Edit Profile (opens in new tab) Balachandran, Krishnan Compute Distance To: Compute Author ID: balachandran.krishnan Published as: Balachandran, K.; Balachandran, Krishnan; Krishnan, Balachandran Homepage: https://www.linkedin.com/in/balachandran-krishnan-7273a74b External Links: MGP · dblp Documents Indexed: 434 Publications since 1983, including 1 Book Reviewing Activity: 150 Reviews Co-Authors: 125 Co-Authors with 381 Joint Publications 1,811 Co-Co-Authors all top 5 Co-Authors 30 single-authored 33 Dauer, Jerald P. 21 Trujillo, Juan J. 20 Park, Jong Yeoul 18 Annapoorani, Natarajan 17 Kim, Jeong-Hoon 15 Balasubramaniam, Pagavathigounder 15 Sakthivel, Kumarasamy 14 Sambath, Muniyagounder 13 Kim, Jong Kyu 12 Maki, Haruo 11 Anthoni, Selvaraj Marshal 11 Ilamaran, S. 11 Karthikeyan, Shanmugasundaram 10 Anguraj, Annamalai 10 Shangerganesh, Lingeshwaran 9 Arthi, Ganesan 9 Barani Balan, Natesan 9 Sakthivel, Rathinasamy 9 Somasundaram, D. D. 8 Govindaraj, Venkatesan 8 Kiruthika, S. 8 Radhakrishnan, Bheeman 8 Suvinthra, Murugan 7 Kokila, Jayakumar 7 Lizzy, Rajendran Mabel 7 Samuel, Francis Paul 6 Anandhi, E. Radhakrishnan 6 Bhuvaneswari, Venkatasubramaniam 6 Chandrasekaran, Mariappan 6 Gnanavel, Soundararajan 6 Murugesan, K. 6 Park, Dong-Gun 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 Sai Sundara Krishnan, G. 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 Gurusamy, Arumugam 3 Joice Nirmala, Rajagopal 3 Karunanithi, Subbarayan 3 O’Regan, Donal 3 Sowrirajan, Rangarajan 3 Subalakshmi, Ravikumar 3 Sumathy, K. 3 Uchiyama, Kôichi 3 Umamaheswari, P. 2 Akiladevi, K. Shri 2 Arokiarani, I. 2 Dinakar, Varadharaj 2 Dontchev, Julian 2 Gnanambal, Y. 2 Janaki, C. 2 Jung, Il Hyo 2 Kamalapriya, B. 2 Karuppiah, K. 2 Kwun, Young Chel 2 Ma, Yong-Ki 2 Manimegalai, P. 2 Sathya, Murugesan 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 Gokila, C. 1 Gopal, Thangaraj Nandha 1 Guin, Lakshmi Narayan 1 Gunasekar, T. 1 Haseena, A. 1 Ilango, Gnanambal 1 Karunanidhi, S. 1 Kausika, C. 1 Kumar, Pitchaikkannu Suresh 1 Kumar, Rajagounder Ravi 1 Kuo, Hui-Hsiung 1 Kurian, Jeenu 1 Lalitha, Doraiswamy 1 Lingeshwaran, Shangerganesh ...and 25 more Co-Authors all top 5 Serials 26 Nonlinear Functional Analysis and Applications 19 Indian Journal of Pure & Applied Mathematics 19 Kybernetika 17 Journal of Applied Mathematics and Stochastic Analysis 14 Nonlinear Analysis. Hybrid Systems 14 Journal of Applied Nonlinear Dynamics 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) 8 Tamkang Journal of Mathematics 8 Discontinuity, Nonlinearity, and Complexity 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 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 Kochi Journal of Mathematics 3 International Journal of Biomathematics 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 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 Journal of Inverse and Ill-Posed Problems 1 Nonlinear Studies 1 Journal of Vibration and Control 1 Nonlinear Dynamics 1 Abstract and Applied Analysis 1 Far East Journal of Applied Mathematics 1 Scientiae Mathematicae 1 The Korean Journal of Computational & Applied Mathematics ...and 18 more Serials all top 5 Fields 192 Systems theory; control (93-XX) 160 Ordinary differential equations (34-XX) 99 Operator theory (47-XX) 98 Integral equations (45-XX) 57 Partial differential equations (35-XX) 39 Biology and other natural sciences (92-XX) 35 Probability theory and stochastic processes (60-XX) 31 General topology (54-XX) 22 Real functions (26-XX) 19 Calculus of variations and optimal control; optimization (49-XX) 15 Numerical analysis (65-XX) 6 Dynamical systems and ergodic theory (37-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Integral transforms, operational calculus (44-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 Special functions (33-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 327 Publications have been cited 2,742 times in 1,491 Documents Cited by ▼ Year ▼ On recent developments in the theory of abstract differential equations with fractional derivatives. Zbl 1229.34004Hernández, Eduardo; O’Regan, Donal; Balachandran, Krishnan 109 2010 Controllability of nonlinear systems in Banach spaces: a survey. Zbl 1023.93010Balachandran, K.; Dauer, J. P. 101 2002 The nonlocal Cauchy problem for nonlinear fractional integrodifferential equations in Banach spaces. Zbl 1196.34007Balachandran, Krishnan; Trujillo, Juan J. 88 2010 Nonlocal Cauchy problem for abstract fractional semilinear evolution equations. Zbl 1213.34008Balachandran, K.; Park, J. Y. 62 2009 Existence results for