| 1 |
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 Mathematics |
8 (2) |
2023 |
4645-4665 |
| 2 |
Optimal control and approximate controllability for fractional integrodifferential evolution equations with infinite delay of order r belongs to (1,2) |
Marimuthu Mohan Raja, Velusamy Vijayakumar, Anurag Shukla, Kottakkaran Sooppy Nisar, Natarajan Sakthivel, Kalimuthu Kaliraj |
Optimal Control Applications and Methods |
https://doi.org/10.1002/oca.2867C |
2022 |
|
| 3 |
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 |
|
| 4 |
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 |
|
| 5 |
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) |
2022 |
1-17 |
| 6 |
Equitable chromatic number of weak modular product of Some graphs
,
|
K Kaliraj, RN Devi, JV Vivin |
Proyecciones (Antofagasta, On line) |
41 (5) |
2022 |
1051-1062 |
| 7 |
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 1 2022 |
2022 |
|
| 8 |
An Explication of Finite-Time Stability for Fractional Delay Model with Neutral Impulsive Conditions
|
K Kaliraj, PK Priya, C Ravichandran |
Qualitative Theory of Dynamical Systems |
21 (4) |
2022 |
1-17 |
| 9 |
On Star Coloring of Modular Product of Certain graphs |
J Vernold Vivin, R Sivakami, K Kaliraj |
Acta Universitatis Apulensis |
65 |
2021 |
67-75 |
| 10 |
On Harmonious Colorings of Lexicographic Product of Graphs |
JVVINC K. Kaliraj, M. Manjula |
Advanced Studies in Contemporary Mathematics |
31(2) |
2021 |
205-210 |
| 11 |
b-CHROMATIC NUMBER OF LEXICOGRAPHIC PRODUCT OF SOME GRAPHS
|
K Kaliraj, M Manjula |
Palestine Journal of Mathematics |
10(II) |
2021 |
110-121 |
| 12 |
ON STAR COLORING OF LEXICOGRAPHIC PRODUCT OF GRAPHS
|
VVJ Sivakami R, Kaliraj K |
Acta Universitatis Apulensis |
67 |
2021 |
49-59 |
| 13 |
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 |
https://doi.org/10.1002/mma.7693 |
2021 |
|
| 14 |
An analysis of controllability results for nonlinear Hilfer neutral fractional derivatives with non-dense domain |
Kottakkaran Sooppy Nisar, K. Jothimani, K. Kaliraj, C. Ravichandran |
Chaos, Solitons & Fractals |
146 |
2021 |
1109-1115 |
| 15 |
On Star Coloring of Modular Product of Graphs |
K. Kaliraj R.. Sivakami J. Vernold vivin |
Commun.Fac. Sci. Univ. Ank. Ser.A1 Math.Stat |
69(2) |
2020 |
241-245 |
| 16 |
On Dynamic Coloring 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) |
2020 |
168-171 |
| 17 |
Results on Controllability of Non-Densely Characterized Neutral Fractional Delay Differential System |
Kasthurisamy Jothimani, Kalimuthu Kaliraj, Sumati Kumari Panda, Kotakkaran Sooppy Nisar, Chokkalingam Ravichandran |
Evolution Equations and Control Theory |
Doi: 10.3934/eect.2020083 |
2020 |
1-13 |
| 18 |
New results on Controllability in the frame work of Fractional Integrodifferential Equations with Nondense domain |
K. Jothimani, K. Kaliraj, Zakia Hammouch, C. Ravichandran |
The European Physical Journal Plus |
134(9) |
2019 |
1-11 |
| 19 |
Ramsey Numbers for Class of Edgeless, Complete and Star Graphs |
K. Kaliraj, H. Naresh Kumar |
TWMS Journal of Applied and Engineering Mathematics |
9(2) |
2019 |
220-224 |
| 20 |
Star Edge Coloring of Corona Product of Path and Wheel graph families |
K. Kaliraj R. Sivakami VJ Vernold |
Proyecciones (Antofagasta) |
37(4) |
2018 |
593-601 |
| 21 |
On Star Coloring of Mycielskians |
K. Kaliraj V. Kowsalya V. Vivin |
Indonesian Journal of Combinatorics |
2(2) |
2018 |
82-87 |
| 22 |
Equitable Edge Coloring of Some Join Graphs |
K Kaliraj |
International Journal of Mathematics And its Applications |
5-4F |
2017 |
971-975 |
| 23 |
On Acyclic Coloring of Mycielskians |
K. Kaliraj V. Kowsalya |
Journal of Informatics and Mathematical Sciences |
9(3) |
2017 |
835-842 |
| 24 |
Equitable Coloring of Mycielskian of Some graphs |
V. Vivin K. Kaliraj |
Journal of Mathematical Extension |
11 |
2017 |
1-18 |
| 25 |
On Equitable Coloring of Corona of Wheels |
JV Vivin K Kaliraj |
Electronic Journal of Graph Theory and Applications |
4(2) |
2016 |
206-222 |
| 26 |
Star Edge Coloring of Corona Product of Path with Some graphs |
K. Kaliraj R. Sivakami VJ Vernold |
International Journal of Mathematical Combinatorics |
3 |
2016 |
115-122 |
| 27 |
On Equitable Colouring of Knodel graphs |
K. Kaliraj JV Vivin MM Akbar Ali |
International Journal of Computer Mathematics |
91(7) |
2014 |
1428-1433 |
| 28 |
Equitable Coloring of Corona Product of graphs |
H Furmaczyk, K Kaliraj, M Kubale, VJ Vivin |
Advances and Applications in Discrete Mathematics |
11(2) |
2013 |
103-120 |
| 29 |
Equitable Coloring On Mycielskian Of Wheels And Bigraphs |
K Kalimuthu, VV Joseph, AAM Moideen |
Applied Mathematics E-Notes |
13 |
2013 |
174-182 |
| 30 |
Harmonious coloring on double star graph families |
M Venkatachalam, VJ Vernold K Kaliraj |
Tamkang Journal of Mathematics |
43(2) |
2013 |
153-158 |
| 31 |
On equitable coloring of sun let graph families |
K Kaliraj, VJ Vivin, AMM Ali |
ARS Combinatoria |
103 |
2012 |
497-504 |
| 32 |
Equitable coloring on corona graph of graphs |
K Kaliraj, VJ Veninstine, VJ Vernold |
Journal of Combinatorial Mathematics and Combinatorial Computing |
81 |
2012 |
191-197 |
| 33 |
Equitable Coloring on Total Graph of Bigraphs and Central Graph of Cycles and Paths |
J Vernold Vivin, K Kaliraj, MM Akbar Ali |
International Journal of Mathematics and Mathematical Sciences |
2011 |
2011 |
1-5 |
| 34 |
On equitable coloring of Helm graph and Gear graph |
K Kaliraj, VJ Vernold |
International Journal of Mathematical Combinatorics |
4 |
2010 |
32-38 |
| 35 |
On harmonious coloring of total graphs of c (cn), c (k1, n) and c (pn) |
V Vivin, K Kaliraj |
Proyecciones (Antofagasta) |
29(1) |
2010 |
57-76 |
| 36 |
On equitable coloring of central graphs and total graphs |
MMA Akbar, K Kaliraj, JV Vivin |
Electronic Notes in Discrete Mathematics |
33 |
2009 |
1-6 |