Research

  1. Currently 3 Ph.D. and 1 M.Phil. students are working with me.

  2. 4 Ph.D and 2 M.Phil. awarded under my guidance.

  3. My areas of research include Zero divisor graphs, Coding Theory, Soft set Theory, etc.

  4. I am also looking for active collaborators from India as well as abroad to strengthen my research work.

Recent Publications

  1. Admissibility of groups over function fields of p-adic curves (with Prof V. Suresh, my research supervisor, my inspiration), Advances in Mathematics 237, 316-330.

  2. Ulam-Hyers-Rassias Stability for a Coupled System of Nonlinear Volterra Integro-differential Equations with Finite delay, International Journal of Difference Equations (SCOPUS)

  3. N-Dimensional Fractional Hartley Transform, Bulletin of Calcutta Mathematical Society, 114, (2) 125–146 (2022)

  4. Application of a Soft graph in decision making using adjacency matrix of soft graph, GANITA (UGC CARE)

  5. A Mathematical Model Of Transmission Dynamics Of Hepatitis B Virus,South East Asian J. of Maths (SCOPUS)

  6. Mathematical Three - Compartment Model Analysis of Cholesterol Transport in Human and its Cardiovascular Related Dysregulation, INTERNATIONAL JOURNAL OF PHARMACEUTICAL RESEARCH, 4010-4019

  7. Mathematical Model Of Thenfkβ Activating Interleukin-1β Through Caspase-1 Enzyme, European journal of Molecular & Clinical Medicine, 2968-2986

  8. Compartmental model to estimate bile acid concentration in different clinical manifestation, Indian Journal of Science and Technology, 1422-1433

  9. CHARACTERISTIC POLYNOMIAL AND WIENER INDEX OF THE COMPRESSED ZERO DIVISOR GRAPH Γ E[Zpn], Serdica Mathematical Journal 46 (2020), 61–72.

  10. Vertex and Edge Connectivity of the Zero Divisor Graph Γ [Zn] , Communications in Mathematics and Applications Vol. 11, No. 2, pp. 253–258, 2020

  11. EULERIAN OF THE ZERO DIVISOR GRAPH Γ [Zn], South East Asian J. of Mathematics and Mathematical Sciences Vol. 16, No. 1 (A) , pg.61-66 ,2020

  12. Adjacency and Incidence Matrix of a Soft Graph, Communications in Mathematics and Applications Vol. 11, No. 1, pp. 23–30, 2020.

  13. Connected soft graph; New mathematics and natural computation, World scientific pub, 16 (02), 305-318 , 2020

  14. Contribution to Soft Graph and Soft Tree , New mathematics and natural computation, World scientific pub, Vol. 15 No.1(2019)129-143

  15. The characteristic equation and Wiener index of a compressed zero divisor graph , arXiv preprint arXiv:2001.01218

  16. Eccentric Topological Index of the Zero Divisor graph Γ [Zn], arXiv, arXiv: 2001.01220

  17. On Soft totally bounded sets, International Frontier Science Letters (IFSL), Vol No 2(2014), pp37-46.

  18. Soft Equivalent, Uniformly Equivalent and Lipschitz Equivalent Metrics, Journal of Basic and Applied Research International, Vol No 5(1), 39-47,2015.

  19. Soft Isomerty and Completions of soft metric space, Recent Advances in Statistical and Mathematical Sciences and their Applications (RASMSA-2014), International Journal of Applied Mathematical Science, Volume 8, Number 2 (2015), 81-85.

  20. Some results on soft sequences, International Journal of Mathematics And its Applications, Volume 3, Issue 4{A (2015),37-44.

  21. On Soft Open and Closed Mapping, Annals of Fuzzy Mathematics And Informatics, Volume 10, No. 6, (December 2015), pp.971-978.

  22. Application of Normal Parameter Reduction of Soft Sets in Decision Making, International Journal of Innovation in Engineering, Research and Technology, pp.1-4.

  23. Attribute reduction using multi soft set approach, SRTMU's Research Journal of Science, Vol, 3 No 2 Aug - Oct 2014,pp.4-9.

  24. On The Global Existence Of Mild Solution Of Impulsive Integro-Differential Equation With Nonlocal Condition, O.J. of Applied & Theor. Mathematics, Vol. 2(4), Dec 2016, pp.1027~1040.

  25. Programming and Algorithm for Attributes Reduction Using Multi Soft Sets, O.J. of Applied & Theor. Mathematics, Vol. 2(4), Dec 2016, pp.1015~1026.

  26. On Soft Compact, Sequentially Compact and Locally Compactness, Advances in Fuzzy Mathematics (AFM), Volume 12, Number 4 (2017), pp.835–844.