fractional impulsive integrodifferential equations in Banach spaces. Zbl 1221.34215Balachandran, K.; Kiruthika, S.; Trujillo, J. J. 57 2011 Controllability of nonlinear systems via fixed-point theorems. Zbl 0596.93010Balachandran, K.; Dauer, J. P. 52 1987 Existence of solutions of abstract fractional impulsive semilinear evolution equations. Zbl 1201.34091Balachandran, K.; Kiruthika, S. 48 2010 Controllability of nonlinear fractional dynamical systems. Zbl 1277.34006Balachandran, K.; Park, J. Y.; Trujillo, J. J. 48 2012 Controllability of integrodifferential systems in Banach spaces. Zbl 1034.93005Balachandran, K.; Sakthivel, R. 46 2001 Controllability of fractional integrodifferential systems in Banach spaces. Zbl 1175.93028Balachandran, K.; Park, J. Y. 42 2009 On the controllability of fractional dynamical systems. Zbl 1302.93042Balachandran, Krishnan; Kokila, Jayakumar 36 2012 Existence of solutions of a delay differential equation with nonlocal condition. Zbl 0854.34065Balachandran, K.; Chandrasekaran, M. 33 1996 Existence of solutions of nonlinear fractional pantograph equations. Zbl 1299.34009Balachandran, K.; Kiruthika, S.; Trujillo, J. J. 33 2013 On fractional impulsive equations of Sobolev type with nonlocal condition in Banach spaces. Zbl 1228.34014Balachandran, K.; Kiruthika, S.; Trujillo, J. J. 33 2011 Controllability of nonlinear integrodifferential systems in Banach space. Zbl 0821.93010Balachandran, K.; Dauer, J. P.; Balasubramaniam, P. 32 1995 Controllability of functional semilinear integrodifferential systems in Banach spaces. Zbl 0982.93018Balachandran, K.; Sakthivel, R. 28 2001 Local null controllability of nonlinear functional differential systems in Banach space. Zbl 0848.93007Balachandran, K.; Balasubramaniam, P.; Dauer, J. P. 28 1996 Global exponential stability of neutral-type impulsive neural networks with discrete and distributed delays. Zbl 1179.93143Samidurai, R.; Marshal Anthoni, S.; Balachandran, K. 27 2010 Existence of solutions of nonlinear neutral integrodifferential equations in Banach spaces. Zbl 0966.45008Dauer, J. P.; Balachandran, K. 26 2000 Existence results for impulsive neutral functional integrodifferential equations with infinite delay. Zbl 1196.34105Park, J. Y.; Balachandran, K.; Annapoorani, N. 26 2009 Controllability results for nonlinear fractional-order dynamical systems. Zbl 1263.93029Balachandran, K.; Govindaraj, V.; Rodríguez-Germa, L.; Trujillo, J. J. 26 2013 Relative controllability of fractional dynamical systems with multiple delays in control. Zbl 1268.93021Balachandran, K.; Kokila, J.; Trujillo, J. J. 26 2012 Controllability of neutral functional integrodifferential systems in Banach spaces. Zbl 0982.93019Balachandran, K.; Sakthivel, R.; Dauer, J. P. 25 2000 Relative controllability of fractional dynamical systems with delays in control. Zbl 1248.93022Balachandran, K.; Zhou, Yong; Kokila, J. 23 2012 On generalized continuous maps in topological spaces. Zbl 0736.54005Balachandran, K.; Sundaram, P.; Maki, H. 22 1991 Controllability of fractional damped dynamical systems. Zbl 1338.93069Balachandran, K.; Govindaraj, V.; Rivero, M.; Trujillo, J. J. 21 2015 Existence results for abstract fractional differential equations with nonlocal conditions via resolvent operators. Zbl 1254.34011Hernández, Eduardo; O’Regan, Donal; Balachandran, Krishnan 21 2013 Existence of solutions of general nonlinear fuzzy Volterra-Fredholm integral equations. Zbl 1099.45005Balachandran, K.; Kanagarajan, K. 21 2005 Controllability of second-order impulsive evolution systems with infinite delay. Zbl 1291.93033Arthi, G.; Balachandran, K. 21 2014 Approximate controllability of nonlinear stochastic impulsive integrodifferential systems in Hilbert spaces. Zbl 1198.93053Subalakshmi, R.; Balachandran, K. 20 2009 Controllability of neutral evolution integrodifferential systems with state dependent delay. Zbl 1237.93029Radhakrishnan, B.; Balachandran, K. 20 2012 Associated topologies of generalized \(\alpha\)-closed sets and \(\alpha\)- generalized closed sets. Zbl 0821.54002Maki, H.; Devi, R.; Balachandran, K. 19 1994 Controllability of second-order semilinear neutral functional differential systems in Banach spaces. Zbl 0990.93007Balachandran, K.; Marshal Anthoni, S. 19 2001 Existence of solutions to neutral functional integrodifferential equations in Banach spaces. Zbl 0934.45012Balachandran, K.; Sakthivel, R. 19 1999 Relative controllability of fractional dynamical systems with distributed delays in control. Zbl 1268.93022Balachandran, K.; Zhou, Yong; Kokila, J. 18 2012 