Proceedings of National Conference on

Recent Advances in Mathematical Analysis and Applications

06th & 07th September, 2013 N

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Department of Mathematics, K.S.Rangasamy College of Arts & Science (Autonomous), Tiruchengode - 637215.

Proceedings of National Conference on Recent Advances in Mathematical Analysis and Applications-

NCRAMAA 2013

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Chairman’s Message

I am happy to note that the Department of Mathematics of K.S. Rangasamy College of Arts

and Science is organizing National Conference on Recent Advances in Mathematical Analysis and

Applications (NCRAMAA 2013) during 6-7, September 2013 at our KSR Campus.

There are 11 invited speakers and more than 60 delegates are going to exchange their ideas

and experiences. I am sure that the deliberations in the conference would trigger a spirit of true

pursuit for knowledge and research.

The generous support received from various government funding agencies and private

organizations for the successful conduct of the conference is highly acknowledged. I thank the

Principal Dr.N. Kannan, Convener T. Rajendrakumar and Organizing Secretary P. Karthikeyan and

his team to organize this event as a successful.

I wish the conference a grand success.

Dr.K.S. Rangasamy MJF

Chairman

K.S.R. Group of Institutions

Chief Guest’s Message

I am Happy to note that the Department of Mathematics, K.S. Rangasamy College of Arts and

Science is conducting a National Conference on Recent Advances in Mathematical Analysis and

Applications during September 6-7, 2013. I am sure that the lectures by the distinguished invited

speakers and the deliberations during the conference will be beneficial to all the participants.

I appreciate the convener’s efforts to publish the Proceedings of the Conference and wish the

conference a great success!

I am happy to know that the Department of Mathematics, K.S. Rangasamy College of Arts and

Science, Tiruchengode, is organizing a National Conference on Recent Advances in Mathematical

Analysis and Applications during September 6 -7, 2013.

Modern Mathematical Analysis plays a very crucial role in applications of Mathematics in

various disciplines. Pure and applied mathematics should go hand in hand.

I am confident that the conference will be academically very stimulating.

I congratulate the organizers of this conference for providing a forum to both young and

experienced researchers to interact with and learn from each other.

I wish the conference all success.

Dr.S. Kumaresan Director-MTTS Programme Dean, School of Math. & Stat., University of Hyderabad

Chief Guest’s Message

Sponsors

National Board For Higher Mathematics (NBHM) Department of Atomic Energy Mumbai

Science and Engineering Research Board (SERB) Department of Science and Technology New Delhi

K.S. Rangasamy College of Arts and Science is established in the year 1995. The Campus of

the College is found in the system atmosphere of shady palm group of about 400 acres. The College

is a Co-Educational Institution, affiliated to the University of Madras since its inception and then

affiliated to Periyar University, Salem from 1998. The College offers 15 UG Courses, 12 PG Courses,

7 M.Phil, and 5 Ph.D programmes in the stream of Science, Commerce, Management and

Humanities. Four thousand Students from rural as well as urban areas across the nation have been

provided with ample opportunities to pursue education at all levels in all disciplines.

UGC has conferred Autonomous status for the College from the academic year 2009-2010. It

has been included under 2(f) and 12(B) of UGC Act, 1956. The college is accredited by NAAC and an

ISO Certified Institution. The college has received financial assistance for research activities and for

conducting seminars and workshops from different funding agencies including DST, DBT, TNSCST,

DRDO, etc.

About the Institution

The Department of Mathematics is one of the departments, which is functioning, from

the inception of the college from the year 1995. It offers Graduate and Post Graduate courses

under CBCS pattern with the affiliation of Periyar University, Salem and is on a relentless march

towards academic excellence. The Department maintains a record of good service with the vision

of having quality teaching and research, developing sound body and mind, inculcating social

responsibilities and blossoming of human excellence.

The Department continues its efforts in guiding the students academically, molding

their character as well as equipping them with communications skills and the like, to make them

confident, competent and efficient citizens.

The area of specialization of our faculty members are Algebra, Complex analysis,

Differential equations, Graph theory, Fluid dynamics, Mathematical modeling, Optimization

Techniques, and Stochastic process. Our faculty members have presented papers in various

National and International Conferences. Some of the faculty members pursuing their research in

various fields viz Algbra, Real and Complex analysis, Differential equations, Graph theory, Fluid

dynamics. Our Department has been traditionally celebrating the birthday anniversary of the

gifted Indian Mathematician Srinivasa Ramanujan, by conducting various Mathematical

Competitions to the students. The Department is periodically conducting Workshops on LaTex,

SPSS, MATLAB, Algebra and Analysis. Recently our Department has conducted three days

National Workshop on Differential Equations using MATLAB during the month of January 2013.

