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A numerical approach for variable-order fractional unified chaotic systems with time-delay | ||
Computational Methods for Differential Equations | ||
مقاله 1، دوره 6، شماره 4، دی 2018، صفحه 396-410 اصل مقاله (1.8 M) | ||
نوع مقاله: Research Paper | ||
نویسندگان | ||
Sholeh Yaghoobi1؛ Behrouz Parsa Moghaddam* 1؛ Karim Ivaz2 | ||
1Department of Mathematics, Lahijan Branch, Islamic Azad University, Lahijan, Iran | ||
2Tabriz university | ||
چکیده | ||
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. | ||
کلیدواژهها | ||
Variable-order fractional calculus؛ Finite element scheme؛ Unified chaotic systems | ||
آمار تعداد مشاهده مقاله: 852 تعداد دریافت فایل اصل مقاله: 1,216 |