VINOTH R

@vit.ac.in

Research Assistant, Department of Mathematics
Vellore Institute of Technology, Vellore

VINOTH R


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https://researchid.co/vinothsmr

RESEARCH, TEACHING, or OTHER INTERESTS

Analysis, Modeling and Simulation, Numerical Analysis, Geometry and Topology
3

Scopus Publications

3

Scholar Citations

1

Scholar h-index

Scopus Publications

  • A numerical framework for fractional and fractal-fractional analysis of the Pehlivan chaotic system using Caputo derivative
    R. Vinoth, M. Jayalakshmi
    Scientific Reports, 2026
    The Pehlivan chaotic system, introduced by Ibrahim Pehlivan and Yilmaz Uyaroglu, is a three-dimensional autonomous chaotic model with rich dynamical properties. This paper develops a numerical framework for the fractional and fractal-fractional versions of the system using the Caputo derivative. Integrating fractal geometry with fractional calculus reveals enhanced complexity and diverse dynamical behavior. Theoretical analyses covering equilibrium points, existence and uniqueness of solutions, Ulam stability, and error bounds ensure mathematical validity. Numerical results confirm accuracy and convergence, showing how fractional and fractal-fractional parameters influence the Pehlivan attractors and demonstrate the potential of fractal-fractional calculus in chaotic system analysis.
  • Fractal construction via iterated function systems in intuitionistic fuzzy metric spaces under banach orbital conditions
    Vinoth R, Jayalakshmi M
    Research in Mathematics, 2026
  • Generalization and Properties of κ-Intuitionistic Fuzzy Metric Spaces with Applications to Fixed-Point Theorems
    Vinoth R, Jayalakshmi M
    Contemporary Mathematics Singapore, 2025
    This study introduces κ-intuitionistic fuzzy metric spaces, significantly broadening the scope of intuitionistic fuzzy metric spaces. This framework offers greater flexibility and applicability by incorporating multiple parameters (κ) into an intuitionistic fuzzy set. The study explores the properties of κ-intuitionistic fuzzy metric spaces, demonstrating that their topology is first-countable and that the corresponding metric space is Hausdorff. We establish a fixed-point theorem that generalizes and extends existing results for intuitionistic fuzzy metric spaces.

RECENT SCHOLAR PUBLICATIONS

  • Fractal construction via iterated function systems in intuitionistic fuzzy metric spaces under banach orbital conditions
    MJ R Vinoth
    Research in Mathematics 13 (1), 1-21 , 2026
    2026
  • A numerical framework for fractional and fractal-fractional analysis of the Pehlivan chaotic system using Caputo derivative
    R Vinoth, M Jayalakshmi
    Scientific Reports , 2026
    2026
  • Generalization and Properties of κ-Intuitionistic Fuzzy Metric Spaces with Applications to Fixed-Point Theorems
    R Vinoth, M Jayalakshmi
    Contemp. Math 6, 903-922 , 2025
    2025
    Citations: 3

MOST CITED SCHOLAR PUBLICATIONS

  • Generalization and Properties of κ-Intuitionistic Fuzzy Metric Spaces with Applications to Fixed-Point Theorems
    R Vinoth, M Jayalakshmi
    Contemp. Math 6, 903-922 , 2025
    2025
    Citations: 3
  • Fractal construction via iterated function systems in intuitionistic fuzzy metric spaces under banach orbital conditions
    MJ R Vinoth
    Research in Mathematics 13 (1), 1-21 , 2026
    2026
  • A numerical framework for fractional and fractal-fractional analysis of the Pehlivan chaotic system using Caputo derivative
    R Vinoth, M Jayalakshmi
    Scientific Reports , 2026
    2026