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From the Desk of the Vice Chancellor

Greetings!

As the Vice Chancellor of this premier university, I am extremely pleased to share this space to converse with all of you. The University of Madras is a post- sesquicentennial institution which has forged a glorious path for itself and has been the site for significant scientific discoveries as well as the beacon for national and regional societal transformation. It has successfully managed to hold aloft its tradition even while keeping up with the emerging trends. One reason for this is the way in which the university has kept alive its interactions with all the stakeholders.

The COVID 19 pandemic has introduced a ‘new normal’ and its impact is felt in the workings of the university as well. The students have been attending the lectures online. While online learning has the advantage of being anytime and anywhere, it has taken away the peer group interaction and peer learning which are integral aspects of the university experience. We look forward to welcoming you to the campus very soon. Meanwhile, our faculty and administration will continue to bring the best to the virtual classrooms. As students, you need to view the restrictions posed by the pandemic as a temporary deterrent. Your focus should be to gain the competencies to conduct application oriented research in order to evolve as useful citizens of our society.

Our university boasts of faculty with a high degree of knowledge and commitment to offer the best in teaching and research. Given the context of the pandemic, we need to redefine our teaching-learning processes to offer the best pedagogic experience to our students. Similarly, the post-pandemic era demands that we hone the employment potential and entrepreneurial capacity of our learners. This necessitates that we focus on sponsored research in cutting edge areas.

Our administrative staff have been the backbone of the university. While we move towards a transparent and complete e-governance model, we need more support from you. When the teaching-learning process at our university – from admission to certification -- is moving into the digital era, your skills and competencies need to keep pace.

At our university, we are gearing up for the final round of NAAC re-accreditation. This has offered us an opportunity to assess our Strengths, Weaknesses, Opportunities and Challenges. Further, it has made us more determined to reiterate our quality benchmarks in teaching, research and extension activities. We are aware of this responsibility and fully prepared for it because, our university has always encouraged individual thinking within the established frameworks. This is echoed in the words of Tim Burners Lee, who initiated the World Wide Web: “We are forming cells within a global brain and we are excited that we might start to think collectively. What becomes of us still hangs crucially on how we think individually.” Let us unite to make the educational experience at the University of Madras a synergy of the best minds and best thoughts.

Prof.Dr.S.Gowri

Vice-Chancellor
University of Madras

Dr. K. KalirajPh.D.

Assistant professor
Department of Ramanujan Institute for Advanced Study in Mathematics
1

Awards

54

Publications

6

Seminars / Conference

2

Projects

4

Ph.D Awarded

1

Ph.D Present

Publications

Articles (Total Articles: 17)

# Title Author Publisher Volume Year Page(s)
1  Finite time stability of neutral multiterm fractional order time-varying delay systems K. Kaliraj, P. K. Lakshmi Priya, V. Tamilarasan, S. Suresh Journal of Computational and Applied Mathematics 461 2025 116459
2 Discussions on Sobolev type Neutral Nonlocal fractional differential equation K. Kaliraj, M. Manjula, E. Thilakraj, C. Ravichandran, Kottakkaran Sooppy Nisar, Yousef A. Baker El-Ebiary, Ahmad O. Hourani Partial Differential Equations in Applied Mathematics 13 2025 101018
3      An investigation of Fractional Mixed Functional Integro-Differential Equations with Impulsive Conditions K. Kaliraj,U.Aswini, C. Ravichandran, K. Logeswari, KottakkaranSooppy Nisar, Discontinuity, Nonlinearity, and Complexity 13(1) 2024 189-202
4  New Results on Controllability Analysis for Sobolev-Type Volterra-Fredholm Functional Integro-Differential Equation in Banach Space K. Kaliraj, E. Thilakraj, C. Ravichandran Discontinuity, Nonlinearity, and Complexity 13(2) 2024 247-256
5  Analysis on nonlinear differential equation with a deviating argument via Faedo–Galerkin method M. Manjula, E. Thilakraj, P. Sawangtong, K. Kaliraj Results in Applied Mathematics 22 2024 100452
6  On r-Hued Coloring of Corona Product of Some Graphs Kalimuthu Kaliraj, Joseph Vernold Vivin, Ganesan Thangaponnu Tamilselvan. Missouri Journal of Mathematical Sciences 36(1) 2024 121-129
7  New investigation on controllability of sobolev-type Volterra-Fredholm functional integro-differential equation with non-local condition E. Thilakraj, K. Kaliraj, C. Ravichandran, M. Manjula, Results in Control and Optimization 15 2024 100418
8 Existence of a mild solution for a fractional impulsive differential equation of the Sobolev type including deviating argument Kottakkaran Sooppy Nisar, Kalimuthu Kaliraj, Mohan Manjula, Chokkalingam Ravichandran, Suliman Alsaeed, Shankar Rao Munjam Results in Control and Optimization 16 2024 100451
9    Relative controllability for ψ−Caputo fractional delay control system, K. Muthuvel, K. Kaliraj, Kottakkaran Sooppy Nisar, V. Vijayakumar Results in Control and Optimization, 16 2024 100475
10 Finite-Interval Stability Analysis of Impulsive Fractional-Delay Dynamical System K. Kaliraj, P. K. Lakshmi Priya, Juan J Nieto Fractal and Fractional 7(6) 2023 447
11 A study on the approximate controllability results of fractional stochastic integro-differential inclusion systems via sectorial operators.  K. Kaliraj, K. Muthuvel An International Journal of Optimization and Control: Theories & Applications 13(2) 2023 193-204
12  Existence of solution for Volterra–Fredholm type stochastic fractional integro-differential system of order μ ∈ (1, 2) with sectorial operators K. Kaliraj, K. Muthuvel Mathematical Methods in the Applied Science 46(12) 2023 13142-13154
13  Scrutinization of finite time stability of fractional impulsive neutral model with disturbance P.K. Lakshmi Priya, K. Kaliraj ISA Transactions 142 2023 70-82
14 Existence of solution for Volterra–Fredholm type stochastic fractional integro?differential system of order μ ∈ (1, 2) with sectorial operators K Kaliraj, K Muthuvel Mathematical Methods in the Applied Sciences 46 2023 13142-13154
15 Finite-Interval Stability Analysis of Impulsive Fractional-Delay Dynamical System K. Kaliraj, P. K Lakshmi Priya, Juan J. Nieto Fractal and Fractional 7 2023 447
16 Relative Controllability of ψ-Caputo Fractional Neutral Delay Differential System Kothandapani Muthuvel, Panumart Sawangtong, Kalimuthu Kaliraj Fractal and Fractional 7 2023 437
17 Existence criteria for fractional differentiale quations using the topological degree method Kottakkaran Sooppy Nisar, Suliman Alsaeed, Kalimuthu Kaliraj, Chokkalingam Ravichandran, Wedad Albalawi, Abdel-Haleem Abdel-Aty AIMS Mathematics 8 2023 21914-21928

Papers (Total Papers: 1)

# Title Author Publisher Volume Year Page(s)
1 On Equitable Coloring of Wheel Graph Families J.Vernold Vivin, K.Kaliraj Proceedings of International Conference on Mathematical and Computational Models ICMCM 09 2009 248-251

Journals (Total Journals: 36)

# Title Author Publisher Volume Year Page(s)
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
// FLASH NEWS //
  • University of Madras attains category - 1 status from UGC |  NIRF Ranking - Ranked 39 in University Category 2024 |  University of Madras has been graded A++ in the NAAC Assessment

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