Research Interest
He started his research work under the supervision of Dr. Praveen Agarwal, Department of Mathematics, Anand International Engineering College, Jaipur (India) in 2009. During Ph.D., he worked on Special functions, Hypergeometric functions and Generating relations. Later the research area extended to other areas of Mathematics. Currently he is working on the following research areas:
- Fractional Calculus and Its Applications: fractional derivative, fractional integration, fractional differential equations, fractional inequalities, solutions of physical problems involving fractional calculus
- Special Functions: hypergeometric functions, extensions of special functions, properties of special functions, generating relations and summation formulae, fractional integral and derivative formulae involving special functions
- Mathematical Modelling: epidemiological models, Local Stability, Global Stability, equilibrium points, control, SEI models, Models associated with environmental problems, water and air pollution etc.
- Numerical Methods: Hierarchical B-splines, B-splines, Spline Collocations, Hermite-Obreshkov One-Step, Hermite–Obreshkov methods, collocation method