DEPARTMENT OF MATHEMATICS & ACTUARIAL SCIENCE

Dr. P.S.Sheik Uduman

Designation:Professor
Nature of Employment:Regular
Qualification:M.Sc.,M.Phil,Ph.D
Phone:044- 22751347 -Extn:229(Office)
Email ID:sheikuduman@crescent.education

Academic Qualifications

YearDegree/DiplomaInstitutionUniversity
2009Ph.D.Jamal Mohamed College, Trichirappalli, Tamilnadu.Bharathidasan University
2000M. Phil (C.S.)St. Joseph College, Trichirappalli, Tamilnadu.Bharathidasan University
1998M. Phil (Maths)PoondiPushpam College, Tanjavur, Tamilnadu.Bharathidasan University
1988M.Sc.Jamal Mohamed College, Trichirappalli, Tamilnadu.Bharathidasan University
1991PGDCAJamal Mohamed College, Trichirappalli, Tamilnadu.Bharathidasan University
1992B.EdAnnamalai University Chidambaram

Work Experience

University/CollegeDesignationPeriod
B.S. Abdur Rahman Crescent Institute of Science& Technology, Chennai.Professor01.01.2023 – Till Date
B.S. Abdur Rahman Crescent Institute of Science & Technology, Chennai.Professr and Head01.08.2021 To 31.12.2022
B.S. Abdur Rahman Crescent Institute of Science & Technology, Chennai.Professor10.07.2018 to 31.07.2021
B.S. Abdur Rahman Crescent Institute of Science & Technology, Chennai.Professor and Dean SSSH15.05.2017 To 09.07.2018
B.S.Abdur Rahman University, Chennai.Professor and Head06.04.2014 To 14.05.2017
B.S.Abdur Rahman University,Chennai.Professor01.04.2011 to 05.04.2014
B.S.Abdur Rahman University,Chennai.AssociateProfessor01.04.2009 To 31.03.11
B.S.AbdurRahman Crescent Engineering College, ChennaiSelection Grade Lecturer01.12.2008 To 31.03.2009
Lecturer03.06.2002 To 30/11/2008
Khadir Mohideen College, AdirampattinamLecturer01.12.1994 To 20.04.2002

Research

Area of specialization

Inventory Control, Bio Mathematical Modeling and Fractional Calculus.

