Global synchronization of fractional‐order and integer‐order N component reaction diffusion systems: Application to biochemical models
Sign Up to like & getrecommendations! Published in 2020 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.6807
Abstract: This study considers the problem of control and synchronization between fractional‐order and integer‐order, N‐components reaction‐diffusion systems with nonidentical coefficients and different nonlinear parts. The control scheme is designed using the Lyapunov direct method. The results… read more here.
Keywords: integer order; order; fractional order; reaction diffusion ... See more keywords
Different Generalized Synchronization Schemes Between Integer-Order and Fractional-Order Chaotic Systems with Different Dimensions
Sign Up to like & getrecommendations! Published in 2018 at "Differential Equations and Dynamical Systems"
DOI: 10.1007/s12591-016-0317-7
Abstract: This paper addresses the problem of generalized synchronization (GS) between different dimensional integer-order and fractional-order chaotic systems. Based on the stability theory of linear continuous time dynamical systems, stability results of linear fractional order systems… read more here.
Keywords: order; fractional order; integer order; order chaotic ... See more keywords
A general robust method for the synchronization of fractional-integer-order 3-D continuous-time quadratic systems
Sign Up to like & getrecommendations! Published in 2019 at "International Journal of Dynamics and Control"
DOI: 10.1007/s40435-019-00511-2
Abstract: In this paper, a general robust synchronization method for fractional-order and integer-order 3-D continuous-time quadratic systems is introduced. Based on the idea of the decomposition of the controller in the response system in two sub-controllers… read more here.
Keywords: order; continuous time; integer order; synchronization ... See more keywords
Two Strategies for Fractional Sliding Mode Control of Integer Order Systems by System Augmentation: Application to a Servomotor
Sign Up to like & getrecommendations! Published in 2017 at "IFAC-PapersOnLine"
DOI: 10.1016/j.ifacol.2017.08.1247
Abstract: Abstract This paper investigates new alternatives of sliding mode control (SMC) derived by introducing fractional dynamics into integer order systems. This is based on system augmentation, that is, the definition of pseudo-states for the integer… read more here.
Keywords: sliding mode; order; system; control ... See more keywords
Estimation of Non-integer Order Models to Represent the Pressure Dynamics in Common-rail Natural Gas Engines
Sign Up to like & getrecommendations! Published in 2017 at "IFAC-PapersOnLine"
DOI: 10.1016/j.ifacol.2017.08.2084
Abstract: Abstract Automotive natural gas engines are designed to dramatically reduce the emission of polluting gases, particulate matter, and harmful substances associated to combustion of Diesel or gasoline fuels. Their performance depends on the accurate metering… read more here.
Keywords: common rail; order; gas; integer order ... See more keywords
Dislocated projective synchronization between fractional-order chaotic systems and integer-order chaotic systems
Sign Up to like & getrecommendations! Published in 2017 at "Optik"
DOI: 10.1016/j.ijleo.2016.11.118
Abstract: Abstract This paper focuses on the dislocated projective synchronization (DPS) between the fractional-order and the integer-order chaotic systems. Based on the small-gain theorem, nonlinear controllers are designed to reach the DPS between the fractional-order and… read more here.
Keywords: order; fractional order; dislocated projective; integer order ... See more keywords
Frequency Loop-Shaping and IMC-Based Integer-Order Robust PID Controller Design for Fractional-Order Processes with Time-Delay
Sign Up to like & getrecommendations! Published in 2024 at "IETE Journal of Research"
DOI: 10.1080/03772063.2024.2367048
Abstract: It is well accepted that fractional-order calculus yields a more accurate description of complex physical processes compared to integer-order one. So, fractional-order modelling is getting a good attention in the process industry. On the other… read more here.
Keywords: pid controller; fractional order; time; order ... See more keywords
Mass transport in brain cells: integer-order and fractional-order modeling
Sign Up to like & getrecommendations! Published in 2024 at "Physica Scripta"
DOI: 10.1088/1402-4896/ad97ee
Abstract: This work successfully elucidates the process of mass transport to brain tissues in a mathematical framework by considering two concepts of porosity and tortuosity in terms of both integer-order and fractional-order models. Henceforth, the analytical… read more here.
Keywords: order fractional; fractional order; order; mass transport ... See more keywords
A Fast Algorithm for Computation of General Integer-Order Hankel Transforms
Sign Up to like & getrecommendations! Published in 2025 at "IEEE Signal Processing Letters"
DOI: 10.1109/lsp.2025.3592107
Abstract: The letter presents an improved algorithm for computation of general integer-order Hankel transforms, which is back-projection based. The original algorithm breaks the Hankel transform into an inverse fast Fourier transform and a discrete summation involving… read more here.
Keywords: computation general; algorithm computation; algorithm; general integer ... See more keywords
Serial-parallel Fractional-integer-order Echo state Network for Time Series Prediction
Sign Up to like & getrecommendations! Published in 2025 at "IEEE Transactions on Knowledge and Data Engineering"
DOI: 10.1109/tkde.2025.3622941
Abstract: In this paper, considering the memory capability of fractional-order reservoirs and the immunity of integer-order reservoirs, a serial-parallel fractional-integer-order echo state network(SP-FIO-ESN) model, is proposed for time series prediction. First, according to the superior adaptive… read more here.
Keywords: serial parallel; parallel fractional; fio esn; order ... See more keywords
A Comprehensive Analysis of Complex Dynamics in the Fractional-Order Rössler System
Sign Up to like & getrecommendations! Published in 2025 at "Mathematics"
DOI: 10.3390/math13193089
Abstract: This paper proposes a numerical technique to study dynamical systems and uncover new behaviors in chaotic fractional-order models, a field that continues to attract significant research interest due to its broad applicability and the ongoing… read more here.
Keywords: system; fractional order; order; integer order ... See more keywords