllability of nonlinear stochastic systems with multiple time-varying delays in control. Zbl 1322.93020 Karthikeyan, Shanmugasundaram; Balachandran, Krishnan; Sathya, Murugesan 13 2015 Existence and uniqueness of solutions of degenerate chemotaxis system. Zbl 1357.35267 Shangerganesh, L.; Balan, N. Barani; Balachandran, K. 13 2014 Controllability of nonlinear fractional delay integrodifferential systems. Zbl 1341.93014 Nirmala, R. Joice; Balachandran, K. 13 2016 Existence results for a damped second order abstract functional differential equation with impulses. Zbl 1185.34113 Hernandez, Eduardo; Balachandran, K.; Annapoorani, N. 12 2009 Nonlinear integrodifferential equations of Sobolev type with nonlocal conditions in Banach spaces. Zbl 0972.45009 Balachandran, K.; Park, D. G.; Kwun, Y. C. 12 1999 Controllability of damped second-order impulsive neutral functional differential systems with infinite delay. Zbl 1237.93023 Arthi, G.; Balachandran, K. 12 2012 Existence of solutions to second-order neutral functional-differential equations. Zbl 0998.34066 Balachandran, K.; Marshal Anthoni, S. 12 1999 Analysis of nonlinear singular systems via STWS method. Zbl 0725.65073 Balachandran, K.; Murugesan, K. 12 1990 Controllability of nonlinear stochastic fractional neutral systems with multiple time varying delays in control. Zbl 1374.93051 Lizzy, R. Mabel; Balachandran, Krishnan; Trujillo, Juan J. 12 2017 Controllability of nonlinear stochastic fractional systems with Lévy noise. Zbl 1377.93046 Lizzy, R. Mabel; Balachandran, K.; Suvinthra, M. 12 2017 Global existence and blow up of solutions of quasilinear chemotaxis system. Zbl 1375.35006 Bhuvaneswari, Venkatasubramaniam; Shangerganesh, Lingeshwaran; Balachandran, Krishnan 12 2015 Controllability of nonlinear implicit fractional integrodifferential systems. Zbl 1309.93025 Balachandran, Krishnan; Divya, Shanmugam 12 2014 Controllability of stochastic integrodifferential systems. Zbl 1120.93012 Balachandran, K.; Karthikeyan, S. 11 2007 Optimal control of singular systems via single-term Walsh series. Zbl 0767.49015 Balachandran, K.; Murugesan, K. 11 1992 Solvability of reaction – diffusion model with variable exponents. Zbl 1294.35179 Shangerganesh, Lingeshwaran; Balachandran, Krishnan 11 2014 Analysis of stochastic diffusive predator prey model with hyperbolic mortality rate. Zbl 1349.92132 Suvinthra, M.; Balachandran, K.; Sambath, M. 11 2016 Stabilizability of fractional dynamical systems. Zbl 1303.93034 Balachandran, Krishnan; Govindaraj, Venkatesan; Rodríguez-Germá, Luis; Trujillo, Juan J. 11 2014 Delay-dependent global asymptotic stability criteria for genetic regulatory networks with time delays in the leakage term. Zbl 1262.34097 Rakkiyappan, R.; Balasubramaniam, P.; Balachandran, K. 11 2011 Global relative controllability of nonlinear systems with time-varying multiple delays in control. Zbl 0629.93010 Balachandran, Krishnan 10 1987 Single-term Walsh series approach to singular systems. Zbl 0634.93034 Palanisamy, K. R.; Balachandran, K. 10 1987 On local attractivity of solutions of a functional integral equation of fractional order with deviating arguments. Zbl 1222.45002 Balachandran, K.; Park, J. Y.; Julie, M. Diana 10 2010 Controllability of second order semilinear Volterra integrodifferential systems in Banach spaces. Zbl 0935.93013 Balachandran, K.; Park, J. Y.; Marshal Anthoni, S. 10 1999 Existence of solutions of abstract nonlinear second-order neutral functional integrodifferential equations. Zbl 1054.45006 Balachandran, K.; Park, D. G.; Marshal Anthoni, S. 10 2003 Controllability of perturbed nonlinear delay systems. Zbl 0614.93011 Balachandran, K.; Dauer, J. P. 10 1987 Controllability of second-order integrodifferential evolution systems in Banach spaces. Zbl 1127.93013 Balachandran, K.; Park, D. G.; Manimegalai, P. 10 2005 On controllability for a class of stochastic impulsive systems with delays in control. Zbl 1307.93069 Karthikeyan, S.; Balachandran, K. 10 2013 Controllability of neutral functional evolution integrodifferential systems with infinite delay. Zbl 1146.93006 Balachandran, K.; Leelamani, A.; Kim, J.