• Mathematical Modeling
• Fractional Calculus
• Integral Transform
• Special Functions
• Epidemiology

• Integral Equations (24MAMS204)
• Multivariate Calculus (23MABS401)
• Statistical Methods (23MDC101)
• Introduction to SPSS (23SS305)

• 04 years of experience in Research
• Working with the SRM University since August 2024

• Young Scholar Award 2024, by Poornima University, Jaipur and MTTF
• NET-JRF Fellowship (2020-2024)
• GATE (2020, 2021)
• NET-JRF (2019,2020)
• International Travel Grant (2023, DST-SERB)

Research

• Shyamsunder, “Comparative implementation of fractional blood alcohol model by numerical approach,” Critical Reviews in Biomedical Engineering, vol. 53, no. 2, pp. 11–19, 2024 (Q4, IF=1.1).
• Shyamsunder, S. D. Purohit, and D. L. Suthar, “A novel investigation of the influence of vaccination on pneumonia disease,” International Journal of Biomathematics, p. 2 450 080, 2024 (Q2, IF=3.17).
• Shyamsunder and S. D. Purohit, “Generalized Eulerian integrals involving the incomplete I-function,” Advances in Mathematical Sciences and Applications, vol. 34, no. 1, pp. 301–311, 2025 (Q4, IF=0.33).
• Shyamsunder and S. Purohit, “A novel study of the impact of vaccination on pneumonia via fractional approach,” Partial Differential Equations in Applied Mathematics, vol. 10, p. 100 698, 2024 (Q2, IF=5.2).
• Shyamsunder and E. Someone, “A new fractional mathematical model to study the impact of vaccination on covid-19 outbreaks,” Decision Analytics Journal, vol. 6, p. 100 156, 2023 (Q2, IF=6.1).
• Shyamsunder and E. Someone, “A study of the hepatitis B virus infection using Hilfer fractional,” Proceedings of the Institute of Mathematics and Mechanics, vol. 48, pp. 100–117, 2022 (Q3, IF=1.2).
• Shyamsunder and E. Someone, “Fractionalized mathematical models for drug diffusion,” Chaos Solitons Fractals, vol. 165, p. 112 810, 2022 (Q1, IF=9.9).
• Shyamsunder and E. Someone, “Numerical modeling on age-based study of coronavirus transmission,” Applied Mathematics in Science and Engineering, pp. 609–634, 2022 (Q2, IF=1.3).
• Shyamsunder, Kritika, and S. D. Purohit, “Expansion formulae for incomplete Yang-Yu-W-function with Bessel function,” Communications in Calculus Analysis, Special Functions and Mathematical Physics, vol. 1, no. 1, pp. 03–10, 2024.
• Shyamsunder and M. Meena, “A comparative analysis of vector-borne disease: monkeypox transmission outbreak,” Journal of Applied Mathematics and Computing, pp.1-37, 2025.
• H. Agrawal, A. Singh, Shyamsunder*, H. Sharma, and S. Purohit, “Age-based investigation of covid-19 prevalence in Ethiopia using mathematical modelling,” South East Asian Journal of Mathematics and Mathematical Sciences, vol. 20, no. 1, pp. 297–312, 2024 (Q4, IF=0.1).
• S. Bhatter, K. Jangid, Shyamsunder*, and S. Purohit, “Determination of the supply of glucose in the blood by the incomplete I-function,” Partial Differential Equations in Applied Mathematics, vol. 10, p. 100 729, 2024 (Q2, IF=5.2).
• S. Bhatter, K. Jangid, Shyamsunder, D. Baleanu, S. D. Purohit, and D. L. Suthar, “A new investigation on fractionalized modeling of human liver,” Scientific Reports, vol. 14, p. 1636, 2024 (Q1, IF=4.4).
• S. Bhatter, Shyamsunder, K. Jangid, S.D. Purohit, and H. M. Baskonus, “Fractional differential equations related to an integral operator involving the incomplete I-function as a kernel,” Mathematical Methods in the Applied Sciences, pp. 1–15, 2023 (Q1, IF=3).
• A. Venkatesh, M. Manivel, and Shyamsunder, “Numerical simulation for the co-infection of monkeypox and HIV model using fractal–fractional operator,” Modeling Earth Systems and Environment, vol. 11, no. 3, p. 157, 2025 (Q1, IF=3.46).
• M. Manivel, A. Venkatesh, K. Arunkumar, M. Prakash Raj, and Shyamsunder, “A mathematical model of the dynamics of the transmission of monkeypox disease using fractional differential equations,” Advanced Theory and Simulations, p. 2 400 330, 2024 (Q1, IF=3.6).

Association/Membership

• Indian Society of Industrial and Applied Mathematics (ISIAM/ S-158/2022)
• International Association of Engineers (IAENG/327379/2022)
• Society for Special Functions & their Applications (SSFA/1004)
• MathTech Thinking Foundation (MTTF17524524)
• Resource Modeling Association (RMA/2022)
• Institute of Mathematical Statistics (IMS/35734)
• International Society of Difference Equations (ISDE/2023)
• Institute for Educational Research and Publication (IFERP/PROF-70824168)
• International Society for Development and Sustainability (ISDS/2024)
• Foundations of Computational Mathematics (FoCM/2024)
• International Association of Mathematical Physics (IAMP/2025)