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Balachandran, Krishnan

Author ID: balachandran.krishnan Recent zbMATH articles by "Balachandran, Krishnan"
Published as: Balachandran, K.; Balachandran, Krishnan; Krishnan, Balachandran; Balachandan, Krishnan
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
2,177 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

Publications by Year

Citations contained in zbMATH Open

356 Publications have been cited 3,299 times in 1,792 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
124
2010
Controllability of nonlinear systems in Banach spaces: a survey. Zbl 1023.93010
Balachandran, K.; Dauer, J. P.
111
2002
The nonlocal Cauchy problem for nonlinear fractional integrodifferential equations in Banach spaces. Zbl 1196.34007
Balachandran, Krishnan; Trujillo, Juan J.
100
2010
Nonlocal Cauchy problem for abstract fractional semilinear evolution equations. Zbl 1213.34008
Balachandran, K.; Park, J. Y.
76
2009
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 fractional dynamical systems. Zbl 1277.34006
Balachandran, K.; Park, J. Y.; Trujillo, J. J.
60
2012
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.
52
2001
Controllability of fractional integrodifferential systems in Banach spaces. Zbl 1175.93028
Balachandran, K.; Park, J. Y.
48
2009
Existence of solutions of nonlinear fractional pantograph equations. Zbl 1299.34009
Balachandran, K.; Kiruthika, S.; Trujillo, J. J.
47
2013
On the controllability of fractional dynamical systems. Zbl 1302.93042
Balachandran, Krishnan; Kokila, Jayakumar
42
2012
On fractional impulsive equations of Sobolev type with nonlocal condition in Banach spaces. Zbl 1228.34014
Balachandran, K.; Kiruthika, S.; Trujillo, J. J.
40
2011
Controllability results for nonlinear fractional-order dynamical systems. Zbl 1263.93029
Balachandran, K.; Govindaraj, V.; Rodríguez-Germa, L.; Trujillo, J. J.
36
2013
Existence of solutions of a delay differential equation with nonlocal condition. Zbl 0854.34065
Balachandran, K.; Chandrasekaran, M.
34
1996
Controllability of nonlinear integrodifferential systems in Banach space. Zbl 0821.93010
Balachandran, K.; Dauer, J. P.; Balasubramaniam, P.
33
1995
Relative controllability of fractional dynamical systems with delays in control. Zbl 1248.93022
Balachandran, K.; Zhou, Yong; Kokila, J.
33
2012
Relative controllability of fractional dynamical systems with multiple delays in control. Zbl 1268.93021
Balachandran, K.; Kokila, J.; Trujillo, J. J.
32
2012
Controllability of fractional damped dynamical systems. Zbl 1338.93069
Balachandran, K.; Govindaraj, V.; Rivero, M.; Trujillo, J. J.
32
2015
Existence results for impulsive neutral functional integrodifferential equations with infinite delay. Zbl 1196.34105
Park, J. Y.; Balachandran, K.; Annapoorani, N.
31
2009
Global exponential stability of neutral-type impulsive neural networks with discrete and distributed delays. Zbl 1179.93143
Samidurai, R.; Marshal Anthoni, S.; Balachandran, K.
31
2010
Local null controllability of nonlinear functional differential systems in Banach space. Zbl 0848.93007
Balachandran, K.; Balasubramaniam, P.; Dauer, J. P.
28
1996
Controllability of functional semilinear integrodifferential systems in Banach spaces. Zbl 0982.93018
Balachandran, K.; Sakthivel, R.
28
2001
Existence results for abstract fractional differential equations with nonlocal conditions via resolvent operators. Zbl 1254.34011
Hernández, Eduardo; O’Regan, Donal; Balachandran, Krishnan
28
2013
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.
26
2014
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
On generalized continuous maps in topological spaces. Zbl 0736.54005
Balachandran, K.; Sundaram, P.; Maki, H.
25
1991
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 nonlinear fractional delay dynamical systems. Zbl 1378.93022
Nirmala, R. Joice; Balachandran, K.; Rodríguez-Germa, L.; Trujillo, J. J.
23
2016
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
Controllability of second-order semilinear neutral functional differential systems in Banach spaces. Zbl 0990.93007
Balachandran, K.; Marshal Anthoni, S.