Controllability of nonlinear stochastic neutral impulsive systems. Zbl 1184.93018Karthikeyan, S.; Balachandran, K. 17 2009 Mean-square stability of Milstein method for linear hybrid stochastic delay integro-differential equations. Zbl 1163.93398Rathinasamy, A.; Balachandran, K. 17 2008 On a class of non-linear parabolic control systems with memory effects. Zbl 1152.93312Sakthivel, K.; Balachandran, K.; Nagaraj, B. R. 17 2008 Analysis of different systems via single-term Walsh series method. Zbl 0752.65056Balachandran, K.; Murugesan, K. 16 1990 Existence of solutions and controllability of nonlinear integro-differential systems in Banach spaces. Zbl 1074.34057Balachandran, K.; Park, J. Y. 16 2003 Existence of solutions of nonlinear fuzzy Volterra-Fredholm integral equations. Zbl 1005.45004Balachandran, K.; Prakash, P. 16 2002 Mean-square stability of second-order Runge-Kutta methods for multi-dimensional linear stochastic differential systems. Zbl 1148.65006Rathinasamy, A.; Balachandran, K. 16 2008 Controllability of nonlinear Itô type stochastic integrodifferential systems. Zbl 1151.93005Balachandran, K.; Karthikeyan, S. 16 2008 Controllability of nonlinear fractional delay dynamical systems. Zbl 1378.93022Nirmala, R. Joice; Balachandran, K.; Rodríguez-Germa, L.; Trujillo, J. J. 15 2016 Controllability of Sobolev-type integrodifferential systems in Banach spaces. Zbl 0927.93015Balachandran, K.; Dauer, J. P. 15 1998 Analysis of electronic circuits using the single-term Walsh series approach. Zbl 0707.94026Balachandran, K.; Murugesan, K. 15 1990 Controllability of nonlinear higher order fractional dynamical systems. Zbl 1268.34007Balachandran, K.; Govindaraj, V.; Rodríguez-Germá, L.; Trujillo, J. J. 15 2013 Nonlocal Cauchy problem for delay integrodifferential equations of Sobolev type in Banach spaces. Zbl 1028.45006Balachandran, K.; Park, J. Y.; Chandrasekaran, M. 15 2002 Controllability of impulsive neutral functional evolution integrodifferential systems with infinite delay. Zbl 1227.93016Radhakrishnan, B.; Balachandran, K. 15 2011 Generalized \(\alpha\)-closed sets in topology. Zbl 0888.54005Maki, H.; Devi, R.; Balachandran, K. 14 1993 Inverse problem for the reaction diffusion system by optimization method. Zbl 1202.35352Sakthivel, K.; Gnanavel, S.; Balan, N. Barani; Balachandran, K. 14 2011 Existence of solutions to nonlinear integrodifferential equations of Sobolev type with nonlocal condition in Banach spaces. Zbl 0957.34058Balachandran, K.; Uchiyama, K. 13 2000 Existence and uniqueness of mild and strong solutions of a semilinear evolution equation with nonlocal conditions. Zbl 0808.47047Balachandran, K.; Ilamaran, S. 13 1994 Controllability of neutral functional integrodifferential infinite delay systems in Banach spaces. Zbl 1072.93004Balachandran, K.; Anandhi, E. R. 13 2004 Exact controllability of nonlinear diffusion equations arising in reactor dynamics. Zbl 1156.93321Sakthivel, K.; Balachandran, K.; Sritharan, S. S. 13 2008 Existence results for impulsive neutral evolution integrodifferential equations with infinite delay. Zbl 1179.45019Balachandran, K.; Annapoorani, N. 13 2009 Stability and Hopf bifurcation of a diffusive predator-prey model with predator saturation and competition. Zbl 1284.35229Sambath, M.; Gnanavel, S.; Balachandran, K. 13 2013 Numerical controllability of fractional dynamical systems. Zbl 1292.93023Balachandran, Krishnan; Govindaraj, Venkatesan 13 2014 Existence results for fractional integrodifferential equations with nonlocal condition via resolvent operators. Zbl 1228.34013Balachandran, K.; Kiruthika, S. 12 2011 Existence of solutions of abstract fractional integrodifferential equations of Sobolev type. Zbl 1268.34151Balachandran, K.; Kiruthika, S. 12 2012 Analysis of nonlinear singular systems via STWS method. Zbl 0725.65073Balachandran, K.; Murugesan, K. 12 1990 Controllability results for semilinear impulsive integrodifferential evolution systems with nonlocal conditions. Zbl 1265.93023Radhakrishnan, Bheeman; Balachandran, Krishnan 12 2012 Remarks on the paper “Controllability of second order differential inclusion in Banach spaces” by J. R. Kang, Y. C. Kwun, J. Y. Park. Zbl 1116.93019Balachandran, K.; Kim, J.