Dr. J. Kavitha, , Assistant Professor
Department of Mathematics,
Phone:914274099784;
SONA College of Technology
Salem – 636 005. India
Email: kavitha.j@sonatech.ac.in
ACADEMIC PROFILE:
Degree 
Institution & University 
Year of Passing 
Class obtained 
Ph D 
Thiruvalluvar Government Arts College (Affili. Periyar University) 
2017 

M.Phil 
Madurai Kamarajar University 
2004 
First class 
M.Sc 
C.Kandaswamy Naidu college for women(University of Madras) 
2003 
First Class 
B.Sc 
C.Kandaswamy Naidu college for women(University of Madras) 
2001 
First Class 
Academic & Industrial Career:
University / College 
Designation 
Period 
Sona College of Technology 
Assistant Professor 
August 2017  till date 
Thiruvalluvar Government Arts College, Rasipuram 
Ph.D Research Scholar(FullTime) 
February 2014May 2017 
Vysya College, Salem. 
Assistant Professor 
June 2007 – October 2007
June 2009April 2013 
Mailam Engineering College , Mailam 
Lecturer 
June 2006 – May 2007 
Thiruvalluvar University, Vellore 
Guest Lecturer 
October 2004 – October 2005 
Area of Expertise:
 FractionalPartial Differential Equations, Mathematical Biology, Nonlinear Dynamics.
Teaching interests and subjects taught:
Under Graduate 
Post Graduate 
 Engineering Mathematics I
 Engineering Mathematics II
 Probability and Random process
 Real analysis

Algebra
Number theory
Partial differential equation
Mechanics
Real analysis 
Departmental Activities:
 Transit course Cocoordinator
 NBA and NAAC Work
Other Link:
Research Accomplishments:
Publication in International Journals
 V.Sadhasivam, J.Kavitha and M.Deepa,”Existence of solutions of threedimensional fractional differential system” Applied Mathematics, 8(2) (2017), 193208.
 V. Sadhasivam, J. Kavitha and M. Deepa, “On the Oscillation of Nonlinear Fractional Partial Differential Equations,”Global Journal of Pure and Applied Mathematics,13(5), ( 2017) 223231·
 V. Sadhasivam, J. Kavitha and M. Deepa, “On the Oscillation of Nonlinear Functional Partial Differential Equations,” Journal of Computational Mathematica,1(2), ( 2017) 3039·
 4.V. Sadhasivam, J. Kavitha and N.Nagajothi, “Oscillation of neutral fractional order partial differential equations with damping term”, International Journal of Pure and Applied Mathematics, 115 (9) (2017) 4764.
 V.Sadhasivam and J.Kavitha“On the Oscillation of Solutions of Fractional vector partial Differential Equations with Deviating Arguments”, American Review of Mathematics and Statistics, 5(1)(2017) 4557.
 V.Sadhasivam, J.Kavitha and M.Deepa“Oscillation of Neutral Nonlinear Fractional Differential Equations”,The Journal of Indian Academy of Mathematics, 39(2) (2017)159173.
 V.Sadhasivam and J.Kavitha, "Forced Oscillation Of Fractional Order Partial Differential Equations With Damping And Functional Arguments", International Journal of Pure and Applied Mathematics, 106 (7) (2016) 89107. (ISSN:13143395), doi: 10.12732/ijpam.v106i7.11.
 V. Sadhasivam, J. Kavitha and T. Raja,” Forced Oscillation of Impulsive Neutral Hyperbolic Differential Equations,” International Journal of Applied Engineering and Research, 11(1) (2016), 5863. http/www.ripublication.com/ijaer.htm.
 V.Sadhasivam and J.Kavitha“Interval Oscillation Criteria For Fractional Partial Differential Equations With Damping Term” Applied Mathematics, 7(3)(2016) 272291. (ISSN:21527393), http://dx.doi.org/10.4236/am.2016.73025.
 V.Sadhasivam and J.Kavitha ,”Forced Oscillation For A Class OfFractional Parabolic Partial Differential Equations" Journal of Advances in Mathematics, 11(6) (2015), 53695381. ISSN 23471921 www.cirjam.com.
 V. Sadhasivam, J. Kavitha and T. Raja, ”Forced Oscillation of Nonlinear Impulsive Hyperbolic Partial Differential Equation with Several Delays,” Journal of Applied Mathematics and Physics, 3 (2015), 14911505. http://dx.doi.org/10.4236/jamp.2015.311175.