-H. 10 2008 Solutions of system of fractional partial differential equations. Zbl 1302.35409 Parthiban, V.; Balachandran, K. 10 2013 Weak-renormalized solutions for predator-prey system. Zbl 1263.35135 Shangerganesh, L.; Balan, N. Barani; Balachandran, K. 10 2013 Moderate deviations for stochastic tidal dynamics equations with multiplicative Gaussian noise. Zbl 1491.60098 Haseena, A.; Suvinthra, M.; Mohan, Manil T.; Balachandran, K. 8 2022 Asymptotic stability of fractional Langevin systems. Zbl 1505.34011 Govindaraj, Venkatesan; Priyadharsini, Sivaraj; Kumar, Pitchaikkannu Suresh; Balachandan, Krishnan 1 2022 Existence and stability results of generalized fractional integrodifferential equations. Zbl 1495.45006 Kausika, C.; Balachandran, K.; Annapoorani, N.; Kim, J. K. 2 2021 Large deviations for stochastic Kuramoto-Sivashinsky equation with multiplicative noise. Zbl 1470.60189 Rose, Gregory Amali Paul; Suvinthra, Murugan; Balachandran, Krishnan 1 2021 Analysis of stochastic predator-prey model with disease in the prey and Holling type II functional response. Zbl 1482.34124 Gokila, C.; Sambath, M.; Balachandran, K.; Ma, Yong-Ki 5 2020 Existence and stability results for Caputo fractional stochastic differential equations with Lévy noise. Zbl 1513.34039 Umamaheswari, P.; Balachandran, K.; Annapoorani, N. 4 2020 Existence results of fractional neutral integrodifferential equations with deviating arguments. Zbl 1496.45008 Kamalapriya, B.; Balachandran, K.; Annapoorani, N. 3 2020 Bifurcation on diffusive Holling-Tanner predator-prey model with stoichiometric density dependence. Zbl 1442.35025 Selvaraj Surendar, Maruthai; Sambath, Muniyagounder; Balachandran, Krishnan 2 2020 On fractional partial differential equations of diffusion type with integral kernel. Zbl 1467.35330 Akilandeeswari, A.; Balachandran, K.; Annapoorani, N. 2 2020 Existence and stability results for stochastic fractional delay differential equations with Gaussian noise. Zbl 07357297 Umamaheswari, P.; Balachandran, K.; Annapoorani, N. 2 2020 Existence of weak solutions to the Keller-Segel chemotaxis system with additional cross-diffusion. Zbl 1436.35005 Arumugam, Gurusamy; Erhardt, André H.; Eswaramoorthy, Indurekha; Krishnan, Balachandran 2 2020 Relative controllability of nonlinear fractional Langevin systems with delays in control. Zbl 1443.93036 Suresh Kumar, P.; Balachandran, K.; Annapoorani, N. 2 2020 Lower bound of blow up time for three species cooperating model. Zbl 1472.92171 Bhuvaneswari, V.; Balachandran, K. 2 2020 Dynamics of a modified Leslie-Gower model with Crowley-Martin functional response and prey harvesting. Zbl 1478.92168 Sivasamy, R.; Sathiyanathan, K.; Balachandran, K. 7 2019 Nonlocal Cauchy problem for second order functional differential equations and fractional differential equations. Zbl 1460.34075 Balachandran, K.; Byszewski, L.; Kim, J. K. 4 2019 Controllability of nonlinear fractional Langevin systems. Zbl 1453.93022 Kumar, P. Suresh; Govindaraj, V.; Balachandran, K.; Annapoorani, N. 3 2019 Spatial pattern of ratio-dependent predator-prey model with prey harvesting and cross-diffusion. Zbl 1411.35259 Sivasamy, R.; Sivakumar, M.; Balachandran, K.; Sathiyanathan, K. 3 2019 Dynamics of a modified Leslie-Gower model with gestation