On a nonlinear dynamical system with both chaotic and nonchaotic behaviors: a new fractional analysis and control

D Baleanu, SS Sajjadi, A Jajarmi, Ö Defterli - Advances in Difference …, 2021 - Springer
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 …

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 …

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 …

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 …

[PDF][PDF] Fractional hamiltonian of nonconservative systems with second order lagrangian

O Jarab'ah, K Nawafleh - American Journal of Physics and …, 2018 - researchgate.net
In this paper, the nonconservative systems with second order Lagrangian are investigated
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 …

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 …

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 …

[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 …