-H. 12 2006 Existence of solutions to second-order neutral functional-differential equations. Zbl 0998.34066Balachandran, K.; Marshal Anthoni, S. 11 1999 Controllability of impulsive neutral integrodifferential systems with infinite delay in Banach spaces. Zbl 1184.93020Park, J. Y.; Balachandran, K.; Arthi, G. 11 2009 Mean square stability of semi-implicit Euler method for linear stochastic differential equations with multiple delays and Markovian switching. Zbl 1159.65011Rathinasamy, A.; Balachandran, K. 11 2008 Boundary controllability of Sobolev-type abstract nonlinear integrodifferential systems. Zbl 1017.93017Balachandran, K.; Anandhi, E. R.; Dauer, J. P. 11 2003 Controllability of damped second-order neutral functional differential systems with impulses. Zbl 1235.93042Arthi, G.; Balachandran, K. 11 2012 Existence and uniqueness of solutions of degenerate chemotaxis system. Zbl 1357.35267Shangerganesh, L.; Balan, N. Barani; Balachandran, K. 11 2014 Spatiotemporal patterns in a predator-prey model with cross-diffusion effect. Zbl 1388.35009Sambath, M.; Balachandran, K.; Guin, L. N. 11 2018 Controllability of semilinear stochastic integrodifferential systems. Zbl 1137.93010Balachandran, K.; Karthikeyan, S.; Kim, J.-H. 11 2007 Controllability of nonlinear stochastic systems with multiple time-varying delays in control. Zbl 1322.93020Karthikeyan, Shanmugasundaram; Balachandran, Krishnan; Sathya, Murugesan 10 2015 Optimal control of singular systems via single-term Walsh series. Zbl 0767.49015Balachandran, K.; Murugesan, K. 10 1992 Controllability of second order semilinear Volterra integrodifferential systems in Banach spaces. Zbl 0935.93013Balachandran, K.; Park, J. Y.; Marshal Anthoni, S. 10 1999 Controllability of stochastic integrodifferential systems. Zbl 1120.93012Balachandran, K.; Karthikeyan, S. 10 2007 Controllability of damped second-order impulsive neutral functional differential systems with infinite delay. Zbl 1237.93023Arthi, G.; Balachandran, K. 10 2012 Weak-renormalized solutions for predator-prey system. Zbl 1263.35135Shangerganesh, L.; Balan, N. Barani; Balachandran, K. 10 2013 Controllability of nonlinear implicit fractional integrodifferential systems. Zbl 1309.93025Balachandran, Krishnan; Divya, Shanmugam 10 2014 Constrained controllability of fractional dynamical systems. Zbl 1279.93021Balachandran, K.; Kokila, J. 10 2013 Delay-dependent global asymptotic stability criteria for genetic regulatory networks with time delays in the leakage term. Zbl 1262.34097Rakkiyappan, R.; Balasubramaniam, P.; Balachandran, K. 10 2011 Controllability of second-order integrodifferential evolution systems in Banach spaces. Zbl 1127.93013Balachandran, K.; Park, D. G.; Manimegalai, P. 10 2005 Existence of solutions of abstract nonlinear second-order neutral functional integrodifferential equations. Zbl 1054.45006Balachandran, K.; Park, D. G.; Marshal Anthoni, S. 10 2003 Global relative controllability of nonlinear systems with time-varying multiple delays in control. Zbl 0629.93010Balachandran, Krishnan 10 1987 Single-term Walsh series approach to singular systems. Zbl 0634.93034Palanisamy, K. R.; Balachandran, K. 10 1987 Analysis of stochastic diffusive predator prey model with hyperbolic mortality rate. Zbl 1349.92132Suvinthra, M.; Balachandran, K.; Sambath, M. 9 2016 Controllability of perturbed nonlinear delay systems. Zbl 0614.93011Balachandran, K.; Dauer, J. P. 9 1987 Global and local controllability of nonlinear systems. Zbl 0554.93012Balachandran, K. 9 1985 Controllability of Sobolev-type semilinear integrodifferential systems in Banach spaces. Zbl 0951.93008Balachandran, K.; Sakthivel, R. 9 1999 Boundary controllability of integrodifferential systems in Banach spaces. Zbl 0982.93017Balachandran, K.; Anandhi, E. R. 9 2001 Numerical solution of a singular nonlinear system from fluid dynamics. Zbl 0721.76064Balachandran, K.; Murugesan, K. 9 1991 Solutions of system of fractional partial differential equations. Zbl 1302.35409Parthiban, V.; Balachandran, K. 9 2013 Controllability of neutral functional evolution integrodifferential systems with infinite delay. Zbl 1146.93006Balachandran, K.; Leelamani, A.; Kim, J.-H. 9 2008 Existence and uniqueness of solutions of predator-prey type model with mixed boundary conditions. Zbl 1233.35121Shangerganesh, L.; Balachandran, K. 9 2011 Controllability results for damped second-order impulsive neutral integrodifferential systems with nonlocal conditions. Zbl 1299.93027Arthi, Ganesan; Balachandran, Krishnan 9 2013 Solvability of reaction – diffusion model with variable exponents. Zbl 1294.35179Shangerganesh, Lingeshwaran; Balachandran, Krishnan 9 2014 Global existence and blow up of solutions of quasilinear chemotaxis system. Zbl 1375.35006Bhuvaneswari, Venkatasubramaniam; Shangerganesh, Lingeshwaran; Balachandran, Krishnan 9 2015 Controllability of nonlinear stochastic fractional systems with Lévy noise. Zbl 