Research-I

Research Interests: 

Mathematical modelling, fractional differential equations, nonlinear dynamics, numerical simulations, semi-analytical approaches, scientific machine learning.

Journal Publications:

1. R.K. Meena, "A systematic review of mathematical models for the dynamics of alcohol consumption", Critical Reviews in Biomedical Engineering (2026) (Accepted)

2. R.K. Meena, S. Kumar, "A study on fractional mathematical model for cancer chemotherapy using the residual power series method", Computer Methods in Biomechanics and Biomedical Engineering, 1-19, (2026). 

3. R.K. Meena, S. Kumar, “Semi-analytical solutions of the multi-dimensional time-fractional solitary water wave equations using RPS method”,  Mathematical Methods in the Applied Sciences 48(5) (2025). 

4. R.K. Meena, S. Kumar, “A comprehensive study of the multi-dimensional time-fractional Korteweg-de Vries equation using the residual power series method”,  Special Topics Reviews in Porous Media - An International Journal (2025).

5. R.K. Meena, S. Kumar, “Semi-analytical solutions of the Multi-Dimensional Time-Fractional Klein-Gordon equations using RPS method”, Physica Scripta 99(9) (2024).

6. R.K. Meena, S. Kumar, “A study on fractional  SIR epidemic model with vital dynamics and variable population size using the residual power series method”, Journal of Computational Analysis and Applications 33 (1) (2024).

7. R.K. Meena, S. Kumar, “Solution of fractional order SIR epidemic model using residual power series method”, Palestine Journal of Mathematics 11 (3) (2022) 12-24.

Conferece Proceeding:

• R.K. Meena, S. Kumar, “A study on fractional SIS epidemic model using RPS method”, Lecture Notes in Networks and Systems, volume 697, pp. 293–309, Singapore: Springer Nature Singapore, 2023.