Publications

List of Papers Publication

  • S. Mohamed Yaceena, P. S. Sheik Uduman, Dowlath Fathima (2025) Existence and Uniqueness of Glucose-Insulin model Using Caputo-Fabrizio Fractional Derivative, TuijinJishu/Journal of Propulsion Technology ISSN: 1001-4055 Vol. 46 No.1.
  • S. Mohamed Yaceena, P. S. Sheik Uduman, Dowlath Fathima (2025) Uniqueness and Existence of Solutions for Drug Administration using Caputo Fabrizio Fractional Derivative, Indian Journal of Natural Sciences, Vol.15, Issue 87, ISSN: 0976-0997.
  • Arfan Parvaiz , Pattani Samsudeen Sheik Uduman (2025) Efficiency and Productivity analysis of PM2.5 and PM10 in eight Indian metropolitan cities, International Journal of Mathematics and Operational Research (accepted).
  • T. R. Rameshrao, P. S. Sehikuduman, A. Bernick Raj (2024), A Numerical Simulation of Time Fractional Rosenau-Hyman Equation, Tuijin Jishu/Journal of Propulsion Technology, Vol. 45No. 4(2024).
  • Arfan Parvaiz , Ashiq Mohd Ilyas , Pattani Samsudeen Sheik Uduman(2024) Evaluating air quality efficiency in the major Indian cities using a directional distance function approach , Environmental Health Engineering and Management Journal 2024, 11(4),441-450
  • Aadil Rashid Sheergojri, Pervaiz Iqbal,  P.S. Sheik Uduman, P. Mariappan Numerical analysis for the uncertainty-based tumour growth models in a fuzzy environment Int. J. Mathematics in Operational Research, Vol. X, No. Y, xxxx  PG and Research (accepted).
  • Imran Nadeem and P.S. Sheik Uduman (2023) A neural network approach to forecast particulate matter concentration in Manali area of Chennai City, Research Journal of Chemistry and Environment, Vol. 27, No.8, 2023년, 35 – 42.
  • M.V. Jeyanthi , P.S. Sheik Uduman, Solving Nonlinear Inventory Model for Deteriorating Items using Fractional Differential Method, Journal of Environmental Accounting and Management, 10(1), pp. 31-38, 2022.
  • H. Shameem Banu, P.S. Sheik Uduman, Kathamuthu Thamilmaran, Disparate synchronisation phenomena in diffusively coupled SC-CNN-based MLCV circuits: analytical, numerical and experimental, International Journal of Nonlinear Dynamics and Control by Inder science Publishers, Vol. 2, June 2022.
  • H.Shameem Banu, P.S. Sheik Udhuman and K Thamilmaran (2022)Disparate           synchronisation phenomena in diffusively coupled SC-CNN-based MLCV circuits: analytical, Numerical and experimental, International Journal of Non linear dynamics and controls, Vol. 2, No. 2, 2022.
  • Virendar Panwar P.S. Sheik Uduman and J.F. Gomez-Aguilar (2021) Mathematical Modelling of Corona virus Disease COVID-19 Dynamics using CF and ABC Non-Singular Fractional Derivatives, Chaos, Solitons & Fractals. Vol 145 April 2021,110757,Accepted 30 January2021.
  • Divya Arumugam and P.S. Sheik Uduman (2021), A Novel Fuzzy Arbitrary Order Predator-Prey Models, BULLETIN MONUMENTAL – ISSN / e-ISSN 0007-473X, (Web of science)
  • Divya Arumugam and P.S. Sheik Uduman (2021) analyzing the major reasons for smoking & obesity using induced fuzzy cognitive maps (ifcms),BULLETIN MONUMENTAL – ISSN / e-ISSN 0007-473X, Volume 22 : Issue 8 – 2021.
  • H. Shameem Banu and P.S. Sheik Uduman (2021), A Numerical and Analytical Study of Phase Synchronization in Coupled SC-CNN Based Non-Identical Chaotic Systems, J. Mountain Res, Vol. 16(2) Special Issue ICRAMS-2021.
