Research

Research Activity

1. Topology, Specially some covering properties of topological spaces. Recently the same has been studied in terms of grills.

2. Topological Algebraic Structure.

3. Continuous and Discrete dynamical systems

4. Differential geometry

5. Stochastic differential equations

6.Optimal control theory

7. Fractional based calculus

8. Monte Carlo based uncertainity analysis.

Publications:

A good number of papers has been published in a reputed national/ international journals. Some lists of Publications are given below:

By Dr. Prasanta Sinha along with Co-authors

1. p-closedness in topological spaces Revista, de La Academia Canaria Ciencias (Spain) Vol -XII (1-2) 2000, p-33-50. ISSN 1130-4723. (Begins 1990)

2. Concerning p-closed topological spaces, Revista, de La Academia Canaria Ciencias (Spain) Vol -XIV (1-2) 2002, p-9-13. ISSN 1130-4723. (Begins 1990)

3. On Upper and lower θ*-continuous Multifunction. Southeast Asian Bulletin of mathematics (China), Vol-26 (841-855) 2002. ISSN 0219-175X (Electronics) ISSN 0219-2021(Printed, Springer)

4. Unification of some covering properties via grills. Richerche di Mathematica Dipartimento di matematica e Applicazoni, Napoli, Italy.Vol-1 (229-240) 2002.

5. s-cluster set and s-closedness. Analele stintifice ale universitatii “ Al.I Cuza” DIN IASI(S.N), MATHEMATICA, Tomul LIV, 2008, f.1 Romania ISSN 1221-8421.

6. On s-closed spaces via grills. Proceedings of A. Razmadze Mathematical Institute Vol. 148 (2008), 35-43. ISSN 1512-0007.

7. (P, G)-quasi H-closed spaces : A unification. Southeast Asian Bulletin of Mathematics (China) 34(2010) 1-15. . ISSN 0219-175X (Electronics) ISSN 0219-2021 (Printed, Springer) .

8. On certain missing links in the hierarchy of some compact-like covering properties: Afrika Matematika, DOI: 10.1007/s13370-016-0391-6, Springer, 4th Febuary, 2016.

By Dr. Arnab Gupta and Co-authors

1. Permanence and Extinction of solution of ordinary differential equations on a differentiable manifold, D.K.Bhattacharya & A.Gupta-- Ganita, Vol 56, No.2, 105-117 (2005).

2. Generalization of Replicator Dynamics from a 3-simplex to a 2-sphere with Boundary, A.Gupta & D.K.Bhattacharya-- Revista De La Academia Canaria De Ciencias,Volume XVIII, No, 1-2, 33-45 (2006).

3. Permanence Criteria of Replicator Dynamics on a 2-sphere with boundary through Vector Optimization Technique, A.Gupta & D.K.Bhattacharya.-- Revista De La Academia Canaria De Ciencias,Volume XIX, No. 1-2 23- 36, (2008).

4. Optimization of a functional on an open manifold with differentiable variety as its Boundary, D.K.Bhattacharya, A.Gupta & T.E.Aman -- Revista De La Academia Canaria De Ciencias, Volume XX, No. 1-2, 33-47 (2009).

5.Throughput Maximization Problem for Random Allocation of Channels in a Cognitive Radio Network, Subhashree Bhattacharjee, Pijush Basak, Arnab Gupta, Amit Konar and Suman Bhattacharjee.—IEEE Explore Digital Library, pp1-4 (2011).

6. Optimal control problem of a replicator system on differentiable manifold with Boundary. Arnab Gupta and Dilip Kumar Bhattacharya, Journal of Information and optimization sciences Taylor & Francis, Vol. 34, Issue 1, pg. 29-46, January, 2013.

7. Vector optimal control problem on a differentiable manifold: A realistic approach. Arnab Gupta, Journal of Interdisciplinary Mathematics, Taylor & Francis, Vol 16, Issue 2-03, pg. 117-135, October, 2013.

8. Fractional Calculus in Solving Engineering Problems. Arnab Gupta, Jayanta Kumar Roy, Debabrata Datta, Proc. of Int. Conf. on Computing, Communication and Manufacturing 2014, pg. 40-47 (ISSN:2168-0787).

9. A study of water hammer problem in pipe line using Monte Carlo based approach. Arnab Gupta, Jayanta Kumar Roy, Debabrata Datta. 47^thIWWA Annual Convention, Kolkata, pg. 99-106.

10. Optimized WiMAX Network Development in India: Specification and Implementation. Angana Chakraborty, Sajal Saha, Indrajit Banerjee, Arnab Gupta. Computational Advancement in Communication Circuits and Systems Lecture Notes in Electrical Engineering Volume 335, 2015, pp 89-99, Date: 18 Mar 2015. ISBN 978-81-322-2273-6, ISSN 1876-1100. <http://link.springer.com/chapter/10.1007/978-81-322-2274-3_11>

11. A STUDY OF RC CIRCUIT WITH SEMI-INFINITE LOSSY TRANSMISSION LINE USING FRACTIONAL BASED CALCULUS. ARNAB GUPTA , JOYANTA KUMAR ROY , DEBABRATA DATTA . Canadian Journal on Technology Innovation. SearchDl ID: 01.CJIT.34. 215.19 Publication Year: 2014 ,Page(s): 219 - 229. http://searchdl.org/index.php/journals/journalList/34

Ongoing Research Project