An analysis of controllability results for nonlinear Hilfer neutral fractional derivatives with non-dense domain KS Nisar, K Jothimani, K Kaliraj, C Ravichandran
Chaos, Solitons & Fractals 146, 110915, 2021
81 2021 Optimal control and approximate controllability for fractional integrodifferential evolution equations with infinite delay of order M Mohan Raja, V Vijayakumar, A Shukla, K Sooppy Nisar, N Sakthivel, ...
Optimal Control Applications and Methods 43 (4), 996-1019, 2022
51 2022 Results on controllability of non-densely characterized neutral fractional delay differential system. K Jothimani, K Kaliraj, SK Panda, KS Nisar, C Ravichandran
Evolution Equations & Control Theory 10 (3), 2021
50 2021 New results on controllability in the framework of fractional integrodifferential equations with nondense domain K Jothimani, K Kaliraj, Z Hammouch, C Ravichandran
The European Physical Journal Plus 134 (9), 441, 2019
50 2019 Harmonious coloring on double star graph families M Venkatachalam, K Kaliraj
Tamkang Journal of Mathematics 43 (2), 153-158, 2012
23 2012 Equitable coloring of corona products of graphs H Furmańczyk, K Kaliraj, M Kubale, JV Vivin
Advances and Applications of Discrete Mathematics 11 (2), 103-120, 2013
22 2013 Controllability analysis for impulsive integro-differential equation via Atangana–Baleanu fractional derivative KSN Kalimuthu Kaliraj, Elumalai Thilakraj, Chokkalingam Ravichandran
Mathematical Methods in the Applied Sciences, 2021
21 2021 New existence results on nonlocal neutral fractional differential equation in concepts of Caputo derivative with impulsive conditions K Kaliraj, M Manjula, C Ravichandran
Chaos, Solitons & Fractals 161, 112284, 2022
15 2022 On Equitable coloring of central graphs and total graphs AA M M, K Kaliraj, VV J
Electronic notes in discrete mathematics 33, 1-6, 2009
15 2009 On dynamic colouring of Cartesian product of complete graph with some graphs K Kaliraj, H Naresh Kumar, J Vernold Vivin
Journal of Taibah University for Science 14 (1), 168-171, 2020
13 2020 Existence, uniqueness and approximation of nonlocal fractional differential equation of sobolev type with impulses M Manjula, K Kaliraj, T Botmart, KS Nisar, C Ravichandran
AIMS Math 8 (2), 4645-4665, 2023
12 2023 An application of fixed point technique of Rothe’s-type to interpret the controllability criteria of neutral nonlinear fractional ordered impulsive system PKL Priya, K Kaliraj
Chaos, Solitons & Fractals 164, 112647, 2022
11 2022 An explication of finite-time stability for fractional delay model with neutral impulsive conditions K Kaliraj, PKL Priya, C Ravichandran
Qualitative Theory of Dynamical Systems 21 (4), 161, 2022
10 2022 Equitable coloring on corona graph of graphs K Kaliraj, VJ Veninstine, VJ Vernold
JCMCC-Journal of Combinatorial Mathematicsand Combinatorial Computing 81, 191, 2012
10 2012 Results on neutral differential equation of sobolev type with nonlocal conditions K Kaliraj, M Manjula, C Ravichandran, KS Nisar
Chaos, Solitons & Fractals 158, 112060, 2022
8 2022 Existence criteria for fractional differential equations using the topological degree method KS Nisar, S Alsaeed, K Kaliraj, C Ravichandran, W Albalawi, ...
AIMS Mathematics 8 (9), 21914-21928, 2023
7 2023 Analysis of Fractional Integro–Differential Equation with Robin Boundary Conditions Using Topological Degree Method K Kaliraj, KS Viswanath, K Logeswari, C Ravichandran
International Journal of Applied and Computational Mathematics 8 (4), 176, 2022
7 2022 Star edge coloring of corona product of path and wheel graph families K Kaliraj, R Sivakami, VJ Vernold
Proyecciones (Antofagasta) 37 (4), 593-601, 2018
6 2018 Equitable coloring of Mycielskian of some graphs V Vivin, K Kaliraj
Journal of Mathematical Extension 11, 1-18, 2017
5 2017 On equitable coloring of corona of wheels. JV Vivin, K Kaliraj
Electron. J. Graph Theory Appl. 4 (2), 206-222, 2016
5 2016