effect and nonlinear harvesting. Zbl 1465.92099 Sivasamy, R.; Sathiyanathan, K.; Balachandran, K. 2 2019 Dynamics of modified Leslie-Gower harvested predator-prey model with Beddington-De Angelis functional response. Zbl 1418.37084 Sivasamy, R.; Sivakumar, M.; Sathiyanathan, K.; Balachandran, K. 2 2019 Dynamics of a modified Holling-Tanner predator-prey model with diffusion. Zbl 1429.35133 Sambath, M.; Balachandran, K.; Jung, Il Hyo 1 2019 Spatiotemporal patterns in a predator-prey model with cross-diffusion effect. Zbl 1388.35009 Sambath, M.; Balachandran, K.; Guin, L. N. 15 2018 Asymptotic behavior of the fractional order three species prey-predator model. Zbl 1461.92098 Sambath, M.; Ramesh, P.; Balachandran, K. 9 2018 Controllability of nonlinear fractional Langevin delay systems. Zbl 1416.93031 Kumar, Pitchaikkannu Suresh; Balachandran, Krishnan; Annapoorani, Natarajan 8 2018 Numerical approach for the controllability of composite fractional dynamical systems. Zbl 1391.93037 Govindaraj, Venkatesan; Balachandran, Krishnan; George, Raju K. 4 2018 Existence of solutions of stochastic fractional integrodifferential equations. Zbl 1398.45006 Umamaheswari, P.; Balachandran, K.; Annapoorani, N. 3 2018 Boundary controllability of nonlinear stochastic fractional systems in Hilbert spaces. Zbl 1396.93023 Lizzy, Rajendran Mabel; Balachandran, Krishnan 3 2018 Controllability of nonlinear stochastic fractional neutral systems with multiple time varying delays in control. Zbl 1374.93051 Lizzy, R. Mabel; Balachandran, Krishnan; Trujillo, Juan J. 12 2017 Controllability of nonlinear stochastic fractional systems with Lévy noise. Zbl 1377.93046 Lizzy, R. Mabel; Balachandran, K.; Suvinthra, M. 12 2017 Controllability of nonlinear neutral fractional integrodifferential systems with infinite delay. Zbl 1377.93041 Balachandran, K.; Divya, S. 9 2017 Bifurcation and spatiotemporal patterns of a density-dependent predator-prey model with Crowley-Martin functional response. Zbl 1376.92051 Sivakumar, M.; Balachandran, K.; Karuppiah, K. 9 2017 Weak solutions for nonlinear parabolic equations with variable exponents. Zbl 1391.35208 Shangerganesh, Lingeshwaran; Gurusamy, Arumugam; Balachandran, Krishnan 9 2017 The controllability of nonlinear implicit fractional delay dynamical systems. Zbl 1373.93065 Joice Nirmala, Rajagopal; Balachandran, Krishnan 6 2017 Controllability of nonlinear fractional delay dynamical systems with multiple delays in control. Zbl 1425.93037 Balachandran, Krishnan 6 2017 Controllability of nonlinear stochastic neutral fractional dynamical systems. Zbl 1416.93035 Rajendran, Mabel Lizzy; Balachandran, Krishnan; Trujillo, Juan J. 6 2017 Null controllability of fractional dynamical systems with constrained control. Zbl 1364.93065 Joice Nirmala, Rajagopal; Balachandran, Krishnan; Trujillo, Juan J. 5 2017 Relative controllability of nonlinear fractional delay integrodifferential systems with multiple delays in control. Zbl 1424.93019 Joice Nirmala, Rajagopal; Balachandran, Krishnan 5 2017 Exsistence results for fractional integrodifferential equations. Zbl 1377.60072 Kamalapriya, B.; Balachandran, K.; Annapoorani, N. 4 2017 Large deviations for nonlinear Itô type stochastic integrodifferential equations. Zbl 1365.45006 Suvinthra, M.; Balachandran, K. 4 2017 Existence of solutions of fractional partial integrodifferential equations with Neumann boundary condition. Zbl 1386.45008 Akilandeeswari, A.; Balachandran, K.; Annapoorani, N. 3 2017 On the solution of stochastic fractional integrodifferential equations. Zbl 1381.45031 Umamaheswari, P.; Balachandran, K.; Annapoorani, N. 2 2017 Large deviations for stochastic fractional integrodifferential equations. Zbl 