Dr.G.ArockiaPrabakar

Overview

Dr.G.ArockiaPrabakar is an Assistant Professor at SSMIET in the Mathematics discipline. He is working as a faculty in SSMIET for the past 1 Years 9 Months. His research is mainly focused on Fractal Analysis and Fixed Point Theory.

Contact:  prabakar1985@gmail.com,     +91-9942296533.

Education

  • Ph.D. (Mathematics),Gandhigram Rural Institute-Deemed University, Dindigul,Tamil Nadu, 2015.
  • M.Phil (Mathematics), Gandhigram Rural Institute-Deemed University, Dindigul,Tamil Nadu, 2009.
  • M.Sc (Mathematics), Loyola College, Chennai, Tamil Nadu, 2008.
  • B.Sc (Mathematics), St Joseph’s College, Trichy, Tamil Nadu, 2006.

Research

Prabakar’s area of research is broadly focused on Applications of Fixed Point theory in Fractals. Applications of Fractals in applied Science.

Awards

  • Basic Science Research Fellowship awarded by UGC (2013-2014)

Publications

Below is a list of my publications. Copyright and all rights therein are retained by authors or by other copyright holders.

  1. Uthayakumar, G. ArockiaPrabakar, S. Abdul Azis, “Fractal Analysis of Soil Pore Variability with Two Dimensional Binary Images” Fractals, 19 (4) 401-406. (2011). (World Scientific).
  2. Uthayakumar, G. ArockiaPrabakar, S. Abdul Azis, “Multifractal Scaling of Crack Images from Pyroligneous Acid Dried Sludge” Journal of computational Science, 3 67– 73 (2012). (Elsevier).
  1. Uthayakumar, G. ArockiaPrabakar, “Common Fixed Point Theorem in Cone Metric Space for Rational Contractions”, International Journal of Analysis and Applications 3(2) 112-118 (2013).
  2. Uthayakumar, G. ArockiaPrabakar, “An Iterated Function System for Reich Contraction in Complete b Metric Space”, International Journal of Mathematical, Computational Science and Engineering, 7 (11) 813-816 (2013).
  3. ArockiaPrabakar, R.Uthayakumar, “Generalized Wellposdenss and Multivalued Contraction”, Gazi University Journal of Science, 27 (2) 755-759(2014).
  4. ArockiaPrabakar, R.Uthayakumar, “Set Valued Fixed Point Theorems Endowed with a Graph”, Journal of Advanced Research in Pure Mathematics, 6 (3) 62-68 (2014).
  5. Uthayakumar, G. ArockiaPrabakar, S. Abdul Azis, “Multifractal Analysis of Slacken surface in Hydrocarbon Molecules through Fuel Additive”, EgyptianJournal of Petroleum, (Elsevier) 23 (3) 279-284 2014.
  6. ArockiaPrabakar, R.Uthayakumar, Coincident and Common Fixed point theorems in b-Metric Space, Journal of Advanced Research in Pure Mathematics, 7 (1) 41-51 2015.

 

International Conferences

 

  1. ArockiaPrabakar, R.Uthayakumar presented a paper entitled “Natural Way Effluent Treatment Using Fractal Dimension” Proceedings of the 1st IEEE International Conference on Communication Control and Computing Technologies - 2010, IEEE Xplore Digital Library 623–627. (Ramanathapuram&Kanyakumari from 07.10.2010 - 09.10.2010).
  2. Uthayakumar, G.ArockiaPrabakar presented a paper entitled “Estimation of Fracture and Texture Images Using Lacunarity and Multifractal Technique”, Proceedings of the International Conference on Applications of Mathematics and Statistics - 2012, 716–721 (Bishop Heber College, Trichy from 05.01.2012 to 07.01.2012).
  3. Uthayakumar, G. ArockiaPrabakar, “Fractal Interpolation for Constrained Delaunay Triangulation and Voronoi Diagrams”, Proceedings of the International Conference on Mathematical Modeling and Applied Soft Computing, 612-621, (Coimbatore Institute of Technology, Coimbatore 11.7.2012 to 13.7.2012).
  4. Uthayakumar, G. ArockiaPrabakar, “Creation of Fractal objects by using iterated function system”, Proceedings of the Third International Conference on Computing, Communication and Networking Technologies, IEEE Xplore Digital Library. 1-7, 2012 (SNS College of Engineering, Coimbatore from 26.7.2012 to 28.7.2012).
  5. ArockiaPrabakar, A.Gowrisankar and R.Uthayakumar “Self similar Similar Group of Bianchni Iterated Function System” International Conference on Applications of Fractals and Wavelets, (Amirtha University, Coimbatore from 12.1.15 to 14.1.2015).

 

National Conferences

 

  1. Uthayakumar, G.ArockiaPrabakar presented a paper entitled “Lacunarity indices as a measure of texture images” National Conference on Advances in Mathematical Analysis and Applications held at K.S.R College of Arts and Science from 12.08.2011 to 13.08.2011.
  2. Uthayakumar, G.ArockiaPrabakar presented a paper entitled “Generation of Fractals by some fixed point theorems” in the Proceeding of the National Conference on Recent Trends in Analysis & Applied Mathematics, 200-206 (National Institute of Technology, Trichy from 9.5.5013 to 10.5.2013).
  3. Uthayakumar, G.ArockiaPrabakar, presented a paper entitled “Fractals for Reich Iterated Function System” in the 2nd National Conference on Frontiers in Applied Sciences and Computer Technology, (National Institute of Technology, Trichy from 23.5.5013 to 24.5.2013).

Experience

  1. Worked as a Guest Lecturer at Madurai Kamaraj University Evening College, Dindigul (1 year).

Seminars and Conferences

  1. Attended a “National Workshop on Mathematical Modelling and Computational Mathematics – 2009”, Department of Mathematics, The Gandhigram Rural Institute – Deemed University, Gandhigram, Dindigul from 23.02.2009 to 28.02.2009.
  2. Attended a “Mathematics Teachers Training Programme –MTTP”, Department of Mathematics, Thiagarajar College of Engineering, Madurai from 03.01.2011 to 08.01.2011.
  3. Attended a National seminar on “Research Issues and Challenges in Medical imaging”, Department of Biomedical Engineering, PSNA College of Engineering, Dindigul from 21.7.2011 to 22.7.2011.
  4. Attended a National seminar on "Topology, Fractals their Fuzzy Generalization and Applications", Department of Mathematics, St. Dominic’s College, Kanjirapally, Kerala from 13.10.2011 to 14.10.2011.
  5. Attended an "Intuitionistic Fuzzy In Image Processing", Department of Mathematics, Kongu Engineering College, Erode from 2.3.2012 to 3.2.2012.
  6. Attended a “National Workshop on Mathematical Analysis and its Applications” Department of Mathematics, Periyar University, Salem from 7.5.2012 to 12.5.2012.
  7. Participated an “International Conference on Fractals & Wavelets” organized by Department of Mathematics, Rajagiri School Engineering Technology, Kerala from 9.11.2013 to 12.11.2013.
  8. Attended a Workshop on “ Machine Learning and its Applications” organized by Department of Mathematics, Indian Institute of Space & Technology, Tirvanthapuram, from 30.6.2014 to 02.07.2014.

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