1
Department of Mathematics, Lahijan Branch, Islamic Azad University, Lahijan, Iran
2
Tabriz university
Abstract
This paper proposes a new computational scheme for approximating variable-order fractional integral operators by means of finite element scheme. This strategy is extended to approximate the solution of a class of variable-order fractional nonlinear systems with time-delay. Numerical simulations are analyzed in the perspective of the mean absolute error and experimental convergence order. To illustrate the effectiveness of the proposed scheme, dynamical behaviors of the variable-order fractional unified chaotic systems with time-delay are investigated in the time domain.
Yaghoobi, S., Parsa Moghaddam, B., & Ivaz, K. (2018). A numerical approach for variable-order fractional unified chaotic systems with time-delay. Computational Methods for Differential Equations, 6(4), 396-410.
MLA
Sholeh Yaghoobi; Behrouz Parsa Moghaddam; Karim Ivaz. "A numerical approach for variable-order fractional unified chaotic systems with time-delay". Computational Methods for Differential Equations, 6, 4, 2018, 396-410.
HARVARD
Yaghoobi, S., Parsa Moghaddam, B., Ivaz, K. (2018). 'A numerical approach for variable-order fractional unified chaotic systems with time-delay', Computational Methods for Differential Equations, 6(4), pp. 396-410.
VANCOUVER
Yaghoobi, S., Parsa Moghaddam, B., Ivaz, K. A numerical approach for variable-order fractional unified chaotic systems with time-delay. Computational Methods for Differential Equations, 2018; 6(4): 396-410.
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