21
2001
On a class of non-linear parabolic control systems with memory effects. Zbl 1152.93312
Sakthivel, K.; Balachandran, K.; Nagaraj, B. R.
20
2008
Controllability of nonlinear higher order fractional dynamical systems. Zbl 1268.34007
Balachandran, K.; Govindaraj, V.; Rodríguez-Germá, L.; Trujillo, J. J.
20
2013
Existence of solutions of nonlinear fuzzy Volterra-Fredholm integral equations. Zbl 1005.45004
Balachandran, K.; Prakash, P.
20
2002
Numerical controllability of fractional dynamical systems. Zbl 1292.93023
Balachandran, Krishnan; Govindaraj, Venkatesan
20
2014
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
Controllability of impulsive neutral functional evolution integrodifferential systems with infinite delay. Zbl 1227.93016
Radhakrishnan, B.; Balachandran, K.
19
2011
Mean-square stability of Milstein method for linear hybrid stochastic delay integro-differential equations. Zbl 1163.93398
Rathinasamy, A.; Balachandran, K.
19
2008
Existence of solutions and controllability of nonlinear integro-differential systems in Banach spaces. Zbl 1074.34057
Balachandran, K.; Park, J. Y.
18
2003
Controllability of nonlinear Itô type stochastic integrodifferential systems. Zbl 1151.93005
Balachandran, K.; Karthikeyan, S.
17
2008
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 of solutions of abstract fractional integrodifferential equations of Sobolev type. Zbl 1268.34151
Balachandran, K.; Kiruthika, S.
17
2012
Analysis of different systems via single-term Walsh series method. Zbl 0752.65056
Balachandran, K.; Murugesan, K.
17
1990
Constrained controllability of fractional dynamical systems. Zbl 1279.93021
Balachandran, K.; Kokila, J.
17
2013
Existence results for fractional integrodifferential equations with nonlocal condition via resolvent operators. Zbl 1228.34013
Balachandran, K.; Kiruthika, S.
17
2011
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 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
Controllability of damped second-order neutral functional differential systems with impulses. Zbl 1235.93042
Arthi, G.; Balachandran, K.
16
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 1116.93019
Balachandran, K.; Kim, J.-H.
15
2006
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
Controllability results for semilinear impulsive integrodifferential evolution systems with nonlocal conditions. Zbl 1265.93023
Radhakrishnan, Bheeman; Balachandran, Krishnan
15
2012
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
Controllability of impulsive neutral integrodifferential systems with infinite delay in Banach spaces. Zbl 1184.93020
Park, J. Y.; Balachandran, K.; Arthi, G.
14
2009
Inverse problem for the reaction diffusion system by optimization method. Zbl 1202.35352
Sakthivel, K.; Gnanavel, S.; Balan, N. Barani; Balachandran, K.
14
2011
Spatiotemporal patterns in a predator-prey model with cross-diffusion effect. Zbl 1388.35009
Sambath, M.; Balachandran, K.; Guin, L. N.
14
2018
Existence results for impulsive neutral evolution integrodifferential equations with infinite delay. Zbl 1179.45019
Balachandran, K.; Annapoorani, N.
14
2009
Controllability of neutral functional integrodifferential infinite delay systems in Banach spaces. Zbl 1072.93004
Balachandran, K.; Anandhi, E. R.
14
2004
Controllability of semilinear stochastic integrodifferential systems. Zbl 1137.93010
Balachandran, K.; Karthikeyan, S.; Kim, J.-H.
13
2007
Controllability of nonlinear fractional delay integrodifferential systems. Zbl 1341.93014
Nirmala, R. Joice; Balachandran, K.
13
2016
Boundary controllability of Sobolev-type abstract nonlinear integrodifferential systems. Zbl 1017.93017
Balachandran, K.; Anandhi, E. R.; Dauer, J. P.
13
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.
13
2013
Exact controllability of nonlinear diffusion equations arising in reactor dynamics. Zbl 1156.93321
Sakthivel, K.; Balachandran, K.; Sritharan, S. S.
13
2008
Controllability of nonlinear stochastic systems with multiple time-varying delays in control. Zbl 1322.93020
Karthikeyan, Shanmugasundaram; Balachandran, Krishnan; Sathya, Murugesan
13
2015
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
Existence of solutions to second-order neutral functional-differential equations. Zbl 0998.34066
Balachandran, K.; Marshal Anthoni, S.