1377.93046Lizzy, R. Mabel; Balachandran, K.; Suvinthra, M. 8 2017 Controllability of a class of nonlinear systems with distributed delays in control. Zbl 0528.93012Balachandran, K.; Somasundaram, D. 8 1983 Controllability of nonlinear systems consisting of a bilinear mode with distributed delays in control. Zbl 0542.93008Somasundaram, D.; Balachandran, K. 8 1984 Semi-generalized closed maps and generalized semi-closed maps. Zbl 0787.54015Devi, R.; Maki, H.; Balachandran, K. 8 1993 Existence of weak solutions to the Keller-Segel chemotaxis system with additional cross-diffusion. Zbl 1436.35005Arumugam, Gurusamy; Erhardt, André H.; Eswaramoorthy, Indurekha; Krishnan, Balachandran 2 2020 Lower bound of blow up time for three species cooperating model. Zbl 1472.92171Bhuvaneswari, V.; Balachandran, K. 1 2020 Analysis of stochastic predator-prey model with disease in the prey and Holling type II functional response. Zbl 1482.34124Gokila, C.; Sambath, M.; Balachandran, K.; Ma, Yong-Ki 1 2020 On fractional partial differential equations of diffusion type with integral kernel. Zbl 1467.35330Akilandeeswari, A.; Balachandran, K.; Annapoorani, N. 1 2020 Spatial pattern of ratio-dependent predator-prey model with prey harvesting and cross-diffusion. Zbl 1411.35259Sivasamy, R.; Sivakumar, M.; Balachandran, K.; Sathiyanathan, K. 3 2019 Dynamics of modified Leslie-Gower harvested predator-prey model with Beddington-De Angelis functional response. Zbl 1418.37084Sivasamy, R.; Sivakumar, M.; Sathiyanathan, K.; Balachandran, K. 2 2019 Dynamics of a modified Leslie-Gower model with Crowley-Martin functional response and prey harvesting. Zbl 1478.92168Sivasamy, R.; Sathiyanathan, K.; Balachandran, K. 2 2019 Nonlocal Cauchy problem for second order functional differential equations and fractional differential equations. Zbl 1460.34075Balachandran, K.; Byszewski, L.; Kim, J. K. 1 2019 Spatiotemporal patterns in a predator-prey model with cross-diffusion effect. Zbl 1388.35009Sambath, M.; Balachandran, K.; Guin, L. N. 11 2018 Asymptotic behavior of the fractional order three species prey-predator model. Zbl 1461.92098Sambath, M.; Ramesh, P.; Balachandran, K. 5 2018 Controllability of nonlinear fractional Langevin delay systems. Zbl 1416.93031Kumar, Pitchaikkannu Suresh; Balachandran, Krishnan; Annapoorani, Natarajan 3 2018 Numerical approach for the controllability of composite fractional dynamical systems. Zbl 1391.93037Govindaraj, Venkatesan; Balachandran, Krishnan; George, Raju K. 1 2018 Boundary controllability of nonlinear stochastic fractional systems in Hilbert spaces. Zbl 1396.93023Lizzy, Rajendran Mabel; Balachandran, Krishnan 1 2018 Existence of solutions of stochastic fractional integrodifferential equations. Zbl 1398.45006Umamaheswari, P.; Balachandran, K.; Annapoorani, N. 1 2018 Controllability of nonlinear stochastic fractional systems with Lévy noise. Zbl 1377.93046Lizzy, R. Mabel; Balachandran, K.; Suvinthra, M. 8 2017 Bifurcation and spatiotemporal patterns of a density-dependent predator-prey model with Crowley-Martin functional response. Zbl 1376.92051Sivakumar, M.; Balachandran, K.; Karuppiah, K. 7 2017 Weak solutions for nonlinear parabolic equations with variable exponents. Zbl 1391.35208Shangerganesh, Lingeshwaran; Gurusamy, Arumugam; Balachandran, Krishnan 6 2017 Controllability of nonlinear fractional delay dynamical systems with multiple delays in control. Zbl 1425.93037Balachandran, Krishnan 4 2017 Controllability of nonlinear neutral fractional integrodifferential systems with infinite delay. Zbl 1377.93041Balachandran, K.; Divya, S. 3 2017 Controllability of nonlinear stochastic neutral fractional dynamical systems. Zbl 1416.93035Rajendran, Mabel Lizzy; Balachandran, Krishnan; Trujillo, Juan J. 3 2017 The controllability of nonlinear implicit fractional delay dynamical systems. Zbl 1373.93065Joice Nirmala, Rajagopal; Balachandran, Krishnan 3 2017 Exsistence results for fractional integrodifferential equations. Zbl 1377.60072Kamalapriya, B.; Balachandran, K.; Annapoorani, N. 3 2017 Controllability of nonlinear stochastic fractional neutral systems with multiple time varying delays in control. Zbl 1374.93051Lizzy, R. Mabel; Balachandran, Krishnan; Trujillo, Juan J. 3 2017 Null controllability of fractional dynamical systems with constrained control. Zbl 1364.93065Joice Nirmala, Rajagopal; Balachandran, Krishnan; Trujillo, Juan J. 3 2017 Large deviations for the stochastic predator-prey model with nonlinear functional response. Zbl 1398.92222Suvinthra, M.; Balachandran, K. 2 2017 Bifurcation