Research field/Research group

Pure Mathematics and its Applications
•    Fuzzy algebra and their algebraic structures
•    Soft set theory and soft experts set theory
•    Aggregation operators on fuzzy algebra
•    Aggregation operators on soft expert structures and their applications in decision making
•    On Crossroads of Graph Theory and Chemistry
•    Data Compression techniques using Coding Theory
•    Algorithm Complexity and Computational Algebra
•    Role of Commutative Algebra in Computer Security and Cryptography

Computational Mathematics and its Applications
•    Exact solution of nonlinear evolution problems arising in mathematical physics
•    Numerical study of fractional-order physical problems
•    Extension and Development of spectral methods
•    Mathematical modelling through fractional calculus
•    Development of Iterative Techniques for solving nonlinear Equations
•    Applications of approximation of definite integrals
•    Development of Finite element methods and Finite difference methods
•    Optimization techniques for scientific problems
•    Construction of iterative methods for solving large system of linear equations.

Applied Mathematics and its Applications
•    Stability of thin-shell wormholes with different equation of states
•    Dynamics of thin-shell with massless and massive scalar fields
•    Exact solutions of compact stars by using conformal motion and Karmarker conditions
•    Solution of gravastars in different modified theories of gravity
•    Thermodynamics of black holes and phase transition
•    Numerical Study of Newtonian/Non-Newtonian fluid flow problems using similarity transformations
•    Analytical/Numerical investigation of Heat and Mass transfer in fluid flow
•    Asymptotical and Numerical Analyses of Liquid Jets
•    Symmetries and conservation laws of dynamical systems