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Numerical simulation of fractional-order dynamical systems in noisy environments

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In this paper, the fully discrete scheme is proposed based on the Simpson’s quadrature formula to approximate fractional-order integrals for noisy signals. This strategy is extended to simulate the response… Click to show full abstract

In this paper, the fully discrete scheme is proposed based on the Simpson’s quadrature formula to approximate fractional-order integrals for noisy signals. This strategy is extended to simulate the response of fractional-order differential systems in noisy environments. The proposed technique is considered in determining statistical indicators for noisy signals in fractional electrical networks with white noise-influenced potential sources.

Keywords: order; numerical simulation; fractional order; noisy environments; simulation fractional; systems noisy

Journal Title: Computational and Applied Mathematics
Year Published: 2018

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