  • Virendar Panwar and P.S. Sheik Uduman (2020), Uniqueness and existence ofsolutions for Mixed Immunotherapy and Chemotherapy cancer treatment fractional model with Caputo Fabrizio derivative, Progress in Fractional Differentiation and Applications An International Journal (accepted) 10.18576/pfda/PFDA-39A-19, 15Aug.2020
  • M.V. Jeyanthi , P.S. Sheik Uduman (2020) Solution of Fractional Inventory Model with Price Dependent Demand using Homotopy Perturbation Method, International Journal Of Science and Technology, Vol (29), No (6), 2020.
  • Imran Nadeem and P.S. Sheik Uduman, Analyzing and forecasting ambient air quality of chennai city in india, Geography, Environment, Sustainability. https://DOI-0.24057/2071-9388-2019-97,October1st,2020.
  • Sandeep Singhal and P.S. Sheik Uduman (2019), Impulsive fractional differential equation of order α(2,3),,“Impulsive fractional differential equation of order 𝛼𝜖 (2,3)”, Progress in fractional differentiation and applications,vol6, number4, 283-288.
  • H. Shameem Banu and P.S. Sheik Uduman, Chaos synchronization in coupled SC-CNN based variant of MLC circuit: An analytical study,International conference on recent Trends in electrical , control and communications IEEE Xplore28 January 2019.
  • Imran nadeem and P.S. Sheik Uduman (2019) An integrated bus – based routing and dispatching approach for flood evacuation, Yugoslav Journal of Operations Research,DOI:https://doi.org/10.2298/YJOR190415028N,December2019.
  • M.V. Jeyanthi and P.S. Sheik Uduman (2019), Fractional derivative inventory model for deteriorating items with no shortages, Progress in Fractional differentiation and applications (accepted).
  • H Shameem Banu, P.S. Sheik Udhuman and K Thamilmaran (2019)An analytical and experimental study of SC-CNN based simple non autonomous chaotic circuit Journal of Computational and Nonlinear Dynamics, 14(12),doi.org/10.1115/1.4044924, pp.121004-121014
  • H. Shameem Banu and P.S. Sheik Uduman (2019), ”Analytical and Numerical study of chaos synchronization in SC-CNN based non autonomous system”, AIP Conference proceedings, 2142, doi.org/10.1063/1.5122478, pp. 110018,29th August 2019.
  • H. Shameem Banu and P.S. Sheik UdumanChaos synchronization in coupled SC-CNN based variant of MLC circuit: An analytical study,International conference on recent Trends in electrical , control and communications IEEE Xplore28 January 2019.
  • Imran nadeem and P.S. Sheik Uduman (2019) An integrated bus – based routing and dispatching approach for flood evacuation, Yugoslav Journal of Operations Research,DOI:https://doi.org/10.2298/YJOR190415028N,December2019.
  • Imran nadeem and P.S. Sheik Uduman (2019) , A Heuristic Routing Approach for Flood Evacuation, International Journal of Management, Technology And Engineering, February 2019.
  • M.G.Fajlul Kareem and , P.S. Sehik Uduman (2018), The Numerical Solution of Chen-Non Linear Tumor Model by two different Transform Methods .International Journal of Pure and Applied Mathematics(IJPAM)-Vol120,No.7.1-9.
  • Sandeep Singhal and P.S. Sheik Uduman (2018) Uniqueness solution for impulsive fractional functional differential equation, Commun. Korean Math. Soc. 33 , No. 1,pp.171-177
  • M.V. Jeyanthi and P.S. Sheik Uduman (2018), Economic order quantity with selling price dependent demand and varied deterioration rates, International Journal of pure and applied MathematicsVol.119,No.13,PP.337-345
  • H. Shameem Banu and P.S. Sheik Uduman(2018) “An analytical study of SC-CNN based quasi periodically forced MLC International Journal of pure and applied Mathematics Volume119No.132018,163-171.