1474.45102 Suvinthra, Murugan; Balachandran, Krishnan; Lizzy, Rajendran Mabel 2 2017 Large deviations for the stochastic predator-prey model with nonlinear functional response. Zbl 1398.92222 Suvinthra, M.; Balachandran, K. 2 2017 Solvability of hyperbolic fractional partial differential equations. Zbl 1448.35535 Akilandeeswari, Aruchamy; Balachandran, Krishnan; Annapoorani, Natarajan 2 2017 On fractional delay integrodifferential equations with four-point multiterm fractional integral boundary conditions. Zbl 1424.45015 Shri Akiladevi, K.; Balachandran, K. 1 2017 Blow-up of solutions to reaction-diffusion system with nonstandard growth conditions. Zbl 1377.35036 Gurusamy, Arumugam; Balachandran, Krishnan 1 2017 Estimates from below for blow up time for two species chemotaxis system. Zbl 1377.92012 Bhuvaneswari, V.; Balachandran, K. 1 2017 Bifurcation and stability analysis of a diffusive predator-prey model with ratio-dependent type III functional response. Zbl 1377.37118 Sivakumar, M.; Balachandran, K. 1 2017 Controllability of semilinear stochastic delay systems with distributed delays in control. Zbl 1386.93051 Karthikeyan, S.; Sathya, M.; Balachandran, K. 1 2017 On the solutions of partial integrodifferential equations of fractional order. Zbl 1360.45008 Akilandeeswari, Aruchamy; Balachandran, Krishnan; Rivero, Margarita; Trujillo, Juan J. 1 2017 Identification of source terms in a coupled age-structured population model with discontinuous diffusion coefficients. Zbl 1427.35351 Dinakar, Varadharaj; Balan, Natesan Barani; Balachandran, Krishnan 1 2017 Controllability of nonlinear fractional delay dynamical systems. Zbl 1378.93022 Nirmala, R. Joice; Balachandran, K.; Rodríguez-Germa, L.; Trujillo, J. J. 27 2016 Controllability of nonlinear fractional delay integrodifferential systems. Zbl 1341.93014 Nirmala, R. Joice; Balachandran, K. 13 2016 Analysis of stochastic diffusive predator prey model with hyperbolic mortality rate. Zbl 1349.92132 Suvinthra, M.; Balachandran, K.; Sambath, M. 11 2016 Relative controllability of nonlinear neutral fractional integro-differential systems with distributed delays in control. Zbl 1331.93018 Balachandran, Krishnan; Divya, Shanmugam; Rodríguez-Germá, Luis; Trujillo, Juan J. 9 2016 Relative controllability of nonlinear neutral fractional Volterra integrodifferential systems with multiple delays in control. Zbl 1349.93064 Balachandran, K.; Divya, S. 8 2016 Controllability of nonlinear implicit neutral fractional Volterra integrodifferential systems. Zbl 1366.34105 Balachandran, K.; Divya, S.; Rivero, M.; Trujillo, J. J. 6 2016 Phase portraits, Hopf bifurcations and limit cycles of the ratio dependent Holling-Tanner models for predator-prey interactions. Zbl 1349.92130 Sivakumar, M.; Balachandran, K. 3 2016 Controllability of fractional nonlinear systems in Banach spaces. Zbl 1356.34017 Nirmala, R. Joice; Balachandran, K. 3 2016 Laplace Adomian decomposition method for solving a fish farm model. Zbl 1350.65076 Sambath, M.; Balachandran, K. 2 2016 Existence results for abstract impulsive damped second order neutral functional differential equations. Zbl 1361.34087 Annapoorani, N.; Balachandran, K.; Kim, J. K. 1 2016 Blow up of solutions of nonlinear parabolic system with variable exponents. Zbl 1377.35146 Gurusamy, A.; Shangerganesh, L.; Balachandran, K. 1 2016 Global existence and blowup of solutions of two species chemotaxis model. Zbl 1356.92012 Bhuvaneswari, V.; Balachandran, K. 1 2016 Controllability of fractional damped dynamical systems. Zbl 1338.93069 Balachandran, K.; Govindaraj, V.; Rivero, M.; Trujillo, J. J. 32 2015 Controllability of nonlinear stochastic systems with multiple time-varying delays