About the Department

Mathematical analysis is an emerging frontier area of research that plays an important role

in enhancing the efficiency of any field of Sciences. It is well known that the analysis plays a vital

role which is used by the Applied Sciences to solve a great number of problems.

Modern Mathematical Analysis plays a very crucial role in applications of Mathematics in

various disciplines. Real analysis, Complex analysis, Functional analysis and Topology constitute an

integral part of analysis.

It also provides mathematical methods for finding (or approximating) solutions of

differential equations which are important in the formulation of mathematical models of real-life

problems. This theory has grown by leaps and bounds during the last two centuries.

It envisages interactive discussions, problem-solving, and identifying frontline research

problems, for being taken up by researchers for intensive study through projects and other modes

in the following thrust areas but not limited to the following:

• Analysis and Topology

• Algebra

• Discrete Mathematics

• Applied Mathematics, etc.,

Several eminent mathematicians will deliver invited lectures at the Conference based on

their current research of exposing surveys and emergent topics in the frontier of the knowledge in

the applications of the Mathematical Analysis. In addition to the invited talk, open problems will be

discussed in this conference.

It is expected that different mathematical methods from the various branches of

Mathematical Analysis and innovative skills employed in different classes of problems of Science

and Technology and future developments will be intensively discussed during the conference.

About the Conference

Lion. Dr.K.S. Rangasamy, MJF

Chairman Mr.R. Srinivaasan

Secretary Mrs. Kavithaa Srinivaasan

Executive Director & Treasurer Dr.N. Kannan

Principal T. Rajendrakumar

Convener P. Karthlkeyan

Organizing Secretary

Organizing Members Mr.K. Gunasekan Mrs.M.T. Kavitha Mr.S. Hariharan Mrs.R. Gowri Mr.D. Vijay Mr.D. Lakshmanan Mrs.R. Sathya Mr.S. Jagadeesan Mrs.M. Sujatha Mr.M. Pachamuthu Mr.G. Mohanram Mr.M. Ramakrishnan Mr.S. Maruthupandiyan Ms.P. Elakkiya Mrs.G. Ananthajothi Mr.K. Senthilkumar Mrs.C. Sindhuja Ms.K. Krishnaveni Ms.M. Ragasuthamani Ms.S. Vidhya Mrs.R. Priya Mr.M. Shankar Mrs.V. Bharathi

Organizing Committee

Contents

S. No Title/Author Page No.

1 Solution and Stability of a Mixed Type Functional Equation In RN-Spaces K. Ravi and P. Narasimman

1-10

2 Slightly Generalized Alpha Continuous Mappings in Intuitionistic Fuzzy Topological Spaces C.S. Gowri and D. Kalamani

11-17

3 Velocity and Energy Distribution Between Non Parallel Plates in Jeffery Hamel Flows Rajeswari Seshadri and Shankar Rao Munjam

18-31

4 Selection of Mixed Sampling Plan with Quick Switching Systems – Single Sampling Plan as Attribute Plan Indexed Through MAPD and AQL Using IRPD R. Sampath Kumar, R. Vijaya Kumar and R. Radhakrishnan

32-39

5 Independent Strong Domination in Fuzzy Graph

C.V.R. Harinarayanan and Revathi

40-44

6 Graph Theory Based Transmission Power to Increase the Network Life Time in Wireless Sensor Networks S. Kannadhasan

45-49

7 Existence of Solutions of Functional Volterra-Fredholm Integrodifferential Equations with Nonlocal Conditions S. Dhanalakshmi and R. Murugesu

50-60

8 On Superior Edge Bimagic Labeling for Split and Shadow Graphs of Paths, Cycles and Stars A. Amara Jothi, N.G. David and J. Baskar Babujee

61-74

9 Investigating Efficiency and Benchmarking Public Sector Commercial Banks in India by PCA-DEA Approach R. Chandrasekaran and R. Madhanagopal

75-85

10 Transient Behaviour of Batch Arrival Feedback Queue with Server Vacation and Balking G. Ayyappan and K. Sathiya

86-96

11 The Forcing Private Domination Number of a Graph S. Robinson Chellathurai and S. Kavitha

97-107

12 Intuitionistic Fuzzy Continuous Functions Via B-Algebras S. Padmapriya, M.K. Uma and E. Roja

108-116

13 An Intuitionistic Regular and Intuitionistic Normal Spaces via Intuitionistic B-Open Set P. Saranya, M.K. Uma and E. Roja