  • M.V. Jeyanthi and P.S. Sheik Uduman , An inventory model for deteriorating items with stock dependent demand trade credit policy, International Journal of Operational Research (Scopus Indexed).(Under Review-Communicated on April –2017).
  • Ms. A.K. Abidha, and P.S. Sheik Uduman(2017), Child Insurance Journals-An Overview, International journal of computer and mathematical science,Volumeno:6,Issue No 6,,Pages:48-49.
  • Pervaiz Iqbal and P.S. Sheik Uduman (2016) , Readability analysis of paper plant using Boolean function with fuzzy logic Techniques, International Journal of Applied Engineering Research,Vol11,1B,573-577.
  • M.G. Fajlul Kareem, P.S. Sheik Uduman (2016), A Study on some Bio-Mathematical Models using the Setting the clock back to zero property ,International Journal ofAppliedEngineeringResearch,Vol.10,Issue.42pg:30976-30983.2015
  • M.G. Fajlul Kareem, P.S. Sehik Uduman (2016),The Numerical solution of Chua Nonlinear Tumor model by three different Transform method, International journal Engineering studies,Vol.8,No.2pp.147-158
  • P.S. Sehik Uduman,Sandeep Singhal (2016),On a class of Extended Pathway Integral Transform, Global Journal of Pure and Applied Mathematics (GJPAM),Vol(12), Issue.S(2),Pg:99-102,2016,Scopus,MathSciNet
  • DivyaArumugam and P.S. Sheik Uduman(2016)“Modified Decagonal fuzzy cognitive maps(MDFCM) for ranking the risk factors of pregnancy induced by pretension (PIH)”,“Global Journal of Pure and Applied Mathematics” (GJPAM)ISSN 0973-1768Volume12,Number1
  • Divya Arumugam and P.S. Sheik Uduman (2016) “Ranking The Major Risk Factors Of Heart Disease for Men & women in cuddalore District using modified decagonalfuzzycognitiveMaps(MDFCM)”,“GlobalJournalofPureandAppliedMathematics” (GJPAM)ISSN 0973-1768Volume12,Number2.
  • Divya Arumugam and P.S.Sheik Uduman (2015).,Analyzing The Major Reasons For The Initial Stage Of Smokers Using Generalized Trapezoidal Fuzzy Cognitive Maps Roots International Journal  of Multidisciplinary Researches,Vol.01(1),pp.1-14
  • P.S. Sheik Uduman, A. Divya (2015) , A Review of Fuzzy Risk Analysis Model and Predator-Prey Model in Fuzzy, International Journal of Applied Engineering Research,Vol.10,Issue.42,pg:30969-30975
  • Pervaiz Iqbal and P.S. Sheik Uduman (2015),Job scheduling problem in a small scale measure of paper making industry.MalayaJournalofMathematika,5(1),,141-152
  • M.G. Fajlul Kareem, P.S. Sheik Uduman (2015), Multi Stage Homotopy-Perturbation Method for the Fractional Order Chua’s System, International Journal of Engineering Technology ScienceandResearchVol.2,Issue.5,pg:109-117.
  • M.G. Fajlul Kareem, P.S. Sheik Uduman (2015), Multi Stage Homotopy-Perturbation Method for the Fractional Order Chen’s System, Annals of Pure and Applied MathematicsVol.10,,Issue.1,pg:89-97.May2015
  • M.G. Fajlul Kareem, P.S. Sehik Uduman (2015) , Multi Stage Homotopy-Perturbation Method for the Fractional Order Lorenz’s System, International Journal of Computer &Mathematical SciencesVol.4,Issue.6,pg:1-9.
  • M.G. Fajlul Kareem,P.S. Sehik Uduman (2015),The Numerical solution of Differential Transform method for some Non Linear system of equations, Research and scientific Innovation Society,Vol.2,No.15,9-14.
  • Pervaiz Iqbal,P.S. SheikUduman(2014),Mathematical Modeling and Behavior of the Digestive System of a Paper Making Plant based on Queuing Theory, International Journal of Pure and Applied Mathematics,Vol.90,No.1,,43-56.
