Dr. P.S.Sheik Uduman

Academic Qualifications

Work Experience

Research

Area of specialization

Inventory Control, Bio Mathematical Modeling and Fractional Calculus.

Publications

List of Papers Publication

• 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 Sheik Uduman,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.
• P.S. Sheik Uduman, S Sulaiman and R Sathiyamoorthy (2008) , A stochastic model forreserve inventory between two Machines in series, Pure and Applied Mathematical Sciences,,No.1-2.
• DowlathFathima, P.SSheik Uduman and S Srinivasan (2011) ,Generalization ofNewsboy Problem with Demand Distribution Satisfying the SCBZ Property, Int. J.Contemp.Math.Sciences,Vol.6,No.40,1989–2010.
• P.S Sheik Uduman, S Srinivasan, Dowlath Fathima and R Sathiyamoorthy (2011), An Inventory Model with Change in Demand Distribution, Australian Journal of Basic and Applied Sciences,5(8),478-488.
• M.G Fajlul Kareem and, P.S Sheik Uduman(2012) , Analysis of Hybrid Dynamicalsystems 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,Applied Mathematical Sciences,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 afterchange point,International Mathematical Forum,Vol.7,No.54,,2659-2668.
• Dowlath Fathima and P.S Sheik Uduman (2013), Single period inventory model with Stochastic demand and partial back logging, International Journal of Management (IAEME),Vol.4,Issue1,,95-111.
• M.V.Jeyanthi and P.S Sheik Uduman (2013), Optimum Order Quantity with Time Lagand 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 Tamilnadu, International journal of computer applications,Vol.82,No.9,7-11.
• Pervaiz Iqbal,P.S Sheik Uduman(2014),Mathematica 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.
• Asick Ali 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.Sheik Uduman and Dowlath Fathima(2014),Controlling of Hear disease by Detecting the Threshold Value of Fast Food Eaters, International Journal of Computing Algorithm,Vol.3,pp.734-740
• Pervaiz Iqbal and P.S.Sheik Uduman(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,
• DivyaArumugam 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 andPredator-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. Malaya Journal of Mathematika,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 EngineeringTechnologyScienceandResearchVol.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 &MathematicalSciencesVol.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 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
• Divya Arumugam and P.S.Sheik Uduman(2016)“ Modified Decagonal fuzzy cognitive maps(MDFCM) for ranking the risk factors of pregnancy induced hypertension(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 FactorsOf Heart Disease for Men & women in cuddalore District using modified decagonal fuzzy cognitive Maps(MDFCM)”,“Global Journal of Pure and Applied Mathematics” (GJPAM)ISSN 0973-1768Volume12,Number2.
• 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.
• 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 pureandappliedMathematicsVol.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 Volume119 No.132018,163-171
• H Shameem Banu, P.S.Sheik Uduman 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 August2019.
• 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 IEEEXplore:28 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 ecology And Engineering, February 2019.
• M.V. Jeyanthi and P.S. Sheik Uduman (2017) , An inventory model for deteriorating items with stock dependent demand and trade credit policy, International Journal of Operational Research (Scopus Indexed).(Under Review-Communicated on April –2017)
• 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, number 4, 283-288.
• M.V.Jeyanthi,P.S.Sheik Uduman and Dowlath Fathima (2020) Solution of fractional Inventory Model with Price Dependent Demand using homotopy Perturbation Method, Int. Journal of Advanced Science and Technology, Vol.29,No.6,6803-11,2020.
• 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
• 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).
• Virendar Panwar P.S. Sheik Udumand (2020), Uniqueness and existence of solutions 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.
• 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 30 January 2021.
• 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,
• M.V. Jeyanthi, P.S. Sheik Uduman, Dowlath Fathima (2022) Solving Nonlinear Inventory Model for Deteriorating Items using Fractional Differential Method, Journal of Environmental Accounting and Management 10(1) (2022) 31–38 | DOI:10.5890/JEAM.2022.03.004.
• H.Shameem Banu, P.S.Sheik Udhuman and K Thamilmaran (2022) Disparate synchronization phenomena in diffusively coupled SC-CNN-based MLCV circuits: analytical, Numerical and experimental, International Journal of Nonlinear dynamics and controls, Vol. 2, No. 2, 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 Inter science Publishers, Vol. 2, June 2022.
• 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.
• Imran Nadeem and P.S. Sheik Uduman (2023) A neural network approach to forecast particulate matter concentration in Manali area of Chennai City, ResearchJournalof Chemistry and Environment (Accepted).