and stability analysis of a diffusive predator-prey model with ratio-dependent type III functional response. Zbl 1377.37118Sivakumar, M.; Balachandran, K. 1 2017 On fractional delay integrodifferential equations with four-point multiterm fractional integral boundary conditions. Zbl 1424.45015Shri Akiladevi, K.; Balachandran, K. 1 2017 On the solution of stochastic fractional integrodifferential equations. Zbl 1381.45031Umamaheswari, P.; Balachandran, K.; Annapoorani, N. 1 2017 On the solutions of partial integrodifferential equations of fractional order. Zbl 1360.45008Akilandeeswari, 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 1427.35351Dinakar, Varadharaj; Balan, Natesan Barani; Balachandran, Krishnan 1 2017 Large deviations for stochastic fractional integrodifferential equations. Zbl 1474.45102Suvinthra, Murugan; Balachandran, Krishnan; Lizzy, Rajendran Mabel 1 2017 Solvability of hyperbolic fractional partial differential equations. Zbl 1448.35535Akilandeeswari, Aruchamy; Balachandran, Krishnan; Annapoorani, Natarajan 1 2017 Existence of solutions of fractional partial integrodifferential equations with Neumann boundary condition. Zbl 1386.45008Akilandeeswari, A.; Balachandran, K.; Annapoorani, N. 1 2017 Relative controllability of nonlinear fractional delay integrodifferential systems with multiple delays in control. Zbl 1424.93019Joice Nirmala, Rajagopal; Balachandran, Krishnan 1 2017 Large deviations for nonlinear Itô type stochastic integrodifferential equations. Zbl 1365.45006Suvinthra, M.; Balachandran, K. 1 2017 Controllability of nonlinear fractional delay dynamical systems. Zbl 1378.93022Nirmala, R. Joice; Balachandran, K.; Rodríguez-Germa, L.; Trujillo, J. J. 15 2016 Analysis of stochastic diffusive predator prey model with hyperbolic mortality rate. Zbl 1349.92132Suvinthra, M.; Balachandran, K.; Sambath, M. 9 2016 Relative controllability of nonlinear neutral fractional integro-differential systems with distributed delays in control. Zbl 1331.93018Balachandran, Krishnan; Divya, Shanmugam; Rodríguez-Germá, Luis; Trujillo, Juan J. 6 2016 Controllability of nonlinear implicit neutral fractional Volterra integrodifferential systems. Zbl 1366.34105Balachandran, K.; Divya, S.; Rivero, M.; Trujillo, J. J. 3 2016 Relative controllability of nonlinear neutral fractional Volterra integrodifferential systems with multiple delays in control. Zbl 1349.93064Balachandran, K.; Divya, S. 2 2016 Controllability of nonlinear fractional delay integrodifferential systems. Zbl 1341.93014Nirmala, R. Joice; Balachandran, K. 2 2016 Phase portraits, Hopf bifurcations and limit cycles of the ratio dependent Holling-Tanner models for predator-prey interactions. Zbl 1349.92130Sivakumar, M.; Balachandran, K. 1 2016 Laplace Adomian decomposition method for solving a fish farm model. Zbl 1350.65076Sambath, M.; Balachandran, K. 1 2016 Existence results for abstract impulsive damped second order neutral functional differential equations. Zbl 1361.34087Annapoorani, N.; Balachandran, K.; Kim, J. K. 1 2016 Controllability of fractional damped dynamical systems. Zbl 1338.93069Balachandran, K.; Govindaraj, V.; Rivero, M.; Trujillo, J. J. 21 2015 Controllability of nonlinear stochastic systems with multiple time-varying delays in control. Zbl 1322.93020Karthikeyan, Shanmugasundaram; Balachandran, Krishnan; Sathya, Murugesan 10 2015 Global existence and blow up of solutions of quasilinear chemotaxis system. Zbl 1375.35006Bhuvaneswari, Venkatasubramaniam; Shangerganesh, Lingeshwaran; Balachandran, Krishnan 9 2015 Stability and Hopf bifurcation analysis of a diffusive predator-prey model with Smith growth. Zbl 1305.92061Sivakumar, M.; Sambath, M.; Balachandran, K. 5 2015 Bifurcations in a diffusive predator-prey model with predator saturation and competition response. Zbl 1310.35031Sambath, M.; Balachandran, K. 5 2015 Influence of diffusion on bio-chemical reaction of the morphogenesis process. Zbl 1320.92042Sambath, M.; Balachandran, K. 2 2015 Parameter identification of an integrodifferential equation. Zbl 1321.35259Karuppiah, K.; Kim, J. K.; Balachandran, K. 2 2015 Bifurcation analysis of a diffusive predator-prey model with Beddington-DeAngelis response. Zbl 1332.35174Sambath, Muniyagounder; Balachandran, Krishnan 2 2015 Large deviations for stochastic differential equations with deviating arguments. Zbl 1336.60116Suvinthra, M.; Balachandran, K.; Kim, J. K. 1 2015 Controllability of second-order impulsive evolution systems with infinite delay. Zbl 1291.93033Arthi, G.; Balachandran, K. 21 2014 Numerical controllability