  • AsickAli and P.S. Sheik Uduman(2014),Mathematical Model Related to Human Life Expectancy, International Journal of Mathematics and Statistics Invention, Vol.2(3), pp.8-13,
  • Divya, P.S. SheikUduman and Dowlath Fathima (2014),Controlling of Heart Disease by Detecting the Threshold Value of Fast Food Eaters, International Journal ofComputingAlgorithm,Vol.3,pp.734-740
  • PervaizIqbal and P.S. SheikUduman (2014),“Mathematical Modeling and Performance Analysis of Stock Preparation Unit in Paper Plant Industry Using Genetic Algorithm”, in International Journal of Mathematical Sciences, Vol. 34, Issue. 2, pp.1629-1638.,
  • Pervaiz Iqbal and P.S. Sheik Uduman (2014), “Genetic algorithm for permutation flowshop scheduling problem to minimize the makespan”, in International Journal of Computing Algorithm, pp.1086-1091,Vol.03,Issue.02,
  • Dowlath Fathima and P.S. Sheik Uduman (2013), Single period inventory model with Stochastic demand and partial backlogging, International Journal of Management (IAEME),Vol.4,Issue1,,95-111.
  • M.V.Jeyanthi and P.S. Sheik Uduman (2013),Optimum Order Quantity with Time Lag and Truncated Distribution, Applied Mathematical Sciences, Vol. 7, Issue 14, , pp.679-685.
  • Dowlath Fathima and P.S. Sheik Uduman (2013), Truncated Distribution and Renewal Reward Theory In Single Period Model, International Journal Of Applied Mathematics,Vol.15,Issue1,,1110-1114.
  • M.G. Fajlul Kareemand P.S. Sheik Uduman (2013), Hybrid Dynamical System Analysis in Space Using SCBZ Property, Applied Mathematical Sciences, Vol. 7, no.74,3695–3702.
  • Divya Arumugam and P.S. Sheik Uduman (2013), FRM(Fuzzy Relation Maps) model of Hypertension problem faced by adult in Tamil nadu, International journalofcomputerapplications,Vol.82,No.9,7-11.
  • M.G Fajlul Kareem and, P.S. Sheik Uduman (2012) , Analysis of Hybrid Dynamical systems using SCBZ property, International Mathematical forum, Vol.7, No.23,1135-1142.
  • S. Srinivasan, P.S. Sheik Uduman and R Sathiyamoorthy (2012) , Determination of optimal reserve between two machines in series with truncation point in repair timedistribution,AppliedMathematicalSciences,Vol.6,No.100,4995-5004.
  • C.D Nanda kumar, S Srinivasan and P.S. Sheik Uduman (2012) , Optimal reserve inventory between two machines when the repair time has change of distribution after change point,InternationalMathematicalForum,Vol.7,No.54,,2659-2668.
  • Dowlath Fathima,P.S. Sheik Uduman and S Srinivasan (2011) ,Generalization of Newsboy Problem with Demand Distribution Satisfying the SCBZ Property, Int. J.Contemp.Math.Sciences,Vol.6,No.40,1989–2010.
  • P.S. SheikUduman, SSrinivasan, Dowlath Fathima and RSathiyamoorthy (2011), An Inventory Model with Change in Demand Distribution, Australian Journal of Basic and AppliedSciences,5(8),478-488.
  • P.S. Sheik Uduman, S Sulaiman and R Sathiyamoorthy (2008) , A stochastic model for reserve inventory between two Machines in series, Pure and Applied Mathematical Sciences,,No.1-2.
  • P.S. Sheik Uduman, S Sulaiman and R Sathiyamoorthy (2007), Newsboy inventory model with demand satisfying SCBZ property, Bulletin of Pure and Applied sciences,Vol.26E(No.1),,145-150.
  • P.S SheikUduman, S.Sulaiman and RSathiyamoorthy(2007), Determination of Optimal Reserve inventory between two machines in series using Order Statistics, International Journal of Physical sciences,Vol.19(3)M,7,497-502.

