A. Eswari | Differential Equation | Editorial Board Member

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Dr. A. Eswari | Differential Equation | Editorial Board Member

Assistant Professor | HC&RI, Tamil Nadu Agricultural University, Periyakulam | India

Dr. A. Eswari is a researcher in applied mathematics with strong expertise in mathematical modeling, reaction–diffusion systems, biosensor modeling, and heat and mass transfer analysis. Her doctoral work focused on deriving analytical solutions for systems of coupled reaction–diffusion equations in microelectrodes, contributing to advancements in electrochemical modeling. Over the years, she has expanded her research into interdisciplinary areas including thermal engineering, enzyme kinetics, nanofluid dynamics, and agricultural economics.

Her research output reflects a blend of theoretical rigor and real-world application, especially in chemical kinetics, thermal systems, and biosensor technology. She has published in reputable international journals and edited volumes, collaborating with researchers across mathematics, engineering, and applied sciences. Her contributions include analytical methods for nonlinear differential equations, studies on temperature-dependent thermal conductivity, and modeling of biological and industrial processes.

Dr. Eswari has also served in various academic and research roles across engineering and agricultural institutions, contributing to teaching, mentoring, and curriculum development. Her achievements include multiple merit awards for academic excellence at undergraduate, postgraduate, and M.Phil. levels.

With publications spanning over a decade, Dr. Eswari continues to work in applied mathematical analysis, focusing on deriving analytical and semi-analytical solutions for complex physical, chemical, and biological systems.

Profile: Google Scholar

Featured Publications

  1. Ananthi, S. P., Manimozhi, P., Praveen, T., Eswari, A., & Rajendran, L. (2013). Mathematical modeling and analysis of the kinetics of thermal inactivation of enzyme. International Journal of Engineering Mathematics, 2013(1), Article 132827. (Citations: 7)

  2. Meena, A., Eswari, A., & Rajendran, L. (2011). Mathematical modeling of biosensors: Enzyme–substrate interaction and biomolecular interaction. In New perspectives in biosensors technology and applications (Vol. 1). (Citations: 7)

  3. Saravanakumar, S., Eswari, A., Makinde, O. D., Anbazhagan, N., Joshi, G. P., et al. (2023). Analysis of temperature-dependent thermal conductivity and fin efficiency: Direct Akbari–Ganji method. Case Studies in Thermal Engineering, 51, Article 103627. (Citations: 6)

  4. Srinivasan, M., Raj, S. V., & Eswari, A. (2018). Demand and supply analysis of roundwood in India. Madras Agricultural Journal, 105(1–3), 1. (Citations: 6)

  5. Eswari, A., Maragatham, L., Anbazhagan, N., Joshi, G. P., & Cho, W. (2024). Analytical investigation of heat and mass transfer in MHD nanofluid flow past a moving vertical plate. Case Studies in Thermal Engineering, 60, Article 104642. (Citations: 5)

Ajay Kumar | Numerical Analysis | Indian Institute of Technology Kanpur

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Dr. Ajay Kumar | Numerical Analysis | Indian Institute of Technology Kanpur

Post Doctoral | Indian Institute of Technology Kanpur | India

Dr. Ajay Kumar is a Postdoctoral Fellow in the Department of Mathematics and Statistics at the Indian Institute of Technology Kanpur, specializing in fractional calculus, nonlinear dynamics, numerical analysis, and mathematical modeling of disease and ecological systems. He earned his Ph.D. in Mathematics with a focus on fractional calculus from the National Institute of Technology Jamshedpur, following an M.Sc.-Tech in Mathematics and Computing from Jamia Millia Islamia and a B.Sc. in Physics, Chemistry, and Mathematics from CCS University, Meerut. Before joining IIT Kanpur, he served as an Assistant Professor at JECRC University, Jaipur, where he contributed to academic instruction and research mentorship. Dr. Kumar has an impressive publication record in high-impact journals such as Chaos, Solitons & Fractals, Results in Physics, Mathematics and Computers in Simulation, and Journal of Computational Science, reflecting his strong engagement in the study of fractional-order dynamical systems, eco-epidemiological modeling, and chaos theory. His research collaborations span internationally with scholars from Saudi Arabia, Egypt, and India, demonstrating a broad and interdisciplinary research network. He has also presented his work at multiple national and international conferences and participated in workshops and training programs that enhance computational and analytical expertise. Dr. Kumar’s academic excellence is supported by national-level qualifications such as GATE and IIT-JAM, alongside prestigious research fellowships including the Junior and Senior Research Fellowships from NIT Jamshedpur. With over 500 citations and an H-index of 10, his contributions significantly advance the application of fractional calculus in complex system modeling.

Profiles: ORCID | Google Scholar

Featured Publications

1. Kumar S., Kumar A., Samet B., Gómez-Aguilar J.F., Osman M.S., A chaos study of tumor and effector cells in fractional tumor-immune model for cancer treatment. Chaos, Solitons & Fractals, 2020, Citations: 222.

2. Kumar S., Kumar A., Samet B., Dutta H., A study on fractional host–parasitoid population dynamical model to describe insect species. Numerical Methods for Partial Differential Equations, 2021, Citations: 187.

3. Kumar A., Kumar S., A study on eco-epidemiological model with fractional operators. Chaos, Solitons & Fractals, 2022, Citations: 43.

4. Kumar S., Kumar A., Jleli M., A numerical analysis for fractional model of the spread of pests in tea plants. Numerical Methods for Partial Differential Equations, 2022, Citations: 27.

5. Alzaid S.S., Kumar A., Kumar S., Alkahtani B.S.T., Chaotic behavior of financial dynamical system with generalized fractional operator. Fractals, 2023, Citations: 18.