Application of Newton's polynomial interpolation scheme for variable order fractional derivative with power-law kernel

S Naveen, V Parthiban - Scientific Reports, 2024 - nature.com
This paper, offers a new method for simulating variable-order fractional differential operators
with numerous types of fractional derivatives, such as the Caputo derivative, the Caputo …

Navigating climate complexity and its control via hyperchaotic dynamics in a 4D Caputo fractional model

MK Naik, C Baishya, RN Premakumari, ME Samei - Scientific Reports, 2024 - nature.com
This interdisciplinary study critically analyzes current research, establishing a profound
connection between sea water, sea ice, sea temperature, and surface temperature through a …

[HTML][HTML] Feedback Control Design Strategy for Stabilization of Delayed Descriptor Fractional Neutral Systems with Order 0 < ϱ < 1 in the Presence of Time-Varying …

ZS Aghayan, A Alfi, SMA Pahnehkolaei… - Fractal and Fractional, 2024 - mdpi.com
Descriptor systems are more complex than normal systems, which are modeled by
differential equations. This paper derives stability and stabilization criteria for uncertain …

Solvability of a generalized ψ-Riemann–Liouville fractional BVP under nonlocal boundary conditions

F Haddouchi, ME Samei - Mathematics and Computers in Simulation, 2024 - Elsevier
In this paper we consider a class of nonlinear BVP involving fractional derivative in the ψ-
Riemann–Liouville sense with nonlocal boundary conditions. By means of some properties …

Qualitative properties and optimal control strategy on a novel fractional three-species food chain model

RN Premakumari, C Baishya, S Rezapour… - Qualitative Theory of …, 2024 - Springer
In this study, the dynamics of a novel three-species food chain model featuring the Sokol–
Howell functional response are explored. The fear of predators is incorporated into prey …

An investigation on existence and optimal feedback control for fractional neutral stochastic evolution hemivariational inequalities

S Vivek, V Vijayakumar - Qualitative Theory of Dynamical Systems, 2024 - Springer
This paper addresses some interesting results of optimal feedback control for neutral
stochastic fractional systems in Hilbert spaces. We study the primary results by utilizing the …

Chaotic Dynamics of Conformable Maturity-Structured Cell Population Models

M Menchih, K Hilal, A Kajouni, ME Samei - Qualitative Theory of …, 2024 - Springer
The primary aim of this study is to analyze the chaotic dynamics of a conformable maturity
structured cell partial differential equation of order z∈(0, 1), which extends the classical …

A novel optimal control strategy for nutrient-phytoplankton-zooplankton model with viral infection in plankton

RN Premakumari, C Baishya, ME Samei… - … in Nonlinear Science and …, 2024 - Elsevier
This paper presents a mathematical model that explores the intricate dynamics between
nutrients, phytoplankton, and zooplankton populations, incorporating viral infection …

A dynamic learning method for phase synchronization control in Hodgkin–Huxley neuronal networks

Q Ding, Y Wu, W Huang, Y Jia - The European Physical Journal Special …, 2024 - Springer
The mathematical optimization techniques may control the network to target firing patterns
by adjusting the weights of network nodes. Inspired by the dynamics of dynamical learning …

Vibration suppression and P-bifurcation of a randomly excited fractional-order dam** system controlled by nonlinear energy sink

YH Sun, ZJ Liao, YG Yang - Nonlinear Dynamics, 2024 - Springer
Nonlinear energy sink (NES) is a device used for structural vibration reduction, which can
not only achieve targeted energy transfer, but also has many advantages such as wide …