Fractal Analysis
Multifractal
Fractal Dimension
Fractional Calculus
Images Processing
RamiAhmad ElNabulsi., Chinnasamy Thangaraj. , Raja Valarmathi., Waranont Anukool (2025). Chaotic dynamics and fractal analysis of nonstandard Hamiltonian systems. Chaos, Solitons & Fractals, Volume 200, Part 1, November 2025, 116974. (Q1, Elsevier, SCI: 5.6).
Valarmathi, R., & Gowrisankar, A. (2022). On the variable order fractional calculus characterization for the hidden variable fractal interpolation function. Fractal and Fractional, 7(1), 34. (Q1, SCI IF:3.3).
Valarmathi, R., & Gowrisankar, A. (2023). On the variable order fractional calculus of fractal interpolation functions. Fractional Calculus and Applied Analysis, 26(3), 1273-1293. (Q1, SCI IF: 2.9).
Valarmathi, R., & Gowrisankar, A. (2023). Variable order fractional calculus on α-fractal functions. The Journal of Analysis, 1-17. Springer (Q3, ESCI IF: 1.1).
Priyanka, T. M. C., Valarmathi, R., Bingi, K., & Gowrisankar, A. (2022). On Approximation Properties of Fractional Integral for A-Fractal Function. Mathematical Problems in Engineering, 2022 (Scopus).
Gowrisankar, A., Easwaramoorthy, D., Valarmathi, R., Jeevaraj, P. E., Ananth, C., & Vasiliev, I. (2023). An Integrated Perspective of Fractal Time Series Analysis for Infected Cases of COVID-19. In Fractal Signaturesin the Dynamics of an Epidemiology (pp. 103-117). CRC Press (Scopus).
Valarmathi, R., Gowrisankar, A., & Bingi, K. (2024). Rössler Attractor via Fractal Functions and Its Fractal Dimension. In Mathematical Modelling of Complex Patterns Through Fractals and Dynamical Systems (pp. 187-200). Singapore: Springer Nature Singapore (Scopus).
Valarmathi, R., Thangaraj, C., Easwaramoorthy, D., Selmi, B., Jebali, H., & Ananth, C. (2024). Multifractal Analysis in Age Based Classification for COVID-19 Patients' CT- Scan Images with Different Noise Levels. Fluctuation and Noise Letters (Q3, SCI IF:1.2).
Thangaraj, C., Valarmathi, R., Easwaramoorthy, D., Kumar, D. R., & Chamola, B. P. (2024). Generation of Fractal Attractor for Controlled Metric Based Dynamical Systems. Contemporary Mathematics, 6165-6188 (Q3, SCI IF: 1.2).
Presented a paper titled “The Weyl-Marchaud Fractional Derivative Through Non-Affine Fractal Interpolation Function” at the “International Conference on Recent Developments in Mathematics (ICRDM 2022)” organized by the Department of Mathematics, Faculty of Engineering, Applied Science and Technology, Canadian University Dubai, UAE in conjunction with Department of Mathematical Sciences, United Arab Emirates University, Al Ain, UAE from 24th to 26th August 2022.
Presented a paper titled “The Riemann-Liouville Fractional Integral Through Non- Affine Fractal Interpolation Function” in the “3rd - International Conference on Mathematical Modeling, Analysis, and Computing” organized by the Department of Mathematics, Thiruvalluvar University, Vellore, Tamilnadu, India from 14th-16th September 2022.
Presented a paper titled “Rossler Attractor via Fractal Function” at the “International Conference on Mathematical Modeling” organized by the Department of Mathematics, Bharathiyar University, Coimbatore, Tamilnadu, India from 27th-28th January 2023.
Presented a paper titled “Integration Method Over Non-Affine Fractal Interpolation Function” in the “4th International Conference on Mathematical Techniques and Applications” organized by the Department of Mathematics SRM Institute of Science and Technology Kattankulathur, Tamil Nadu, India, from 22th-24th March 2023.
Attended a Workshop on "2nd Workshop on Fractal Gepmetry and Related Fields 2024" organized by Department of Applied Science, IIIT Allahabad, on April 05–07, 2024.
Attended a Workshop on "Unlocking Research Funding: A Guide to Planning and Writing Research Proposals" organized by Poornima University, Rajasthan, on February 08, 2025.
Attended an Orientation on "NEP 2020 Orientation & Sensitization Programme under Malaviya Mission Teaching Training Programme (MM-TTP) of University Grants Commission (UGC)" organized by Indian Institute of Information Technology, Design and Manufacturing, Kancheepuram, Chennai, on February 03 – 13, 2025.
Attended a Webinar on "The Evolution of Optical Fiber Communication: Unlocking Innovation & Growth" organized by Department of Electronics & Computer Engineering of Maharshi Parshuram College of Engineering, Velneshwar, on February 06, 2025.
Completed an FDP on "Innovations in Machine Learning, AI, Data Science and Modelling" organized by Electronics and ICT Academy IIT Roorkee in Association with Vignan’s Foundation for Science, Technology & Research (Deemed to be University), Andhra Pradesh from 16th December 2024 – 23rd December 2024.
Completed a One-week FDP on "Artificial Intelligence and It’s Applications in Multidisciplinary" organized by School of Technology, The Apollo University, Chittoor, Andhra Pradesh from 10th March 2025 – 15th March 2025.