Edit Profile (opens in new tab) Kaliraj, Kalimuthu Co-Author Distance Author ID: kaliraj.kalimuthu Published as: Kaliraj, K.; Kaliraj, Kalimuthu Documents Indexed: 23 Publications since 2009 Co-Authors: 21 Co-Authors with 23 Joint Publications 487 Co-Co-Authors all top 5 Co-Authors 0 single-authored 14 Vivin, J. Vernold 5 Ravichandran, Chokkalingam 4 Akbar, Ali M. M. 3 Sivakami, R. 3 Sooppy Nisar, Kottakkaran 2 Jothimani, Kasthurisamy 2 Manjula, M. 2 Priya, P. K. Lakshmi 1 Akbar, M. M. Ali 1 Devi, R. Narmadha 1 Furmańczyk, Hanna 1 Kubale, Marek 1 Logeswari, Kumararaju 1 Muthuvel, Kandasamy 1 Panda, Sumati Kumari 1 Raja, Marimuthu Mohan 1 Sakthivel, Natarajan 1 Shukla, Anurag 1 Veninstine, Vivik J. 1 Vijayakumar, Velusamy 1 Viswanath, K. S. all top 5 Serials 3 Chaos, Solitons and Fractals 2 Acta Universitatis Apulensis. Mathematics - Informatics 2 Proyecciones 1 Mathematical Methods in the Applied Sciences 1 Ars Combinatoria 1 International Journal of Mathematics and Mathematical Sciences 1 Optimal Control Applications & Methods 1 JCMCC. The Journal of Combinatorial Mathematics and Combinatorial Computing 1 International Journal of Computer Mathematics 1 Communications de la Faculté des Sciences de l’Université d’Ankara. Séries A1. Mathematics and Statistics 1 Qualitative Theory of Dynamical Systems 1 International Journal of Mathematical Combinatorics 1 Advances and Applications in Discrete Mathematics 1 Journal of Mathematical Extension 1 Palestine Journal of Mathematics 1 Evolution Equations and Control Theory 1 Electronic Journal of Graph Theory and Applications 1 International Journal of Applied and Computational Mathematics all top 5 Fields 15 Combinatorics (05-XX) 7 Ordinary differential equations (34-XX) 5 Systems theory; control (93-XX) 3 Real functions (26-XX) 3 Integral equations (45-XX) 3 Operator theory (47-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Algebraic topology (55-XX) 1 Probability theory and stochastic processes (60-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 12 Publications have been cited 86 times in 64 Documents Cited by ▼ Year ▼ An analysis of controllability results for nonlinear Hilfer neutral fractional derivatives with non-dense domain. Zbl 1498.34215 Nisar, Kottakkaran Sooppy; Jothimani, K.; Kaliraj, K.; Ravichandran, C. 25 2021 Results on controllability of non-densely characterized neutral fractional delay differential system. Zbl 1469.93009 Jothimani, Kasthurisamy; Kaliraj, Kalimuthu; Panda, Sumati Kumari; Nisar, Kotakkaran Sooppy; Ravichandran, Chokkalingam 16 2021 Optimal control and approximate controllability for fractional integrodifferential evolution equations with infinite delay of order \(r \in (1, 2)\). Zbl 07754117 Mohan Raja, Marimuthu; Vijayakumar, Velusamy; Shukla, Anurag; Sooppy Nisar, Kottakkaran; Sakthivel, Natarajan; Kaliraj, Kalimuthu 12 2022 Equitable coloring of corona products of graphs. Zbl 1275.05020 Furmańczyk, Hanna; Kaliraj, K.; Kubale, Marek; Vivin, J. Vernold 9 2013 Equitable coloring on corona graph of graphs. Zbl 1252.05065 Kaliraj, K.; Veninstine, Vivik J.; Vernold, Vivin J. 6 2012 On equitable coloring of central graphs and total graphs. Zbl 1267.05227 Akbar, M. M. Ali; Kaliraj, K.; Vivin, J. Vernold 6 2009 New existence results on nonlocal neutral fractional differential equation in concepts of Caputo derivative with impulsive conditions. Zbl 1504.34230 Kaliraj, K.; Manjula, M.; Ravichandran, C. 3 2022 On equitable coloring of corona of wheels. Zbl 1467.05086 Vivin, J. Vernold; Kaliraj, K. 