12
1999
Controllability of damped second-order impulsive neutral functional differential systems with infinite delay. Zbl 1237.93023
Arthi, G.; Balachandran, K.
12
2012
Controllability results for damped second-order impulsive neutral integrodifferential systems with nonlocal conditions. Zbl 1299.93027
Arthi, Ganesan; Balachandran, Krishnan
12
2013
Analysis of nonlinear singular systems via STWS method. Zbl 0725.65073
Balachandran, K.; Murugesan, K.
12
1990
Existence results for a damped second order abstract functional differential equation with impulses. Zbl 1185.34113
Hernandez, Eduardo; Balachandran, K.; Annapoorani, N.
12
2009
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
Existence and uniqueness of solutions of degenerate chemotaxis system. Zbl 1357.35267
Shangerganesh, L.; Balan, N. Barani; Balachandran, K.
12
2014
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
Boundary controllability of integrodifferential systems in Banach spaces. Zbl 0982.93017
Balachandran, K.; Anandhi, E. R.
11
2001
Optimal control of singular systems via single-term Walsh series. Zbl 0767.49015
Balachandran, K.; Murugesan, K.
11
1992
Analysis of stochastic diffusive predator prey model with hyperbolic mortality rate. Zbl 1349.92132
Suvinthra, M.; Balachandran, K.; Sambath, M.
11
2016
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
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 second-order integrodifferential evolution systems in Banach spaces. Zbl 1127.93013
Balachandran, K.; Park, D. G.; Manimegalai, P.
10
2005
Controllability of neutral functional evolution integrodifferential systems with infinite delay. Zbl 1146.93006
Balachandran, K.; Leelamani, A.; Kim, J.-H.
10
2008
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
Solutions of system of fractional partial differential equations. Zbl 1302.35409
Parthiban, V.; Balachandran, K.
10
2013
Controllability of perturbed nonlinear delay systems. Zbl 0614.93011
Balachandran, K.; Dauer, J. P.
10
1987
Controllability of second order semilinear Volterra integrodifferential systems in Banach spaces. Zbl 0935.93013
Balachandran, K.; Park, J. Y.; Marshal Anthoni, S.
10
1999
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.
10
2017
Weak-renormalized solutions for predator-prey system. Zbl 1263.35135
Shangerganesh, L.; Balan, N. Barani; Balachandran, K.
10
2013
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
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 quasi-linear delay systems in Banach spaces. Zbl 0849.93008
Balachandran, K.; Balasubramaniam, P.; Dauer, J. P.
9
1995
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
4
2020
Existence results of fractional neutral integrodifferential equations with deviating arguments. Zbl 1496.45008
Kamalapriya, B.; Balachandran, K.; Annapoorani, N.
3
2020
Existence and stability results for Caputo fractional stochastic differential equations with Lévy noise. Zbl 1513.34039
Umamaheswari, P.; 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
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
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
Lower bound of blow up time for three species cooperating model. Zbl 1472.92171
Bhuvaneswari, V.; Balachandran, K.
2
2020
Relative controllability of nonlinear fractional Langevin systems with delays in control. Zbl 1443.93036
Suresh Kumar, P.; Balachandran, K.; Annapoorani, N.
1
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.
6
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
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
Controllability of nonlinear fractional Langevin systems. Zbl 1453.93022
Kumar, P. Suresh; Govindaraj, V.; Balachandran, K.; Annapoorani, N.
2
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.
14
2018
Asymptotic behavior of the fractional order three species prey-predator model. Zbl 1461.92098
Sambath, M.; Ramesh, P.; Balachandran, K.
8
2018
Controllability of nonlinear fractional Langevin delay systems. Zbl 1416.93031
Kumar, Pitchaikkannu Suresh; Balachandran, Krishnan; Annapoorani, Natarajan
6
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 systems with Lévy noise. Zbl 1377.93046
Lizzy, R. Mabel; Balachandran, K.; Suvinthra, M.
12
2017
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.
