Dr. Selvam Arunachalam is a dedicated academician and researcher in the field of mathematics, with a strong foundation in theoretical and applied mathematics. He has actively contributed to the advancement of mathematical sciences through research, teaching, and academic service. With over four years of research experience and two years of teaching experience, he has developed expertise in differential equations, fractional calculus, and mathematical modeling. Dr. Selvam has published extensively in reputed international journals and actively serves as a reviewer for leading scientific publications, demonstrating a strong commitment to academic excellence.
Publication ProfileΒ
Scopus
Educational Background π
Dr. Selvam earned his Ph.D. in Mathematics from SRM Institute of Science and Technology, Kattankulathur, Chennai, in 2024. He completed his M.Phil. in Mathematics with 74.8% from Ponnaiyah Ramajayam Institute of Science and Technology, Thanjavur, in 2019. Prior to this, he obtained his M.Sc. in Mathematics with 69.3% in 2018 and B.Sc. in Mathematics with 63.4% in 2016 from Srinivasan College of Arts and Science, affiliated with Bharathidasan University. His earlier schooling includes Higher Secondary (67.1%) in 2013 and SSLC (78.4%) in 2011 from schools in Tiruchirappalli, Tamil Nadu.
Professional Experience πΌ
Dr. Selvam is currently serving as an Assistant Professor at Vignanβs Foundation for Science, Technology & Research (Deemed to be University), Andhra Pradesh, since July 2024. He previously worked as a Lecturer at Meenakshi Ramasamy Polytechnic College, Ariyalur, from November 2019 to December 2020. His cumulative teaching experience is 2 years, while his research experience spans over 4 years and 5 months, focused on the stability and modeling aspects of differential equations.
Research Interests π¬
His primary research interests include the stability of differential equations, fractional calculus, Hyers-Ulam stability, integral transforms, and mathematical modeling. Dr. Selvam has published 14 research papers, including 11 indexed in Scopus and SCIE journals, and has authored a Scopus-indexed book chapter. His work has earned a cumulative impact factor of 26.7 and a citation count of 98 on Google Scholar. He also has one patent under review and several papers accepted and submitted to international journals.
Awards and Honorsπβ¨
Dr. Selvam was honored with the Best Paper Award at the International Virtual Conference on Research Innovation in Science, Engineering and Technology in 2022, organized by Kings Engineering College, for his paper on Ulam-Hyers-JRassias stability using the Aboodh transform. He has also completed three prestigious UGC-MMTTP refresher courses with top grades (A+), and serves as a reviewer for 16 international journals including Elsevier, Springer, Wiley, and MDPI.
Conclusionπ
Dr. Selvam Arunachalam is a passionate scholar in mathematics with proven expertise in research and academics. His contributions to mathematical stability theory, his role as a journal reviewer, and his teaching experience reflect a strong commitment to advancing the field. With a growing academic footprint and dedication to continuous learning, he represents a valuable asset to the academic and scientific community.
Publications π
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π A. Selvam
π Results on Ulam-Hyers stability with fractional calculus: Lumpy skin disease model and numerical method
π Book Chapter, Advances in Mathematical Modeling and Scientific Computing for Complex Systems (Elsevier), 2025
π Indexed: Scopus
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π A. Selvam, S. Sabarinathan, Salah Boulaaras
π Fractional order derivatives for nonlinear Chen chaotic system: Chaotic behavior and Ulam-Hyers stability
π° Asian Journal of Control (Wiley, Q2), 2025 | IF: 2.7
π SCIE, Scopus
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π A. Selvam, S. Sabarinathan, Salah Boulaaras
π Nonlinear fractional order financial system: Chaotic behavior and Ulam-Hyers stability
π° Fractals (World Scientific, Q1), 2025 | IF: 3.3
π SCIE, Scopus
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π Salah Boulaaras, S. Sabarinathan, A. Selvam, A. Allahem, A. Alharbi, T. Radwan
π Chaos and stability analysis of the nonlinear fractional order autonomous system
π° Alexandria Engineering Journal (Elsevier, Q1), 2025 | IF: 6.2
π SCIE, Scopus
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π A. Selvam, S. Sabarinathan, Salah Boulaaras, Taha Radwan
π Mohand transform approach to Ulam-type stability of linear differential equations
π° International Journal of Theoretical Physics (Springer Nature, Q3), 2024 | IF: 1.3
π SCIE, Scopus
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π Kottakkaran Sooppy Nisar, C. Ravichandran, S. Sabarinathan, A. Selvam
π Mathematical study of nabla fractional difference tech layoff model
π° Iranian Journal of Science (Springer), 2024
π SCIE, Scopus
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π A. Selvam, C. Ravichandran, S. Sabarinathan
π Stability analysis of fractional-order economic system with Ulam-Hyers stability
π° Chaos, Solitons & Fractals (Elsevier), 2023 | IF: 5.8
π SCIE, Scopus
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π A. Selvam, S. Sabarinathan
π Qualitative analysis of nonlinear fractional order prey-predator system
π° Nonlinear Dynamics (Springer), 2023 | IF: 4.4
π SCIE, Scopus
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π S. Sabarinathan, A. Selvam, K. S. Nisar
π Ulam-Hyers stability for fractional predator-prey model
π° Mathematics and Computers in Simulation (Elsevier), 2022 | IF: 3.2
π SCIE, Scopus
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π A. Selvam
π A survey on fractional differential equations and stability
π° Journal of Applied Mathematics (Hindawi), 2022
π Scopus