3 2016 An explication of finite-time stability for fractional delay model with neutral impulsive conditions. Zbl 1508.34099 Kaliraj, K.; Priya, P. K. Lakshmi; Ravichandran, C. 2 2022 Equitable coloring of Mycielskian of some graphs. Zbl 1474.05147 Vivin, Vernold J.; Kaliraj, K. 2 2017 An application of fixed point technique of Rothe’s-type to interpret the controllability criteria of neutral nonlinear fractional ordered impulsive system. Zbl 1508.93037 Lakshmi Priya, P. K.; Kaliraj, K. 1 2022 On harmonious coloring of total graphs of \(C(C_{n}), C(K_{1,n})\) and \(C(P_{n})\). Zbl 1214.05144 Vivin J., Vernold; Ali M. M., Akbar; Kaliraj, K. 1 2010 Optimal control and approximate controllability for fractional integrodifferential evolution equations with infinite delay of order \(r \in (1, 2)\). Zbl 07754117 Mohan Raja, Marimuthu; Vijayakumar, Velusamy; Shukla, Anurag; Sooppy Nisar, Kottakkaran; Sakthivel, Natarajan; Kaliraj, Kalimuthu 12 2022 New existence results on nonlocal neutral fractional differential equation in concepts of Caputo derivative with impulsive conditions. Zbl 1504.34230 Kaliraj, K.; Manjula, M.; Ravichandran, C. 3 2022 An explication of finite-time stability for fractional delay model with neutral impulsive conditions. Zbl 1508.34099 Kaliraj, K.; Priya, P. K. Lakshmi; Ravichandran, C. 2 2022 An application of fixed point technique of Rothe’s-type to interpret the controllability criteria of neutral nonlinear fractional ordered impulsive system. Zbl 1508.93037 Lakshmi Priya, P. K.; Kaliraj, K. 1 2022 An analysis of controllability results for nonlinear Hilfer neutral fractional derivatives with non-dense domain. Zbl 1498.34215 Nisar, Kottakkaran Sooppy; Jothimani, K.; Kaliraj, K.; Ravichandran, C. 25 2021 Results on controllability of non-densely characterized neutral fractional delay differential system. Zbl 1469.93009 Jothimani, Kasthurisamy; Kaliraj, Kalimuthu; Panda, Sumati Kumari; Nisar, Kotakkaran Sooppy; Ravichandran, Chokkalingam 16 2021 Equitable coloring of Mycielskian of some graphs. Zbl 1474.05147 Vivin, Vernold J.; Kaliraj, K. 2 2017 On equitable coloring of corona of wheels. Zbl 1467.05086 Vivin, J. Vernold; Kaliraj, K. 3 2016 Equitable coloring of corona products of graphs. Zbl 1275.05020 Furmańczyk, Hanna; Kaliraj, K.; Kubale, Marek; Vivin, J. Vernold 9 2013 Equitable coloring on corona graph of graphs. Zbl 1252.05065 Kaliraj, K.; Veninstine, Vivik J.; Vernold, Vivin J. 6 2012 On harmonious coloring of total graphs of \(C(C_{n}), C(K_{1,n})\) and \(C(P_{n})\). Zbl 1214.05144 Vivin J., Vernold; Ali M. M., Akbar; Kaliraj, K. 1 2010 On equitable coloring of central graphs and total graphs. Zbl 1267.05227 Akbar, M. M. Ali; Kaliraj, K.; Vivin, J. Vernold 6 2009 all cited Publications top 5 cited Publications all top 5 Cited by 124 Authors 11 Vijayakumar, Velusamy 10 Sooppy Nisar, Kottakkaran 7 Kaliraj, Kalimuthu 7 Ravichandran, Chokkalingam 6 Shukla, Anurag 4 Abdeljawad, Thabet 4 Kavitha, Krishnan 4 Shah, Kamal 4 Udhayakumar, Ramalingam 4 Wang, Kangle 3 Akgül, Ali 3 Alqudah, Manar A. 3 Amin, Rohul 3 Furmańczyk, Hanna 3 Jothimani, Kasthurisamy 3 Vivin, J. Vernold 2 Abbas, Ahsan 2 Dineshkumar, Chendrayan 2 Jency, Loura 2 Khan, Aziz Ullah 2 Khan, Ilyas 2 Kubale, Marek 2 Mehmood, Nayyar 2 Priya, P. K. Lakshmi 2 Raj, Benedict Michael 2 Valliammal, Natarajan 2 Veeresha, Pundikala 1 Abbasbandy, Saeid 1 Abdel-Aty, Abdel-Haleem 1 Ahmad, Israr 1 Ahmed, Nauman 1 Akbar, Ali M. M. 1 Akram, Mohammad 1 Al-Mdallal, Qasem M. 1 Ali, Mubasher 1 Alsaeed, Suliman 1 