International Conference

  • Sandeep Singhal and P.S. SheikUduman-“Impulsive fractional differential equation of order α (2,3) “International Conference on Mathematical Analysis and Applications in Modeling -( 9th – 12th January 2018) Jadavapur University, Kolkatta. –Sponsored by NBHM.
  • Sandeep Singhal and P.S. Sheik Uduman –“Introduction to class of uniformly fractional differential function using caputo    derivative “National Conferenceon Fractional Calculus & Fractional Differential Equations (6th -8th November2017) Pune University, Pune.
  • A. Divya and P. S. Sheik Uduman, Detecting the major risk factors for Hypertensive Heart Disease using Induced Fuzzy Cognitive Maps, International Conference on Mathematical Methods and Computation, Jamal Mohamed College, Tiruchirapalli,22-23rdJanuary2015.
  • Pervaiz Iqbal and P.S. Sheik Uduman, Applications of Johnson’s Algorithm for finding the shortest path of a Network using sequencing technique to compute the optimal route. International Conference on Mathematical Methods and Computation, Jamal Mohamed College, Tiruchirapalli,22-23rdJanuary2015.
  • M.G. Fajlul Kareem and P.S. Sheik Uduman, Mathematical Modelling of Biological Problems and its Numerical Analysis. International Conference on Mathematical Methods and Computation, Jamal Mohamed College, Tiruchirapalli, 22-23rd January2015.
  • P.S.SheikUduman, Sandeep Singhal, Extended Pathway Integral Transformer, International Conference on Nonlinear Systems and Dynamics. Indian Institute of Science Education&Research,Mohali.13-15th March2015.
  • M.G.Fajlul Kareem P.S.Sehik Uduman, A Study on Fokker Planck and Burgers Equation by Space two Fractional Derivatives3rd International Conference on Emerging Trends in Scientific Research (ICETSR-728) Asian Economic and Social Society andPak Publishing Group, Kualalumpur, Malaysia April 2015 “BEST PAPER AWARD”.
  • A. Divya, P. S. Sheik Uduman Analyzing the major reasons for the initial stage of smokers using Generalized Trapezoidal Fuzzy Cognitive Maps National Conference on Recent Development in Mathematics and its Applications, The Madhura College, Madurai 9th January2015.
  • M.G. Fajlul Kareem and P.S. Sheik Uduman, A Study on some Bio – Mathematical Models using the Setting the Clock Back to zero property National Conference on Recent Trends in Science, Engineering & Management. Tagore Engineering College, Chennai 20th March2015.
  • A.Divya,P.S.SheikUdumanAReviewofFuzzyRiskAnalysisModelAndPredator – Prey Model in Fuzzy National Conference on Recent Trends in Science, Engineering & Management. Tagore  Engineering College, Chennai 20th March2015.
  • M.V. Jeyanthi and P.S. Sheik Uduman, An EOQ Model with Deteriorating items under inflation and time varying holding cost. International Conference on Modeling andSimulations, IIT-Madras,8-10th December2014.
  • Dowlath Fathima, Dr. P.S. Sheik Uduman Base stock patient vs impatient customer with varying demand distribution International Conference on Mathematical Sciences and Statistics(ICMSS-203),Kualalumpur,Malaysia,529-533,2013.
  • Pervaiz Iqbal  Dr.P.S.Sheik Uduman, Job sequencing problem using Advance Heuristics Techniques, International Conference on Applied Mathematics and Theoretical computer sciences (ICAMTCS-2013),St Xavier catholic college of Engineering Nagercoil,Tamilnadu,India,15-18,2013.
  • M.G. Fajlul Kareem , P.S. Sheik Uduman, Numerical solution of hybrid dynamical system using mixture of Elzaki transform and differential transform method International Conference on Mathematical Computer Engineering Division of Mathematics,SchoolofAdvancedSciences,VIT-Chennai,29-30thNovember2013.
  • Dowlath Fathima Dr. P.S. Sheik Uduman, A Finite Process Inventory Model Using SCBZ property, Proceedings of the International conference on Mathematics in Engineering and Management,2012.
  • Dr. S. Srinivasan, Dr.P.S. Sheik Uduman A Novel method of Over lapping Clusters, International Symposium Organized by Nanyang University,Singapore Aug.2010.
  • Mr.C.D.Nandakumar, Dr.S.Srinivasan, Dr.P.S.Sheik Uduman On  Determination of Optimal Reserve Inventory between Two Machines with change in Revamp Time, International Conference on Emerging Trends in Mathematics and ComputerApplication,byMepcoSchlenkEngineering,Sivakasi,214-216,Dec.2010
  • Dr. P.S. Sheik Uduman Dr. S. Srinivasan, Fractal based feature Extraction method,International Conference on Mathematical Applications in Engineering, Malaysia, 978-983,2010
  • Dr. P.S. Sheik Uduman Dr. S. Srinivasan, Base Stock System for Patient Customers with Demand Distribution undergoing a change with constant coefficient, International Conference on Emerging Trends in Mathematics and Computer Application, Organized by Mepco Schlenk Engineering,Sivakasi192-194,Dec.2010
  • Mr. M.G. Fajlul Kareem Dr. P.S. Sheik Uduman, An Inventory model for Patient Customers with Demand Distribution, International Conference on Emerging Trends in Mathematics and Computer Application, Organized by Mepco Schlenk Engineering, Sivakasi195-197,Dec.2010.

