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