Results 51 to 60 of about 2,380 (167)

On three-dimensional variable order time fractional chaotic system with nonsingular kernel [PDF]

We use the Adams-Bashforth-Moulton scheme (ABMS) to determine the approximate solution of a variable order fractional three-dimensional chaotic process.
Hashemi, Mir Sajjad, İnç, Mustafa, Yusuf, Abdullahi   +2 more
core   +1 more source

Complex Dynamical Analysis of Two Factors of Fractional‐Order Conflict Model With Time Delay and Feedback Control Strategy: With Focus on China’s Internet Conflicts

Discrete Dynamics in Nature and Society, Volume 2026, Issue 1, 2026.
This paper will go beyond the traditional case study method used by most of the existing literature on Chinese internet conflict: instead, a mathematical model will be developed to explore the dynamics of the conflict, establishing a new delayed two‐factor fractional‐order model with feedback controls.
Hao Xiong, Li Deng, Zhouhong Li, Ahmed Ezzat Matouk   +3 more
wiley   +1 more source

A Caputo (discretization) fractional-order model of glucose-insulin interaction: numerical solution and comparisons with experimental data

Journal of Taibah University for Science, 2021
In this paper, we investigate a (discretization) Caputo fractional glucose-insulin model qualitatively with incommensurate orders that appear in Bergman's minimal model.
Mansoor H. Alshehri, Faisal Z. Duraihem, Ahmad Alalyani, Sayed Saber   +3 more
doaj   +1 more source

General relativistic null-cone evolutions with a high-order scheme

, 2012
We present a high-order scheme for solving the full non-linear Einstein equations on characteristic null hypersurfaces using the framework established by Bondi and Sachs.
B Gustafsson, B Szilágyi, C Reisswig, C Reisswig, C Reisswig, C Reisswig, CD Ott, Christian Reisswig, D Pollney, Denis Pollney, E Schnetter, F Löffler, H Bondi, JM Stewart, JN Goldberg, JR Driscoll, M Alcubierre, MC Babiuc, MC Babiuc, Nigel Bishop, NT Bishop, NT Bishop, NT Bishop, NT Bishop, NT Bishop, P Diener, R Bartnik, R Gómez, R Gómez, R Penrose, RK Sachs   +30 more
core   +1 more source

Innovative Approaches in Differential Equation Analysis Using the Enhanced Differential Transform and Homotopy Perturbation Method

International Journal of Differential Equations, Volume 2026, Issue 1, 2026.
Ordinary differential equations (ODEs) are very basic when it comes to modeling dynamic systems in various fields of science and engineering. However, solving high‐dimensional, nonlinear, and stiff ODEs is still a major challenge given the limitations of existing numerical methods, which tend to have difficulties in terms of accuracy and efficiency ...
V. Murugesh, M. Priyadharshini, Yogesh Kumar Sharma, Umesh Kumar Lilhore, Sarita Simaiya, Lidia Gosy Tekeste, Gaston Mandata N′Guerekata   +6 more
wiley   +1 more source

Neuronal Dynamics of an Intrinsically Bursting Neuron Through the Caputo–Fabrizio Fractal–Fractional Hodgkin–Huxley Model

International Journal of Differential Equations, Volume 2026, Issue 1, 2026.
This study introduces a novel fractal–fractional extension of the Hodgkin–Huxley model to capture complex neuronal dynamics, with particular focus on intrinsically bursting patterns. The key innovation lies in the simultaneous incorporation of Caputo–Fabrizio operators with fractional order α for memory effects and fractal dimension τ for temporal ...
M. J. Islam, M. J. Abedin, A. Hoque, M. G. Hafez, Jaume Giné   +4 more
wiley   +1 more source

Simultaneous approximation of a function and its derivatives by Sobolev polynomials: Applications in satellite geodesy and precise orbit determination for LEO CubeSats

Geodesy and Geodynamics, 2020
The objectives of this paper are twofold: (1) to present a new method of approximation such that the function and some of its derivatives are simultaneously approximated; and (2) to investigate the potential applications of this new method in the field ...
M. Kiani
doaj   +1 more source

Comparison of Integer‐, Constant‐, and Variable‐Order Fractional Models of Competition for Student Population Using Caputo–Fabrizio Fractional Derivative With Policy Interventions

International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.
This study develops constant‐order (CO) and variable‐order (VO) Caputo–Fabrizio (CF) fractional derivative (CFFD) models to extend the classical integer‐order framework for analyzing competition among public, private, and nonenrolled student populations under varying policy intervention intensities.
Kiprotich Ezra Bett, Cyrus Gitonga Ngari, Grace Gakii Muthuri, Kareem Elgindy   +3 more
wiley   +1 more source

Fractional order analysis of modified stretch–twist–fold flow with synchronization control

AIP Advances, 2020
Nonlinear behavior and fractional order chaoticity with synchronization control of modified stretch–twist–fold (MSTF) flow are studied in this article.
Muhammad Fiaz, Muhammad Aqeel
doaj   +1 more source

A study on fractional tumour–immune–vitamins model for intervention of vitamins

Results in Physics, 2022
Cancer is a very challenging issue in terms of people’s health and lives around the world. Cancer refers to a collection of illnesses distinguished by the formation of tumour cells, malignant cells, or cancer cells that have the potential to become ...
Sunil Kumar, R.P. Chauhan, Abdel-Haleem Abdel-Aty, Sayed F. Abdelwahab   +3 more
doaj   +1 more source