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Legendre multiwavelet collocation method for solving the linear fractional time delay systems

100%
Yousefi S., Lotfi A.
|
EN
In this article the Legendre multiwavelet basis with aid of collocation method has been applied to give approximate solution for fractional delay systems. The properties of Legendre multiwavelet are presented. These properties together with the collocation method are then utilized to reduce the problem to the solution of algebraic system. Numerical results and comparison with exact solutions in the cases when we have exact solution are given in test examples in order to demonstrate the applicability and efficiency of the method.
2
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Dynamics analysis of fractional order Yu-Wang system

100%
Bhalekar S.
Open Physics
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2013
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vol. 11
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issue 10
1514-1522
EN
Fractional order version of a dynamical system introduced by Yu and Wang (Engineering, Technology & Applied Science Research, 2, (2012) 209–215) is discussed in this article. The basic dynamical properties of the system are studied. Minimum effective dimension 0.942329 for the existence of chaos in the proposed system is obtained using the analytical result. For chaos detection, we have calculated maximum Lyapunov exponents for various values of fractional order. Feedback control method is then used to control chaos in the system. Further, the system is synchronized with itself and with fractional order financial system using active control technique. Modified Adams-Bashforth-Moulton algorithm is used for numerical simulations.
3
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On LQ optimization problem subject to fractional order irregular singular systems

86%
Muhafzan, Nazra A., Yulianti L., Zulakmal, Revina R., Muhafzan, Nazra A., Yulianti L., Zulakmal, Revina R.
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2020
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vol. 30
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issue 4
4
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On theoretical and practical aspects of Duhamel’s integral

72%
Różański M., Sikora B., Smuda A., Wituła R., Różański M., Sikora B., Smuda A., Wituła R.
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2021
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vol. 31
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issue 4
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