Gimnitz Simon

Gimnitz Simon's

Page

Welcome!

Last updated: July 2, 2025

Send e-mail: gimnitz@gmail.com

 Research

About Me

I am Gimnitz Simon S., a Ph.D. candidate in Mathematics at SRM Institute of Science and Technology, Chennai. My research focuses on the application of Lie symmetry methods to fractional differential equations. I am particularly interested in developing analytical and numerical techniques for solving complex nonlinear fractional differential equations that arise in various fields of science and engineering.

My areas of interest include Differential Equations, Lie Symmetry Analysis, Conservation Laws, and Fractional Calculus. You can download my CV here for more details about my academic background and research experience.

Research Profile

Field of Research: Differential Equations, Lie Symmetry

Research Title: Lie group analysis to some fractional differential equations

Research Description: My research explores nonlinear differential equations with fractional order. Lie symmetry is used to reduce complicated partial differential equations into simpler solvable ordinary differential equations under invariance. Further, we analyse our reduced model under various methods to obtain solutions. Furthermore, we derive conserved vectors using symmetries.

Research Interests: Differential Equations; Lie Symmetry Analysis; Conservation Laws

Publications

  1. Simon, S. G., Bira, B., & Zeidan, D. (2023). Optimal systems, series solutions and conservation laws for a time fractional cancer tumor model. Chaos, Solitons & Fractals, 169, 113311, https://doi.org/10.1016/j.chaos.2023.113311 (Q1; SCIE, IF: 5.3).
  2. Simon, S. G., & Bira, B. (2024). Classical and non-classical symmetries of time-fractional Navier–Stokes equation. Indian Journal of Physics, 98(7), 2475-2483, https://doi.org/10.1007/s12648-023-03010-5 (Q3; SCIE, IF: 1.6).
  3. Simon, S. G., & Bira, B. (2025). Lie Symmetries With Exact Solution for Time‐Fractional Foam Drainage Equation. Mathematical Methods in the Applied Sciences, 48(5), 5474-5482, https://doi.org/10.1002/mma.10612 (Q1; SCIE, IF: 2.1).
  4. Simon, S. G., Bira, B., & Thambiayya, S. (2025). Optimal algebras and novel solutions of time-fractional (2+1 – D) European call option model. Discrete Dynamics in Nature and Society, 2025 (1), 5568285, https://doi.org/10.1155/ddns/5568285 (Q3; SCIE, IF: 1.2).
  5. Simon, S. G., Bira, B., & Shagolshem, S. (2025). Symmetry analysis, exact solutions and conservation laws of time fractional reaction-diffusion system occurring in diffusive flows. Physics of Fluids, 2025 (Accepted for publication) (Q1, SCIE, IF: 4.3).

Conferences

  1. Presented a paper titled, "Invariant similarity transformations for time-fractional Navier-Stokes equation", International Conference on Mathematical Modelling, Simulation and Nonlinear Dynamics (ICMMSND 2024) organized by Bharathiar University, Coimbatore on February 15-16, 2024.
  2. Presented a paper titled, "Exact solution of fractional order Chagas virus model", International Conference on Mathematical Analysis and Applications in Science and Engineering-ICMAS2SC'24, organized by School of Engineering of the Polytechnic of Porto, Portugal on June 20-22, 2024.

Workshops and Webinars

  1. Faculty Development Programme on "Emerging Research Directions And Opportunities In Mathematics And Statistics" organized by Department of Mathematics (S&H), SRM Institute of Science and Technology, Kattankulathur, Chennai, during January 20-27, 2025.
  2. Research Development Programme on "Applications Of Genomics In Diagnostics And Biopharmaceutical Research" organized by Department of Genetic Engineering, SRM Institute of Science and Technology, Kattankulathur, Chennai, on February 15, 2025.
  3. One Day National Level Webinar on "Diophantine Equations and Special Numbers" organized by Department of Mathematics, Jairams Arts and Science College, Karur, on March 13, 2022.

Home

Curriculum vitae

Education

Research

Publications

Conferences

Blog

Web Links

Mr. Gimnitz Simon S.
Department of Mathematics
SRM Institute of Science and Technology
Kattankulathur, Chennai
Email: gimnitz@gmail.com

Disclaimer: The views and opinions expressed in this website are strictly those of the author. The contents have not been reviewed or approved by SRM Institute of Science and Technology.