10
2017
Weak solutions for nonlinear parabolic equations with variable exponents. Zbl 1391.35208
Shangerganesh, Lingeshwaran; Gurusamy, Arumugam; Balachandran, Krishnan
9
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
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
The controllability of nonlinear implicit fractional delay dynamical systems. Zbl 1373.93065
Joice Nirmala, Rajagopal; Balachandran, Krishnan
5
2017
Controllability of nonlinear fractional delay dynamical systems with multiple delays in control. Zbl 1425.93037
Balachandran, Krishnan
5
2017
Relative controllability of nonlinear fractional delay integrodifferential systems with multiple delays in control. Zbl 1424.93019
Joice Nirmala, Rajagopal; Balachandran, Krishnan
4
2017
Large deviations for nonlinear Itô type stochastic integrodifferential equations. Zbl 1365.45006
Suvinthra, M.; Balachandran, K.
4
2017
Exsistence results for fractional integrodifferential equations. Zbl 1377.60072
Kamalapriya, B.; Balachandran, K.; Annapoorani, N.
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
Large deviations for the stochastic predator-prey model with nonlinear functional response. Zbl 1398.92222
Suvinthra, M.; Balachandran, K.
2
2017
On the solution of stochastic fractional integrodifferential equations. Zbl 1381.45031
Umamaheswari, P.; Balachandran, K.; Annapoorani, N.
2
2017
Solvability of hyperbolic fractional partial differential equations. Zbl 1448.35535
Akilandeeswari, Aruchamy; Balachandran, Krishnan; Annapoorani, Natarajan
2
2017
Large deviations for stochastic fractional integrodifferential equations. Zbl 1474.45102
Suvinthra, Murugan; Balachandran, Krishnan; Lizzy, Rajendran Mabel
2
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 fractional delay integrodifferential equations with four-point multiterm fractional integral boundary conditions. Zbl 1424.45015
Shri Akiladevi, K.; Balachandran, K.
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
On the solutions of partial integrodifferential equations of fractional order. Zbl 1360.45008
Akilandeeswari, Aruchamy; Balachandran, Krishnan; Rivero, Margarita; Trujillo, Juan J.
1
2017
Controllability of nonlinear fractional delay dynamical systems. Zbl 1378.93022
Nirmala, R. Joice; Balachandran, K.; Rodríguez-Germa, L.; Trujillo, J. J.
23
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.
4
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.
26
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.
12
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
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
Weak-renormalized solutions for three species competition model in ecology. Zbl 1375.35580
Shangerganesh, Lingeshwaran; Balan, Natesan Barani; Balachandran, Krishnan
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.
47
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
28
2013
Controllability of nonlinear higher order fractional dynamical systems. Zbl 1268.34007
Balachandran, K.; Govindaraj, V.; Rodríguez-Germá, L.; Trujillo, J. J.
20
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.
13
2013
Controllability results for damped second-order impulsive neutral integrodifferential systems with nonlocal conditions. Zbl 1299.93027
Arthi, Ganesan; Balachandran, Krishnan
12
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
On controllability for a class of stochastic impulsive systems with delays in control. Zbl 1307.93069
Karthikeyan, S.; 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 256 more Documents
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Cited by 2,045 Authors

