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
76 2021 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
49 * 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
49 2019 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
47 2022 Harmonious coloring on double star graph families M Venkatachalam, K Kaliraj
Tamkang Journal of Mathematics 43 (2), 153-158, 2012
23 2012 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
20 2021 EQUITABLE COLORING OF CORONA PRODUCTS OF GRAPHS. H Furmańczyk, K Kaliraj, M Kubale, JV Vivin
Advances & Applications in Discrete Mathematics 11 (2), 2013
18 2013 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 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
12 2022 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
10 2022 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
10 2020 Equitable coloring on corona graph of graphs K Kaliraj, J Veninstine Vivik, J Vernold Vivin
Journal of combinatorial mathematics and combinatorial computing 81, 191-197, 2012
10 2012 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
9 2022 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
8 2023 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
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
7 2018 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
6 2022 Equitable coloring of Mycielskian of some graphs V Vivin, K Kaliraj
Journal of Mathematical Extension 11, 1-18, 2017
5 2017 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
4 2023 On equitable coloring of corona of wheels. JV Vivin, K Kaliraj
Electron. J. Graph Theory Appl. 4 (2), 206-222, 2016
4 2016