of fractional dynamical systems. Zbl 1292.93023Balachandran, Krishnan; Govindaraj, Venkatesan 13 2014 Existence and uniqueness of solutions of degenerate chemotaxis system. Zbl 1357.35267Shangerganesh, L.; Balan, N. Barani; Balachandran, K. 11 2014 Controllability of nonlinear implicit fractional integrodifferential systems. Zbl 1309.93025Balachandran, Krishnan; Divya, Shanmugam 10 2014 Solvability of reaction – diffusion model with variable exponents. Zbl 1294.35179Shangerganesh, Lingeshwaran; Balachandran, Krishnan 9 2014 Stabilizability of fractional dynamical systems. Zbl 1303.93034Balachandran, Krishnan; Govindaraj, Venkatesan; Rodríguez-Germá, Luis; Trujillo, Juan J. 6 2014 Weak-renormalized solutions for three species competition model in ecology. Zbl 1375.35580Shangerganesh, Lingeshwaran; Balan, Natesan Barani; Balachandran, Krishnan 4 2014 Controllability results for fractional integrodifferential systems in Banach spaces. Zbl 1315.93019Radhakrishnan, Bheeman; Balachandran, Krishnan; Anukokila, Paraman 4 2014 Analysis of solutions of time fractional telegraph equation. Zbl 06450439Nirmala, R. Joice; Balachandran, K. 4 2014 Controllability of non-linear implicit fractional dynamical systems. Zbl 1304.34005Balachandran, K.; Kokila, J. 4 2014 Existence of solutions for quasi-linear impulsive functional integrodifferential equations in Banach spaces. Zbl 1305.34131Samuel, Francis Paul; Balachandran, Krishnan 4 2014 Existence results for neutral fractional integrodifferential equations with fractional integral boundary conditions. Zbl 1304.34132Akiladevi, K. Shri; Balachandran, K.; Kim, J. K. 2 2014 On a class of \(\gamma^\ast\)-pre-open sets in topological spaces. Zbl 1302.54002Krishnan, G. Sai Sundara; Saravanakumar, D.; Ganster, M.; Balachandran, K. 1 2014 Existence of solutions for impulsive quasilinear mixed Volterra-Fredholm type integrodifferential equations. Zbl 1317.45005Samuel, F. Paul; Balachandran, K.; Gunasekar, T. 1 2014 Existence of solutions of nonlinear fractional pantograph equations. Zbl 1299.34009Balachandran, K.; Kiruthika, S.; Trujillo, J. J. 33 2013 Controllability results for nonlinear fractional-order dynamical systems. Zbl 1263.93029Balachandran, K.; Govindaraj, V.; Rodríguez-Germa, L.; Trujillo, J. J. 26 2013 Existence results for abstract fractional differential equations with nonlocal conditions via resolvent operators. Zbl 1254.34011Hernández, Eduardo; O’Regan, Donal; Balachandran, Krishnan 21 2013 Controllability of nonlinear higher order fractional dynamical systems. Zbl 1268.34007Balachandran, K.; Govindaraj, V.; Rodríguez-Germá, L.; Trujillo, J. J. 15 2013 Stability and Hopf bifurcation of a diffusive predator-prey model with predator saturation and competition. Zbl 1284.35229Sambath, M.; Gnanavel, S.; Balachandran, K. 13 2013 Weak-renormalized solutions for predator-prey system. Zbl 1263.35135Shangerganesh, L.; Balan, N. Barani; Balachandran, K. 10 2013 Constrained controllability of fractional dynamical systems. Zbl 1279.93021Balachandran, K.; Kokila, J. 10 2013 Solutions of system of fractional partial differential equations. Zbl 1302.35409Parthiban, V.; Balachandran, K. 9 2013 Controllability results for damped second-order impulsive neutral integrodifferential systems with nonlocal conditions. Zbl 1299.93027Arthi, Ganesan; Balachandran, Krishnan 9 2013 On controllability for a class of stochastic impulsive systems with delays in control. Zbl 1307.93069Karthikeyan, S.; Balachandran, K. 8 2013 Spatiotemporal dynamics of a predator-prey model incorporating a prey refuge. Zbl 1300.92089Sambath, M.; Balachandran, K. 8 2013 Observability of nonlinear fractional dynamical systems. Zbl 1295.34008Balachandran, K.; Govindaraj, V.; Rivero, M.; Machado, J. A. Tenreiro; Trujillo, J. J. 6 2013 Renormalized and entropy solutions of nonlinear parabolic systems. Zbl 1288.35290Shangerganesh, Lingeshwaran; Balachandran, Krishnan 5 2013 Comments on some recent results on controllability of abstract differential problems. Zbl 1277.93016Hernández, Eduardo; O’Regan, Donal; Balachandran, Krishnan 4 2013 Simultaneous identification of parameters and initial datum of reaction diffusion system by optimization method. Zbl 1438.49057Gnanavel, S.; Barani Balan, N.; Balachandran, K. 3 2013 Controllability of nonlinear fractional dynamical systems. Zbl 1277.34006Balachandran, K.; Park, J. Y.; Trujillo, J. J. 48 2012 On the controllability of fractional dynamical systems. Zbl 1302.93042Balachandran, Krishnan; Kokila, Jayakumar 36 2012 Relative controllability of fractional dynamical