Arafa, Anas. A. M. 1 Arfan, Muhammad 1 Asif, Muhammad 1 Awais, Muhammad 1 Bakaein, Samane 1 Ben Saïd, Salem 1 Chaudhary, Renu 1 Devi, R. Narmadha 1 Djemai, Mohamed 1 Drgas-Burchardt, Ewa 1 Eldin, Sayed M. 1 Estrada-Moreno, Alejandro 1 Evirgen, Firat 1 Falcón Ganfornina, Raúl Manuel 1 Fiza, Mehreen 1 Ganie, Abdul Hamid 1 Germina, K. A. 1 Gibek, Katarzyna 1 Hagag, Ahmed. M. Sh. 1 Haider, Nadeem 1 Hajishafieiha, Jalal 1 Han, Xuefeng 1 Hussain, Sardar Muhammad 1 Isaac, Rakhimol V. 1 Jadon, Shimpi Singh 1 Jagatheeshwari, R. 1 Jan, Himayat Ullah 1 Jastrzȩbski, Andrzej 1 Karatas Akgül, Esra 1 Kavitha Williams, Williams 1 Kok, Johan 1 Kumar, Surendra Shashi 1 Kumar, Vipin 1 Logeswari, Kumararaju 1 Mahariq, Ibrahim 1 Malik, Muslim 1 Manjula, M. 1 Mkrtchyan, Vahan V. 1 Mohamed, Abdullah 1 Mousa, Abd Allah A. 1 Moussa, Sana Ben 1 Muthuvel, Kandasamy 1 Nandini, Gnanasekaran 1 Naz, Hafsa 1 Nieto Roig, Juan Jose 1 Obszarski, Paweł 1 Panda, Bhawani Sankar 1 Park, Choonkil 1 Patel, Rohit 1 Praveena, K. 1 Priyamvada 1 Qu, Haidong 1 Rahbarnia, Freydoon 1 Raja, Marimuthu Mohan 1 Ramírez-Cruz, Yunior 1 Raza, Ali Hassan 1 Reich, Simeon 1 Ren, Feng 1 Reunsumrit, Jiraporn 1 Rezapour, Shahram 1 Riaz, Usman 1 Ro, Jong-Suk 1 Rodríguez-Velazquez, Juan Alberto 1 Saifullah, Shahid ...and 24 more Authors all top 5 Cited in 28 Serials 15 Fractals 6 Mathematical Methods in the Applied Sciences 5 Chaos, Solitons and Fractals 5 Qualitative Theory of Dynamical Systems 3 International Journal of Nonlinear Sciences and Numerical Simulation 3 Proyecciones 3 International Journal of Applied and Computational Mathematics 2 Discrete Applied Mathematics 2 Advances and Applications in Discrete Mathematics 2 Electronic Journal of Graph Theory and Applications 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Computational and Applied Mathematics 1 Numerical Functional Analysis and Optimization 1 Results in Mathematics 1 Theoretical Computer Science 1 Optimal Control Applications & Methods 1 Numerical Methods for Partial Differential Equations 1 Archives of Control Sciences 1 Discussiones Mathematicae. Graph Theory 1 Fractional Calculus & Applied Analysis 1 Communications de la Faculté des Sciences de l’Université d’Ankara. Séries A1. Mathematics and Statistics 1 Communications in Nonlinear Science and Numerical Simulation 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 International Journal of Geometric Methods in Modern Physics 1 Discrete Mathematics, Algorithms and Applications 1 Analysis and Mathematical Physics 1 Iranian Journal of Mathematical Sciences and Informatics 1 AIMS Mathematics all top 5 Cited in 23 Fields 28 Ordinary differential equations (34-XX) 17 Combinatorics (05-XX) 16 Systems theory; control (93-XX) 15 Real functions (26-XX) 14 Operator theory (47-XX) 12 Partial differential equations (35-XX) 8 Numerical analysis (65-XX) 7 Integral equations (45-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 4 Probability theory and stochastic processes (60-XX) 4 Biology and other natural sciences (92-XX) 3 Dynamical systems and ergodic theory (37-XX) 2 General and overarching topics; collections (00-XX) 2 Integral transforms, operational calculus (44-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Computer science (68-XX) 2 Fluid mechanics (76-XX) 1 Measure and integration (28-XX) 1 Special functions (33-XX) 1 Sequences, series, summability (40-XX) 1 Approximations and expansions (41-XX) 1 Operations research, mathematical programming (90-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year