A numerical integration approach for fractional‐order viscoelastic analysis of hereditary‐aging structures

2019 ◽  
Vol 121 (6) ◽  
pp. 1120-1146 ◽  
Author(s):  
Angela Beltempo ◽  
Alessio Bonelli ◽  
Oreste S. Bursi ◽  
Massimiliano Zingales
Keyword(s):  
Numerical Integration ◽  
Fractional Order ◽  
Viscoelastic Analysis ◽  
Integration Approach ◽  
Aging Structures

A Gauss Quadrature Like Numerical Integration Approach Based on Hermite Interpolation with Node Optimisation

2011 ◽  
Author(s):  
Ayla Okan ◽  
N. A. Baykara ◽  
Metin Demiralp ◽  
Theodore E. Simos ◽  
George Psihoyios ◽  
...  
Keyword(s):  
Numerical Integration ◽  
Hermite Interpolation ◽  
Gauss Quadrature ◽  
Integration Approach

scholarly journals Chaos Suppression in a Gompertz-like Discrete System of Fractional Order

2020 ◽  
Vol 30 (03) ◽  
pp. 2050049
Author(s):  
Marius-F. Danca ◽  
Michal Fečkan
Keyword(s):  
Lyapunov Exponent ◽  
Fractional Calculus ◽  
Numerical Integration ◽  
Fractional Order ◽  
Discrete System ◽  
Control Algorithm ◽  
Impulsive Control ◽  
Chaotic Behavior ◽  
Discrete Fractional Calculus ◽  
Chaos Suppression

In this paper, we introduce the fractional-order variant of a Gompertz-like discrete system. The chaotic behavior is suppressed with an impulsive control algorithm. The numerical integration and the Lyapunov exponent are obtained by means of the discrete fractional calculus. To verify numerically the obtained results, beside the Lyapunov exponent, the tools offered by the 0-1 test are used.

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