180 Balachandran, Krishnan
48 Wang, Jinrong
37 Ntouyas, Sotiris K.
36 Zhou, Yong
30 Sukavanam, Nagarajan
30 Trujillo, Juan J.
29 Ahmad, Bashir
26 Benchohra, Mouffak
24 Gou, Haide
23 Mahmudov, Nazim Idrisoglu
22 Balasubramaniam, Pagavathigounder
22 Pandey, Dwijendra Narain
22 Shah, Kamal
22 Vijayakumar, Velusamy
22 Yan, Zuomao
21 Băleanu, Dumitru I.
21 Dauer, Jerald P.
20 Hernández, Eduardo M.
20 O’Regan, Donal
20 Sakthivel, Rathinasamy
19 Murugesan, K.
18 Park, Jong Yeoul
17 Fu, Xianlong
17 Li, Yongxiang
16 Agarwal, Ravi P.
16 Shangerganesh, Lingeshwaran
16 Shukla, Anurag
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 Wang, Guotao
11 Diop, Mamadou Abdoul
11 Govindaraj, Venkatesan
11 Kim, Jeong-Hoon
11 Kucche, Kishor D.
11 Li, Baolin
11 Nieto Roig, Juan Jose
11 Sakthivel, Kumarasamy
11 Zhang, Lihong
10 Anthoni, Selvaraj Marshal
10 Bahuguna, Dhirendra
10 Chalishajar, Dimplekumar N.
10 Debbouche, Amar
10 Khan, Rahmat Ali
10 Vanterler da Costa Sousa, José
9 Chadha, Alka
9 Li, Fang
9 Malik, Muslim
9 Mohan, Manil Thankamani
9 Suvinthra, Murugan
9 Udhayakumar, Ramalingam
8 Arjunan, Mani Mallika
8 Bica, Alexandru Mihai
8 Dhakne, Machindra Baburao
8 Karthikeyan, Kulandhivel
8 Kvitko, Aleksandr Nikolaevich
8 Leiva, Hugo
8 Rathinasamy, Anandaraman
8 Razzaghi, Mohsen
8 Wei, Wei
7 Dabas, Jaydev
7 Dhayabaran, D. Paul
7 Evans, David John
7 Fan, Zhenbin
7 Gao, Hang
7 Jeong, Jin-Mun
7 Jiang, Wei
7 Klamka, Jerzy
7 Kumar, Avadhesh
7 Kumar, Surendra Shashi
7 Liu, Xianghu
7 Ma, Yong-Ki
7 Rezapour, Shahram
7 Rivero, Margarita
7 Shen, Lijuan
7 Sun, Ji Tao
7 Wang, Rongnian
6 Abbas, Syed
6 Abdo, Mohammed Salem
6 Arora, Urvashi
6 Henderson, Johnny Lee
6 Jia, Xiumei
6 Li, Gang
6 Li, Meili
6 Lizama, Carlos
...and 1,945 more Authors
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Cited in 301 Serials

102 Advances in Difference Equations
88 Applied Mathematics and Computation
48 Chaos, Solitons and Fractals
47 Computers & Mathematics with Applications
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42 Abstract and Applied Analysis
35 Communications in Nonlinear Science and Numerical Simulation
34 Journal of Optimization Theory and Applications
31 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
30 Boundary Value Problems
29 Fractional Calculus & Applied Analysis
28 International Journal of Control
27 Mathematical Methods in the Applied Sciences
26 Nonlinear Analysis. Hybrid Systems
25 International Journal of Computer Mathematics
25 Journal of Applied Nonlinear Dynamics
21 Journal of Computational and Applied Mathematics
19 Kybernetika
19 Applied Mathematics Letters
18 Filomat
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18 International Journal of Applied Mathematics and Computer Science
18 International Journal of Nonlinear Sciences and Numerical Simulation
17 Journal of the Franklin Institute
16 Applicable Analysis
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16 Differential Equations and Dynamical Systems
15 Mathematical Problems in Engineering
14 Computational and Applied Mathematics
14 Journal of Applied Mathematics and Computing
14 Boletim da Sociedade Paranaense de Matemática. Terceira Série
14 Evolution Equations and Control Theory
12 Journal of Integral Equations and Applications
12 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
12 Journal of Inequalities and Applications
12 Discrete Dynamics in Nature and Society
12 Qualitative Theory of Dynamical Systems
12 Nonlinear Analysis. Real World Applications
12 Mediterranean Journal of Mathematics
10 Mathematics and Computers in Simulation
10 Nonlinear Analysis. Modelling and Control
10 Journal of Applied Mathematics
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9 Systems & Control Letters
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9 Journal of the Egyptian Mathematical Society
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9 South East Asian Journal of Mathematics and Mathematical Sciences
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8 Demonstratio Mathematica
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6 Stochastics
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6 Mathematical Sciences
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5 Ukrainian Mathematical Journal
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5 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
5 Turkish Journal of Mathematics
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5 Lobachevskii Journal of Mathematics
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5 Journal of Control Theory and Applications
5 Advances in Mathematical Physics
5 Afrika Matematika
5 Mathematics
4 International Journal of Mathematics and Mathematical Sciences
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4 European Journal of Control
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Cited in 43 Fields

959 Ordinary differential equations (34-XX)
657 Systems theory; control (93-XX)
442 Operator theory (47-XX)
307 Partial differential equations (35-XX)
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