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On a nonlinear dynamical system with both chaotic and nonchaotic behaviors: a new fractional analysis and control
In this paper, we aim to analyze the complicated dynamical motion of a quarter-car
suspension system with a sinusoidal road excitation force. First, we consider a new …
suspension system with a sinusoidal road excitation force. First, we consider a new …
Adaptive fuzzy command filtered control for incommensurate fractional-order MIMO nonlinear systems with input saturation
S Lu, X Li, K Lu, Z Wang, Y Ma - Neural Computing and Applications, 2023 - Springer
In this paper, an adaptive fuzzy control approach for incommensurate fractional-order multi-
input multi-output (MIMO) systems with unknown nonlinearities and input saturation is …
input multi-output (MIMO) systems with unknown nonlinearities and input saturation is …
Path integral quantization of singular lagrangians using fractional derivatives
EH Hasan - International Journal of Theoretical Physics, 2020 - Springer
In this work, a general theory is given for quantizing singular systems within framework of
fractional calculus using the path integral approach. The fractional singular Lagrangians and …
fractional calculus using the path integral approach. The fractional singular Lagrangians and …
On a nonlinear dynamical system with both chaotic and nonchaotic behaviors: a new fractional analysis and control
B Dumitru, SS Sajjadi, J Amin… - Advances in Difference …, 2021 - search.proquest.com
In this paper, we aim to analyze the complicated dynamical motion of a quarter-car
suspension system with a sinusoidal road excitation force. First, we consider a new …
suspension system with a sinusoidal road excitation force. First, we consider a new …
[PDF][PDF] Fractional hamiltonian of nonconservative systems with second order lagrangian
In this paper, the nonconservative systems with second order Lagrangian are investigated
using fractional derivatives. The fractional Euler Lagrange equations for these systems are …
using fractional derivatives. The fractional Euler Lagrange equations for these systems are …
[PDF][PDF] Hamilton-Jacobi Treatment of Singular Systems Using Fractional Calculus
EH Hasan - Applied Physics Research, 2024 - scholar.archive.org
In this paper, the theory of fractional singular systems is investigated with second-order
derivatives. The fractional Hamilton–Jacobi treatment of these systems is examined. The …
derivatives. The fractional Hamilton–Jacobi treatment of these systems is examined. The …
Quantization of Fractional Singular Lagrangian systems with Second-Order Derivatives Using Path Integral Method
EH Hasan - arxiv preprint arxiv:2301.11809, 2023 - arxiv.org
The fractional quantization of singular systems with second order Lagrangian is examined.
The fractional singular Lagrangian is presented. The equations of motion are written as total …
The fractional singular Lagrangian is presented. The equations of motion are written as total …
Fractional Quantization of Singular Lagrangian systems with Second-Order Derivatives Using WKB Approximation
EH Hasan - arxiv preprint arxiv:2301.08133, 2023 - arxiv.org
In this paper, the theory of the fractional singular Lagrangian systems is investigated with
second order derivatives. The fractional quantization for these systems is examined using …
second order derivatives. The fractional quantization for these systems is examined using …
[ZITATION][C] On Fractional Solutions of Euler-Lagrange Equations with Second-Order Linear Lagrangians
EH Hasan - Journal of Advanced Physics, 2018 - ingentaconnect.com
In this paper, we have investigated the formalism of Lagrangian systems with linear
accelerations using fractional calculus. The fractional Euler-Lagrange equations for these …
accelerations using fractional calculus. The fractional Euler-Lagrange equations for these …