National Conference

  • Sandeep Singhal and P.S.Sheik Uduman –“Introduction to class of uniformly fractional differential function using caputo    derivative “National Conference on Fractional Calculus & Fractional Differential Equations (6th -8th November2017) Pune University, Pune.
  • A. Divya, P. S. Sheik Uduman Analyzing the major reasons for the initial stage of smokers using Generalized Trapezoidal Fuzzy Cognitive Maps National Conference on Recent Development in Mathematics and its Applications, The Madhura College, Madurai 9th January2015.
  • M.G. Fajlul Kareem and P.S. Sheik Uduman, A Study on some Bio – Mathematical Models using the Setting the Clock Back to zero property National Conference on Recent Trends in Science, Engineering & Management. Tagore Engineering College, Chennai 20th March2015.
  • A.Divya, P.S.SheikUduman A Review of Fuzzy Risk Analysis Model And Predator – Prey Model in Fuzzy National Conference on Recent Trends in Science, Engineering & Management. Tagore  Engineering College, Chennai 20th March2015.
  • A. Divya, P. S. Sheik Uduman Controlling of Heart Disease by Detecting the Threshold Value of Fast Food Eaters in Tamil Nadu National Conference on Recent Trends in Applied Mathematics St. Josephs College of Arts & Science, Cuddalore, 28th February 2014.
  • P.S.Sheik Uduman Non linear study of Hybrid Dynamical Bio-system using SCBZ property,2012.
  • M.G.Fajlul Kareem and P.S.Sheik Uduman “Some Resultson Total Face Graphs”, B.S. Abdur Rahman University, 2010.

Ph.D.  Scholars Awarded

Nine scholars have successfully completed their Ph.D. degrees under my supervision.

Their thesis titles are as follows:

  • A stochastic modeling with varying demand distributions in inventory control.
  • Mathematical modeling, performance analysis and optimization of operating system of paper plant.
  • Analyzing the Risk Factors of Heart Disease Using Fuzzy Models.
  • Analysis of Nonlinear Mathematical Models of Tumor Growth.
  • Analytical and Experimental studies on Chaos, Strange Non-chaos and Synchronized chaos in certain SC-CNN based Nonlinear Dynamical systems.
  • Single Period Inventory Model for Deteriorating Items with Varying Demand and Fractional Derivatives.
  • Development of Theorem using Fractional calculus with Impulsive conditions and Caputo’s derivative.
  • Forecasting of air pollution of Chennai city in India using statistical methods.
  • Bio mathematical models with Caputo – Fabrizio and Atangana – Baleanu in caputo sense fractional operators.

Ph.D. Scholars (Viva Voce to be Conducted & Pursuing)

 Currently Four research scholars pursuing their Ph.D. under my supervision. In that  two scholars are awaiting for Viva-Voce examination with the following research titles;

  • A study on air quality efficiency and productivity of major Indian Cities: A directional distance function approach.
  • A study on conformable fractional operator and its application to alcohol consumption dynamics.

