A5015962889- Fractional Differential Equations Solutions
- Numerical methods in engineering
- Nonlinear Waves and Solitons
- Iterative Methods for Nonlinear Equations
- Differential Equations and Numerical Methods
- Advanced Control Systems Design
- Mathematical and Theoretical Epidemiology and Ecology Models
- Nonlinear Differential Equations Analysis
- Numerical methods for differential equations
- Nonlinear Photonic Systems
- Mathematical functions and polynomials
- Advanced Optimization Algorithms Research
- Evolution and Genetic Dynamics
- Advanced Differential Equations and Dynamical Systems
- Mathematical Biology Tumor Growth
- Nonlinear Dynamics and Pattern Formation
- Probabilistic and Robust Engineering Design
- Numerical methods in inverse problems
- Thermoelastic and Magnetoelastic Phenomena
- Model Reduction and Neural Networks
- COVID-19 epidemiological studies
- Chaos control and synchronization
- Nanofluid Flow and Heat Transfer
- Advanced Mathematical Theories and Applications
- Neural Networks and Applications
University of South Africa
2022-2024
Xi’an Jiaotong-Liverpool University
2019-2022
Ton Duc Thang University
2020
Duy Tan University
2020
Nanjing Normal University
2016-2019
University of Vermont
2019
Hudson Institute
2019
John Wiley & Sons (United States)
2019
Brunel University of London
2019
Wherry & Sons (United Kingdom)
2019
A newly disclosed nonstandard finite difference method has been used to discretize a Lotka–Volterra model investigate the critical normal form coefficients of bifurcations for both one‐parameter and two‐parameter bifurcations. The discrete‐time prey–predator exhibits variety local such as period‐doubling, Neimark–Sacker, strong resonances. Critical are determined reveal dynamical scenarios corresponding each bifurcation point. We also complex dynamics numerically by Matlab package using...
The power transformer is one of the vital and substantial elements each country's grid which not only require high investment, but they are also important in terms economy, social, political, strategy. Since this equipment exposed to different electrical mechanical winding faults during operation, should be monitored continuously. One main monitoring methods use frequency response analysis (FRA), has a sensitivity. challenge FRA that detecting task status done by specialist with visual...
The low frequency oscillations have always been the main problem of power system and can lead to angle instability, limiting maximum be transmitted on tie-lines separation. For boosting stability limits, most effectiveness way is install supplementary excitation control, stabilizer (PSS) add a feedback stabilizing signal into automatic voltage regulator (AVR). This article investigates coordination optimization fuzzy controllers for designing PSS STATCOM more attenuation fluctuations....
In this paper, the one- and two-parameter bifurcations of a discrete-time prey–predator model with mixed functional response are investigated by computing their critical normal form coefficients. The flip, Neimark–Sacker strong resonance detected for model. coefficients identify scenario associated each bifurcation. complex dynamical behavior up to 16th iteration is investigated.
Analytically and numerically, the study examines stability local bifurcations of a discrete-time SIR epidemic model. For this model, number are studied, including transcritical, flip bifurcations, Neimark–Sacker strong resonances. These checked, their non-degeneracy conditions determined by using normal form technique (computing critical coefficients). We use MATLAB toolbox MatcontM, which is based on numerical continuation method, to confirm obtained analytical results specify more complex...
Abstract In this paper, a new computational method based on the Legendre wavelets (LWs) is proposed for solving class of variable‐order fractional optimal control problems (V‐FOCPs). To do this, operational matrix integration (OMV‐FI) in Riemann‐Liouville sense LWs derived and used to obtain an approximate solution problem under study. Along way hat functions (HFs) are introduced employed derive general procedure compute matrix. method, dynamical system transformed equivalent...
During the last years modeling of dynamical phenomena has been advanced by including concepts borrowed from fractional order differential equations. The diffusion process plays an important role not only in heat transfer and fluid flow problems, but also modelling pattern formation that arises porous media. modified time-fractional equation provides a deeper understanding several dynamic phenomena.The purpose paper is to develop efficient meshless technique for approximating problem...
The fractional reaction–subdiffusion problem is one of the most well-known subdiffusion models extensively used for simulating numerous physical processes in recent years. This paper introduces an efficient local hybrid kernel meshless procedure to approximate time involving a Riemann–Liouville derivative. technique based on central difference approach temporal direction and hybridization cubic Gaussian kernels spatial direction. main idea this develop that benefits from advantages two...
In this paper, a discrete‐time seasonally forced SIR epidemic model with nonstandard discretization scheme is investigated for different types of bifurcations. Although many researchers have already suggested numerically that can exhibit chaotic dynamics, not much focus given to the bifurcation theory model. We prove analytically and existence bifurcations in First, one two parameters are by computing their critical normal form coefficients. Second, flip, Neimark–Sacker, strong resonance...