International Conference

• 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.SheikUduman On Determination of Optimal Reserve Inventory between Two Machines with change in Revamp Time,InternationalConferenceonEmergingTrendsinMathematicsandComputerApplication,by Mepco Schlenk Engineering,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, OrganizedbyMepcoSchlenkEngineering,Sivakasi192-194,Dec.2010
• Mr. M.G. Fajlul KareemDr. 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, Sivakasi 195-197,Dec.2010.
• 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.
• 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.
• PervaizIqbal Dr.P.S.Sheik Uduman, Jobs sequencing problem using Advance Heuristics Techniques, International Conference on Applied Mathematics and Theoretical computer sciences (ICAMTCS-2013),St Xavier catholic college of EngineeringNagercoil,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, School of Advanced Sciences,VIT-Chennai,29-30thNovember2013.
• 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,8-10thDecember2014.
• 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 an s Numerical Analysis. International Conference on Mathematical Methods and Computation, Jamal Mohamed College, Tiruchirapalli, 22-23rd January2015.
• P.S.Sheik Uduman, 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 and Pak Publishing Group, Kualalumpur, Malaysia April 2015“BESTPAPERAWARD”.
• Sandeep Singhal and P.S.Sheik Udhuman-“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. -SponsoredbyNBHM.

National Conference

• M.G.Fajlul Kareem and P.S.Sheik Uduman“ Some Resultson Total Face Graphs”, B.S.Abdur Rahman University, 2010.
• P.S.Sheik Uduman Nonlinear study of Hybrid Dynamical Bio-systems using SCBZ property, 2012.
• 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.
• 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 January 2015.
• M.G. Fajlul Kareem andP.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,Chennai20thMarch2015.
• A.Divya,P.S.Sheik Uduman A Review of FuzzyRisk Analysis Model And Predator– Prey Model in Fuzzy National Conference on Recent Trends in Science, Engineering & Management. Tagore Engineering College,Chennai 20th March 2015.
• Sandeep Singhal and P.S.Sheik Udhuman –“Introduction to class of uniformly fractional differential function using caputo derivative”National Conference on Fractional Calculus & Fractional Differential Equations(6th-8thNovember2017) Pune University ,Pune.

Ph.D.Awarded

Eight scholars have completed and one scholar submitted Ph.D thesis in the following topics

• 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

Pursuing Ph.D.

• At present Four Scholars are pursuing Ph.D.
• One research scholar had received the UGC Fellowship (Maulana Azad National fellowship for Minority Community) since 1st April 2010 for five years

Invited Talks

• Special lecture on “Fractional Modeling and control”, (Dept. of E&I, B.S. Abdur Rahman University)
• Special lecture on“ Symmetry for a projecton International school award” conducted by the British council (Crescent Boys School, Vandalur)
• Special lecture on “Fractional Calculus” at Justice Basheer Ahmed Sayeed College for Women, Chennai.
• 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 Defense, India.
• ·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 be held in B.S.Abdur Rahman crescent Institute of Science and Technology, TamilNadu.
• ·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 as chief guest math Expo-2022” at Sri &Chaitanya& Techno&School,& Pallavaram& – 2 on 23rd 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 at SIVET college Gowrivallam.

Highlights of Awards and Honours received

• Distinguished Alumnus Award Awarded by Jamal Mohamed College, Trichy, August 2019
• Research Incentive Award Awarded by B.S. Abdur Rahman Crescent Institute of Science and Technology every year.
• Best paper Award Awarded by Asian Economic and Social Society and Pak Publishing Group, Kuala Lumpur, Malaysia, 2015.
• Acted as Judge Jawaharlal Nehru Science, Mathematics and Environmental Exhibition, Nandhivaram Govt. Girls Hr. Sec. School, August 2017.
• 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 ( 2021) with IF-5.9 cited by 41 – December 2022.