systems with multiple delays in control. Zbl 1268.93021Balachandran, K.; Kokila, J.; Trujillo, J. J. 26 2012 Relative controllability of fractional dynamical systems with delays in control. Zbl 1248.93022Balachandran, K.; Zhou, Yong; Kokila, J. 23 2012 Controllability of neutral evolution integrodifferential systems with state dependent delay. Zbl 1237.93029Radhakrishnan, B.; Balachandran, K. 20 2012 Relative controllability of fractional dynamical systems with distributed delays in control. Zbl 1268.93022Balachandran, K.; Zhou, Yong; Kokila, J. 18 2012 Existence of solutions of abstract fractional integrodifferential equations of Sobolev type. Zbl 1268.34151Balachandran, K.; Kiruthika, S. 12 2012 Controllability results for semilinear impulsive integrodifferential evolution systems with nonlocal conditions. Zbl 1265.93023Radhakrishnan, Bheeman; Balachandran, Krishnan 12 2012 Controllability of damped second-order neutral functional differential systems with impulses. Zbl 1235.93042Arthi, G.; Balachandran, K. 11 2012 Controllability of damped second-order impulsive neutral functional differential systems with infinite delay. Zbl 1237.93023Arthi, G.; Balachandran, K. 10 2012 Remark on the existence results for fractional impulsive integrodifferential equations in Banach spaces. Zbl 1256.34065Balachandran, K.; Kiruthika, S.; Trujillo, J. J. 7 2012 Weak solutions for \(p\)-Laplacian equation. Zbl 1277.35117Bhuvaneswari, Venkatasubramaniam; Lingeshwaran, Shangerganesh; Balachandran, Krishnan 4 2012 Pattern formation for a ratio-dependent predator-prey model with cross diffusion. Zbl 1316.92072Sambath, M.; Balachandran, K. 2 2012 Existence of solutions for fractional delay integrodifferential equations. Zbl 1381.34102Balachandran, K.; Kiruthika, S.; Rivero, M.; Trujillo, J. J. 1 2012 Controllability of second-order impulsive differential and integrodifferential evolution systems with nonlocal conditions. Zbl 1263.93028Arthi, G.; Balachandran, K. 1 2012 Controllability of nonlinear differential evolution systems in a separable Banach space. Zbl 1251.93035Radhakrishnan, Bheeman; Balachandran, Krishnan 1 2012 Existence results for fractional impulsive integrodifferential equations in Banach spaces. Zbl 1221.34215Balachandran, K.; Kiruthika, S.; Trujillo, J. J. 57 2011 On fractional impulsive equations of Sobolev type with nonlocal condition in Banach spaces. Zbl 1228.34014Balachandran, K.; Kiruthika, S.; Trujillo, J. J. 33 2011 ...and 227 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,676 Authors 163 Balachandran, Krishnan 41 Wang, Jinrong 36 Ntouyas, Sotiris K. 32 Zhou, Yong 27 Ahmad, Bashir 26 Sukavanam, Nagarajan 24 Trujillo, Juan J. 22 Balasubramaniam, Pagavathigounder 22 Benchohra, Mouffak 22 Mahmudov, Nazim Idrisoglu 21 Dauer, Jerald P. 21 Gou, Haide 21 Pandey, Dwijendra Narain 21 Yan, Zuomao 20 Hernández, Eduardo M. 20 Shah, Kamal 19 O’Regan, Donal 18 Murugesan, K. 18 Park, Jong Yeoul 17 Sakthivel, Rathinasamy 16 Fu, Xianlong 16 Shangerganesh, Lingeshwaran 15 Agarwal, Ravi P. 15 Li, Yongxiang 14 Băleanu, Dumitru I. 14 Chang, Yong-Kui 14 Henríquez, Hernán R. 14 Karthikeyan, Shanmugasundaram 13 Ahmed, Hamdy M. 13 Noiri, Takashi 12 Vijayakumar, Velusamy 11 Al-saedi, Ahmed Eid Salem 11 Annapoorani, Natarajan 11 Ezzinbi, Khalil 11 Kim, Jeong-Hoon 11 Li, Baolin 11 Liu, Zhenhai 11 Sakthivel, Kumarasamy 11 Wang, Guotao 10 Anthoni, Selvaraj Marshal 10 Arthi, Ganesan 10 Fečkan, Michal 10 Khan, Rahmat Ali 10 Kucche, Kishor D. 10 Zhang, Lihong 10 Ziari, Shokrollah 9 Bahuguna, Dhirendra 9 Chalishajar, Dimplekumar N. 9 Diop, Mamadou Abdoul 9 Ezzati, Reza 9 Shukla, Anurag 8 Bica, Alexandru Mihai 8 Chadha, Alka 8 Debbouche, Amar 8 Dhakne, Machindra Baburao 8 Govindaraj, Venkatesan 8 Leiva, Hugo 8 Razzaghi, Mohsen 8 Wei, Wei 7 Abdeljawad, Thabet 7 Anguraj, Annamalai 7 Arjunan, Mani Mallika 7 Dhayabaran, D. 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Radhakrishnan 5 Arora, Urvashi 5 Jafari, Saeid 5 Jia, Xiumei 5 Kiruthika, S. 5 Kokila, Jayakumar 5 Li, Gang 5 Lu, Fangxia 5 McKibben, Mark Anthony ...and 1,576 more Authors all top 5 Cited in 274 Serials 85 Advances in Difference Equations 80 Applied Mathematics and Computation 46 Computers & Mathematics with Applications 44 Journal of Mathematical Analysis and Applications 41 Abstract and Applied Analysis 37 Chaos, Solitons and Fractals 33 Journal of Optimization Theory and Applications 30 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 26 International Journal of Control 26 Nonlinear Analysis. 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