Dr. G. Arul Joseph is a distinguished mathematician and researcher, currently serving as an Associate Professor in the Department of Mathematics at SRM Institute of Science and Technology, Kattankulathur, Chennai, India. With over a decade of academic and research experience, he has established himself as a respected scholar in the areas of Fixed Point Theory and Mathematical Modelling. His career combines teaching excellence, impactful research contributions, and active mentorship of research scholars.
Author Profiles
Education
Dr. Joseph pursued his higher education at premier institutions in Tamil Nadu. He completed his Bachelor’s and Master’s degrees in Mathematics from Loyola College, Chennai, affiliated with the University of Madras. Following this, he obtained an M.Phil. in Mathematics from St. Joseph’s College, Trichy, under Bharathidasan University. His academic journey culminated in a Ph.D. in Mathematics from Thiagarajar College, Madurai, affiliated with Madurai Kamaraj University.In recognition of his academic proficiency, he also qualified the Tamil Nadu State Eligibility Test (TNSET) for Assistant Professor in Mathematics in 2017, further strengthening his credentials as a higher education faculty.
Research Interests
Dr. Joseph’s primary research expertise lies in Fixed Point Theory and Mathematical Modelling. In Fixed Point Theory, his work focuses on contraction mappings, orthogonal metric spaces, and advanced fixed point theorems, which have wide-ranging applications in analysis, computational techniques, and optimization problems. Complementing this theoretical focus, his research in Mathematical Modelling emphasizes the development and analysis of models to understand real-world systems, particularly in epidemiology. Notably, he has applied mathematical frameworks to study the spread of infectious diseases such as COVID-19 and Lumpy Skin Disease, providing valuable insights into disease dynamics and offering effective strategies for their control and management.
Academic Positions
Dr. Joseph has accumulated more than 12 years of teaching and research experience. His professional career began as an Assistant Professor in Madurai-based engineering institutions, before joining SRM Institute of Science and Technology in 2015. He served there as an Assistant Professor for nearly a decade and was elevated to the role of Associate Professor in 2025. His long-standing association with SRMIST highlights his dedication to academic excellence and research development.
Selected Publications
Dr. Joseph’s contributions to the mathematical sciences are reflected in his 88 publications indexed in Scopus and Web of Science, with an h-index of 14 (Scopus) and 10 (Web of Science). His work has been cited extensively, underscoring its impact on the global research community. Some of his recent and notable works include:
Development of a unified framework for fractal-fractional derivatives and its application to the modified Gompertz growth equation using the Sawi transform, Journal of Computational and Applied Mathematics (2026).
Stability and control analysis of COVID-19 spread in India using SEIR model, Scientific Reports (2025).
Mathematical model of the lumpy skin disease using Caputo fractional-order derivative via invariant point technique, Scientific Reports (2025).
Technique of Tripled Fixed Point Results on Orthogonal G-Metric Spaces, Journal of Applied Mathematics (Wiley) (2024).
A Numerical Scheme and Application to the Fractional Integro-Differential Equation Using Fixed-Point Techniques, Fractal and Fractional (MDPI) (2024).
Through these publications, Dr. Joseph has advanced both theoretical mathematics and its applications to real-world problems, particularly in the health sciences and computational analysis.
Conclusion
In conclusion, Dr. G. Arul Joseph is a highly respected academic and researcher whose work bridges the gap between abstract mathematical concepts and their practical applications. His contributions to Fixed Point Theory and Mathematical Modelling have been recognized through numerous publications and citations in leading journals. Beyond his research, his dedication to mentorship, teaching, and academic leadership reflects his broader commitment to advancing mathematics as a discipline.As an Associate Professor at SRM Institute of Science and Technology, Dr. Joseph continues to inspire students and fellow researchers alike, ensuring that his influence on mathematics education and research remains enduring and impactful