Invited Talks

  •  Special lecture on “The Role of Operation Research in Modern Commerce” on 9th April 2025 at Vels Institute of Science, Technology & Advanced Studies (VISTAS), Pallavaram, Chennai, India.
  • Special lecture on “Mathematical Models in Biology: A Differential Equation Approach” on 9th May 2025 at St. Joseph University, Chennai.
  • Invited talk Department of mathematics in association with IQAC organizing on Applications of Non linear differential equations, on Jan.2023 ,St. Joseph college , Chennai.
  • Invited talk on“ Application of Bio Modeling –Predicting the Time of Heart Attack using Fuzzy Arbitrary Predator-Prey Model in the Bishop Heber International Conference on Applied Mathematics,  Management, Computer Science and Statistics organized by PG Research Department of Mathematics, Bishop Heber College on 18th March 2022.
  • Invited chief guest as “math Expo-2022” at Chaitanya Techno School Pallavaram-2 on 23 rd December, 2022.
  • Invited as special talk on role of differential & fractional calculus in bio-modeling on 25th  Dec.2022 in the occasion of Ramanujam birth anniversary.
  • Invited Talk on “Predicting the time of Heart Attack in fractional Order by Fuzzy Arbitrary Order Predator-Prey Model” in the National Conference on RECENTTREND IN COMPUTER SCIENCE AND MATHEMATICS organized by School of Computer Information and Mathematical Science on April 4 and 5 , 2019 to beheld in B.S. Abdur Rahman crescent Institute of Science and Technology, Tami Nadu.
  • Invited Talk on “A Role of Fractional calculus in Bio Modeling” – International conference on Mathematical analysis and Applications in Modeling ( 9th – 12th January2018) Jadavapur University, Kolkatta.- Sponsored by NBHM.
  • Guest Lecture on “A Role of Fractional calculus in Bio Modeling” – Department of Bio Technology (DBT) Funned seminar on Bio Mathematical modeling dated on (14-03-2018) at Vellalar College for women (Autonomous).
  • Invited talk on “Predicting the time of Heart Attack in fractional Order by Fuzzy Arbitrary Order Predator-Prey Model ” 9th International Conference on Quality, Reliability, Info   com   Technology    and    Business    Operations (ICQRIT’2018)” scheduled to be held in University of Delhi from 27th Dec- 29th Dec2018 and Co-Sponsored by Lulea University of technology Sweden and Ministry of Defence, India.
  • Special lecture on “Fractional Modelling and control”, (Dept. of E&I, B.S. Abdur Rahman University)
  • Special lecture on“ Symmetry for a projection International school award” conducted by the Britishcouncil (Crescent Boys School, Vandalur)
  • Special lecture on “Fractional Calculus” at Justice Basheer Ahmed Sayeed College for Women, Chennai.

Workshops & Conferences Organized

  • Eleventh Annual Conference of ADMA & Graph Theory Day – XI on June (10-12, 2015), S. Abdur Rahman Crescent Institute of Science and Technology, Chennai.
  • Crescent International Conference on Applied Mathematics, Actuarial Science, Management and Computer Science on 11 January 2023, S. Abdur Rahman Crescent Institute of Science and Technology, Chennai.

Highlights of Awards and Honours received

  • Received Appreciation Letter from Chaos, Solitons & Fractals (Science Direct) for a paper titled “Mathematical Modeling of Corona virus Disease COVID-19 Dynamics Using CF and ABC Non-Singular Fractional Derivatives” with IF-5.9 cited by 45, December 2023.
  • Distinguished Alumnus Award Awarded by Jamal Mohamed College, Trichy, August 2019
  • Acted as Judge Jawaharlal Nehru Science, Mathematics and Environmental Exhibition, Nandhivaram Govt. Girls Hr. Sec. School, August 2017.
  • Best paper Award Awarded by Asian Economic and Social Society and Pak Publishing Group, Kuala Lumpur, Malaysia, 2015.
  • Research Incentive Award Awarded by B.S.Abdur Rahman Crescent Institute of Science and Technology every year.
  • One research scholar had received the UGC Fellowship (Maulana Azad National fellowship for Minority Community) since1stApril 2010 for five years.

Panel Member

  • Faculty Recruitment member of Aalim Mohammed sleigh Engineering College, Chennai.
  • BOS and Academic Council Member of S. Abdur Rahman Crescent Institute of Science and Technology, Chennai.
  • Academic Audit Expert Member AMET University, Chennai.
  • BOS Expert Member AMET University, Chennai.
  • Academic Council member Prince Dr. Vasudevan College of Engineering and Technology (Autonomous).
  • Research advisory member Vellore Institute of Technology , Vellore.