117-125

14 On rgα-Irresolute and Strongly rgα-Continuous Maps in Intuitionistic Topological Spaces T. Ramya, M.K. Uma and E. Roja

126-134

15 On AB - Open Sets in an Intuitionistic Uniform Ideal Structure Spaces M.Kousalyaparasakthi, E. Roja and M.K. Uma

135-143

16 ()*μand ψμ Operators on Intuitionistic Ideal Supra Topological Space C. Bavithra, M.K. Uma and E. Roja

144-152

17 s#g -Closed Set and s#g Homeomorphism in Topological Spaces M. Vivek Prabu and V. Kokilavani

153-161

18 Numerical Simulation of Magneto Hydro Dynamic Flow Through a Magneto Plasma Dynamic Thruster S. Vijai Kumar and Dr.R. Balu

162-176

19 Schultz and Modified Schultz Indices of Specific Graphs S. Ramakrishnan and J. Baskar Babujee

177-188

20 Expected Time to Recruitment in a Two Grade System with Two Types of Thresholds Using Univariate Max Policy-II P. Saranya, J. Sridharan and A. Srinivasan

189-200

21 On the Oscillatory Behavior for a Certain Class of Second Order Delay Difference Equations Dr.P. Mohankumar and A. Ramesh

201-206

22 An Algorithmic Approach to Fuzzy Multi-Objective Linear Programing Problem (FMOLPP) R. Irene Hepzibah and S. Uma

207-213

23 Fuzzy Intra Ideals in Semigroups G. Vasantha kannan

214-217

24 Some Properties of Cone Spectrum Dr.A. Devika and M. Malarvizhi

218-222

25 Oscillation of Solutions of Some Third Order Nonlinear Difference Equations P. Mohan Kumar and V. Ananthan

223-226

26 P3-Packing Preclusion of the Radix Triangular Mesh D. Antony Xavier and C.J. Deeni

227-235

27 On Regular Generalized Star b-Closed Set K. Indirani and G. Sindhu

236-242

28 Fuzzy Strong Vertex Coloring of Fuzzy Graphs S. Sarulatha

243-246

29 On g*b Homeomorphisms in Intuitionistic Fuzzy Topological Spaces K.M. Arifmohammed and M. Thirumalaiswamy

247-263

30 On GPSR Closed Mappings and GSPR Homeomorphisms in Intuitution Fuzzy Topological Spaces K. Ramesh and M. Thirumalaiswamy

264-283

31 Solutions of the Uncoupled Wave Systems of Wave Propagation in Transeversely Isotropic Solid Circular Cylinder R. Amuda

284-288

32 Genetic Algorithm and Hadi Method of Ranking for Finding Shortest Path in a Network V. Anusuya and R. Kavitha

289-293

33 The Inverse Split Domination in Fuzzy Graphs C.V.R. Harinarayanan and S. Geetha

294-301

34 Solving Fuzzy Quadratic Programming Problem as a Fuzzy Linear Complimentary Problem without Introducing Artificial Variable R. Irene Hepzibah and M. Umamaheswari

302-308

35 Existence of Non Oscillatory Solutions of Second Order Quasilinear Neutral Difference Systems Thiagarajan Revathi

309-319

36 Degree Equitable Domination on Fuzzy Graphs C.V.R. Harinarayanan and S. Revathi

320-328

37 Second Derivative Free Modification of Chebyshev’s Method J. Jayakumar and P. Jayasilan

329-333

38 Some Characterization of Super Modular SemiLattice A.Vethamanickam, M. Jeyaraman and J. Arivukkarasu

334-336

39 Generalized Hyers-Ulam Stability of Quadratic Functional Equation in Paranormed Spaces K. Ravi and A. Edwin Raj

337-348

40 Strongly -Continuous and Perfectly -Continuous Functions in Topological Spaces M. Myvizhi and V. Kokilavani

349-352

41 On Solving Nonlinear Equations using Numerical Methods R. Sophia Porchelvi and S. Sathya

353-355

42 An Approach to Find the Optimal Paths using Trapezoidal Intuitionistic Fuzzy Number R. Sophia Porchelvi and G. Sudha

356-360

43 The Existence and Uniqueness of Mild Solutions for Nonlocal Fractional Infinite Delay Differential Equations with Interval Impulsives M. Lathamaheswari and A. Anguraj

361-371

44 Ratio to Moving Average Method for Predicting Tourist’s Arrival Dr.T. Jai Sankar, J. Ragapriya, S. Selva Nanthini and S. Kiruthiga

372-377

45 Stochastic Model on Time to Recruitment in a Two Grade Manpower System K. Parameswari, J. Sridharan and A. Srinivasan

378-387