DOAJ Open Access 2025

Dynamical behaviors for analyzing the stability of glycolysis model using fractal–fractional derivative

S. Sabarinathan M. Sivashankar Kottakkaran Sooppy Nisar Suliman Alsaeed C. Ravichandran

Abstrak

One very useful tool for simulating the intricate feedback processes that take place in a biological system is the glycolysis model. The nonlinearity, stiffness, and parameter sensitivity of this system make it difficult to accurately predict its behavior. This article focuses on the stability analysis of fractal–fractional derivatives for glycolysis modeling of the biochemical system. The primary objective is to examine the criteria for existence and uniqueness using the fixed-point technique. The study explores the Hyers–Ulam stability results and discusses other significant findings for the proposed model, and also employs numerical schemes using the Lagrange interpolation polynomial method. Finally, simulated graphical representations for various fractal–fractional order values are generated, and the simulation results confirm the effectiveness and practical applicability of the theoretical findings.

Topik & Kata Kunci

Applied mathematics. Quantitative methods

Penulis (5)

S. Sabarinathan

M. Sivashankar

Kottakkaran Sooppy Nisar

Suliman Alsaeed

C. Ravichandran

Format Sitasi

APA MLA BibTeX

Sabarinathan, S., Sivashankar, M., Nisar, K.S., Alsaeed, S., Ravichandran, C. (2025). Dynamical behaviors for analyzing the stability of glycolysis model using fractal–fractional derivative. https://doi.org/10.1016/j.padiff.2025.101198

Akses Cepat

PDF tidak tersedia langsung

Cek di sumber asli →

Lihat di Sumber doi.org/10.1016/j.padiff.2025.101198

Informasi Jurnal

Tahun Terbit: 2025
Sumber Database: DOAJ
DOI: 10.1016/j.padiff.2025.101198
Akses: Open Access ✓