 V.Sadhasivam and J.Kavitha “Positive Periodic solutions of Discrete Time Periodic delay Predator Prey System”International Journal of Scientific and Innovative Mathematical Research (IJSIMR) Special Issue 3(2), 2015, 415422, ISSN 2347307X(print) WWW.arcjournals.org.
 V. Sadhasivam, J. Kavitha and T. Raja, Existence of Positive Periodic Solutions of a Discrete Nonselective Harvesting of a PredatorPrey Fishery System with Time Delays, International Journal of Scientific and Innovative Mathematical Research, 3(Special Issue 2)(2015), 655663.
 V.Sadhasivam and J.Kavitha” Forced Oscillation of Solutions of a Fractional Neutral Partial Differential Equation” Applied Mathematics,6 (8) (2015) 13021317. (ISSN:21527393), http://dx.doi.org/10.426/am.2015.68124.
 V.Sadhasivam and J.Kavitha” Forced Oscillation of Solutions of a Neutral Nonlinear Fractional Partial Functional Differential Equation” International Journal of Applied Engineering Research, 10 (72) (2015) 183188. (ISSN:09734562).
 16. V.Sadhasivam,J.Kavitha and M.Sudha “Stability of fractional PreyPredator model with an alternative food for the Predator” Sacred Heart Journal of Science and Humanities, Special Issue 6 (2) 2015, 4963, ISSN:22776613).
Papers Revised/ Under Review/ Communicated/ to be Communicated/ Under Progress
 V.Sadhasivam and J.Kavitha, “Existence of solutions for boundary value problem of nonlinear integrodifferential equations of fractional order" (to appear in the journal of Nonlinear Dynamics and Discontinuity, nonlinearity and complexity).
 V. Sadhasivam, J. Kavitha and M. Deepa, “Existence of Solutions for higher order three dimensional Fractional differential system at resonance” (communicated to the journal).
 V.Sadhasivam and J.Kavitha“On the Oscillation of Solutions of Fractional Nonlinear Neutral Partial Differential Equations with Continuous Distributed Deviating Arguments and Damping Term” (to appear in The Journal of Indian Academy of Mathematics).
 V.Sadhasivam and J.Kavitha“On the Oscillation of Fractional EmdenFowler Type Neutral Partial Differential Equations”,submittedin theJournal.
Publication in International / National Journals
 V.SadhasivamJ.Kavitha and D.Sathya “Leighton Type Oscillation Criteria for Linear Fractional Differential Equations” Proceedings of the State Level Conference on Wide Views in Analysis and its Applications2016, 21st october2016, Government Arts College for Women, Salem, TN, India Pp.7076, (ISBN:9789382570882) Hikey Media.
 V. Sadhasivam, J. Kavitha and T. Raja, “Oscillation of Nonlinear Impulsive Delay Partial Differential Equations with Damping Term,” Proceedings of the conference on Mathematical Analysis and its Applications (22.12.201523.12.2015), Vysya College, Salem Dist, Tamil Nadu, India. (Sponsored by NBHM, Mumbai).
 3.V.Sadhasivam and J.Kavitha “Existence of Positive Periodic solutions of Discrete Time Periodic delay Predator Prey System with Control” Proceedings of the International Conference on Mathematical Methods and Computation Jan 22 & 23 , 2015, Jammal Mohamed College (Autonomous), Tiruchirappalli, India 164170, (ISSN:09730303) Jamal Academic Research Journal: An Interdisciplinary, Special Issue.
 4.V.Sadhasivam and J.Kavitha “Periodic solutions of Non autonomous Discrete Time Predator Prey model with HassellVarley Type Functional Response” Proceedings of the International Conference on Mathematics and its Applications2014,1517 December2014, University College of Engineering, Villupuram, Anna University, Chennai, India 355362, (ISBN:9788192375267)ShangaVerlag, Coimbatore.
 V.Sadhasivam and J.Kavitha, “Stability analysis of fractional order delayed three species model with a prey, predator and a competitor to both the prey and the predator”, Proceedings of the National conference on Recent Trends in Mathematics and its applications, Vysya College, Salem,T.N. February 22, 2014. 4145, (ISBN:9789382570318) Hikey Media, Chennai.