in control. Zbl 1322.93020 Karthikeyan, Shanmugasundaram; Balachandran, Krishnan; Sathya, Murugesan 13 2015 Global existence and blow up of solutions of quasilinear chemotaxis system. Zbl 1375.35006 Bhuvaneswari, Venkatasubramaniam; Shangerganesh, Lingeshwaran; Balachandran, Krishnan 12 2015 Bifurcations in a diffusive predator-prey model with predator saturation and competition response. Zbl 1310.35031 Sambath, M.; Balachandran, K. 7 2015 Stability and Hopf bifurcation analysis of a diffusive predator-prey model with Smith growth. Zbl 1305.92061 Sivakumar, M.; Sambath, M.; Balachandran, K. 5 2015 Parameter identification of an integrodifferential equation. Zbl 1321.35259 Karuppiah, K.; Kim, J. K.; Balachandran, K. 5 2015 Bifurcation analysis of a diffusive predator-prey model with Beddington-DeAngelis response. Zbl 1332.35174 Sambath, Muniyagounder; Balachandran, Krishnan 3 2015 Large deviations for stochastic differential equations with deviating arguments. Zbl 1336.60116 Suvinthra, M.; Balachandran, K.; Kim, J. K. 3 2015 Influence of diffusion on bio-chemical reaction of the morphogenesis process. Zbl 1320.92042 Sambath, M.; Balachandran, K. 2 2015 Controllability of second-order impulsive evolution systems with infinite delay. Zbl 1291.93033 Arthi, G.; Balachandran, K. 27 2014 Numerical controllability of fractional dynamical systems. Zbl 1292.93023 Balachandran, Krishnan; Govindaraj, Venkatesan 20 2014 Existence and uniqueness of solutions of degenerate chemotaxis system. Zbl 1357.35267 Shangerganesh, L.; Balan, N. Barani; Balachandran, K. 13 2014 Controllability of nonlinear implicit fractional integrodifferential systems. Zbl 1309.93025 Balachandran, Krishnan; Divya, Shanmugam 12 2014 Solvability of reaction – diffusion model with variable exponents. Zbl 1294.35179 Shangerganesh, Lingeshwaran; Balachandran, Krishnan 11 2014 Stabilizability of fractional dynamical systems. Zbl 1303.93034 Balachandran, Krishnan; Govindaraj, Venkatesan; Rodríguez-Germá, Luis; Trujillo, Juan J. 11 2014 Controllability of non-linear implicit fractional dynamical systems. Zbl 1304.34005 Balachandran, K.; Kokila, J. 6 2014 Existence of solutions for quasi-linear impulsive functional integrodifferential equations in Banach spaces. Zbl 1305.34131 Samuel, Francis Paul; Balachandran, Krishnan 5 2014 Weak-renormalized solutions for three species competition model in ecology. Zbl 1375.35580 Shangerganesh, Lingeshwaran; Balan, Natesan Barani; Balachandran, Krishnan 4 2014 Controllability results for fractional integrodifferential systems in Banach spaces. Zbl 1315.93019 Radhakrishnan, Bheeman; Balachandran, Krishnan; Anukokila, Paraman 4 2014 Analysis of solutions of time fractional telegraph equation. Zbl 1515.35321 Nirmala, R. Joice; Balachandran, K. 4 2014 Existence results for neutral fractional integrodifferential equations with fractional integral boundary conditions. Zbl 1304.34132 Akiladevi, K. Shri; Balachandran, K.; Kim, J. K. 2 2014 On a class of \(\gamma^\ast\)-pre-open sets in topological spaces. Zbl 1302.54002 Krishnan, G. Sai Sundara; Saravanakumar, D.; Ganster, M.; Balachandran, K. 2 2014 Controllability of stochastic impulsive neutral integrodifferential systems with infinite delay. Zbl 1413.93009 Sathya, R.; Balachandran, K. 1 2014 Existence of solutions for impulsive quasilinear mixed Volterra-Fredholm type integrodifferential equations. Zbl 1317.45005 Samuel, F. Paul; Balachandran, K.; Gunasekar, T. 1 2014 Existence of solutions of nonlinear fractional pantograph equations. Zbl 1299.34009 Balachandran, K.; Kiruthika, S.; Trujillo, J. J. 52 2013 Controllability results for nonlinear fractional-order dynamical systems. Zbl 1263.93029 Balachandran, K.; Govindaraj, V.; Rodríguez-Germa, L.; Trujillo, J. J. 36 2013 Existence results for abstract fractional differential equations with nonlocal conditions via resolvent operators. Zbl 1254.34011 Hernández, Eduardo; O’Regan, Donal; Balachandran, Krishnan 30 2013 Controllability of nonlinear higher order fractional dynamical systems. Zbl 1268.34007 Balachandran, K.; Govindaraj, V.; Rodríguez-Germá, L.; Trujillo, J. J. 21 2013 Constrained controllability of fractional dynamical systems. Zbl 1279.93021 Balachandran, K.; Kokila, J. 17 2013 Stability and Hopf bifurcation of a diffusive predator-prey model with predator saturation and competition. Zbl 1284.35229 Sambath, M.; Gnanavel, S.; Balachandran, K. 14 2013 Controllability results for damped second-order impulsive neutral integrodifferential systems with nonlocal conditions. Zbl 1299.93027 Arthi, Ganesan; Balachandran, Krishnan 13 2013 On controllability for a class of stochastic impulsive systems with delays in control. Zbl 1307.93069 Karthikeyan, S.; Balachandran, K. 10 2013 Solutions of system of fractional partial differential equations. Zbl 1302.35409 Parthiban, V.; Balachandran, K. 10 2013 Weak-renormalized solutions for predator-prey system. Zbl 1263.35135 Shangerganesh, L.; Balan, N. Barani; Balachandran, K. 10 2013 Spatiotemporal dynamics of a predator-prey model incorporating a prey refuge. Zbl 1300.92089 Sambath, M.; Balachandran, K. 9 2013 Observability of nonlinear fractional dynamical systems. Zbl 1295.34008 Balachandran, K.; Govindaraj, V.; Rivero, M.; Machado, J. A. Tenreiro; Trujillo, J. J. 6 2013 Renormalized and entropy solutions of nonlinear parabolic systems. Zbl 1288.35290 Shangerganesh, Lingeshwaran; Balachandran, Krishnan 5 2013 Comments on some recent results on controllability of abstract differential problems. Zbl 1277.93016 Hernández, Eduardo; O’Regan, Donal; Balachandran, Krishnan 4 2013 ...and 259 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,113 Authors 180 Balachandran, Krishnan 48 Wang, Jinrong 37 Ntouyas, Sotiris K. 36 Zhou, Yong 31 Sukavanam, Nagarajan 30 Trujillo, Juan J. 29 Ahmad, Bashir 29 Benchohra, Mouffak 24 Gou, Haide 24 Mahmudov, Nazim Idrisoglu 24 Vijayakumar, Velusamy 23 Pandey, Dwijendra Narain 22 Balasubramaniam, Pagavathigounder 22 Shah, Kamal 22 Yan, Zuomao 21 Băleanu, Dumitru I. 21 Dauer, Jerald P. 20 O’Regan, Donal 20 Sakthivel, Rathinasamy 20 Shukla, Anurag 19 Hernández, Eduardo M. 18 Murugesan, K. 18 Park, Jong Yeoul 17 Fu, Xianlong 17 Li, Yongxiang 16 Agarwal, Ravi P. 16 Shangerganesh, Lingeshwaran 15 Fečkan, Michal 15 Radhakrishnan, Bheeman 14 Annapoorani, Natarajan 14 Chang, Yong-Kui 14 Ezzinbi, Khalil 14 Henríquez, Hernán R. 14 Karthikeyan, Shanmugasundaram 14 Noiri, Takashi 14 Zada, Akbar 13 Abdeljawad, Thabet 13 Ahmed, Hamdy M. 13 Ezzati, Reza 13 Liu, Zhenhai 13 Sooppy Nisar, Kottakkaran 13 Ziari, Shokrollah 12 Al-saedi, Ahmed Eid Salem 12 Anguraj, Annamalai 12 Arthi, Ganesan 12 Diop, Mamadou Abdoul 12 Govindaraj, Venkatesan 12 Wang, Guotao 11 Bahuguna, Dhirendra 11 Debbouche, Amar 11 Kim, Jeong-Hoon 11 Kucche, Kishor D. 11 Li, Baolin 11 Nieto Roig, Juan Jose 11 Sakthivel, Kumarasamy 11 Udhayakumar, Ramalingam 11 Vanterler da Costa Sousa, José 11 Zhang, Lihong 10 Anthoni, Selvaraj Marshal 10 Chadha, Alka 10 Chalishajar, Dimplekumar N. 10 Khan, Rahmat Ali 9 Li, Fang 9 Malik, Muslim 9 Mohan, Manil Thankamani 9 Suvinthra, Murugan 8 Arjunan, Mani Mallika 8 Bica, Alexandru Mihai 8 Dabas, Jaydev 8 Dhakne, Machindra Baburao 8 Karthikeyan, Kulandhivel 8 Kumar, Avadhesh 8 Kvitko, Aleksandr Nikolaevich 8 Leiva, Hugo 8 Rathinasamy, Anandaraman 8 Razzaghi, Mohsen 8 Wei, Wei 7 Dhayabaran, D. 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