Exponential Stability of Solutions of a Second Order System of Integrodifferential Equations with the Caputo-Fabrizio Fractional Derivatives

Brestovanská, Eva; Medveď, Milan

doi:10.18576/pfda/020303

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Lemma 33 ([17]1

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Cited by 2 publications

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“…In addition, without loss of generality, let A = diag(-9.47, -9.47) and B = diag(1.05, 1.05). Figures 1 and 2 illustrate that our new characteristic equation det( (s)) = 0 is less affected by α and τ corresponding to the traditional Caputo characteristic equation (8). Therefore the result described by the new derivative is better than that described by the Caputo derivative.…”

Section: Lemma 33 ([17]mentioning

confidence: 91%

See 1 more Smart Citation

Stability analysis of fractional-order linear system with time delay described by the Caputo–Fabrizio derivative

Zhong

Cheng

et al. 2019

Adv Differ Equ

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In this paper, we define a characteristic equation of fractional-order linear system with time delay described by the Caputo-Fabrizio derivative. At the same time, by applying the Laplace transform and matrix theory we give a necessary and sufficient stability condition and some brief sufficient stability conditions. The proposed method is quite different from the other in the literature. In addition, we provide some examples to demonstrate the effectiveness of our results.

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Section: Lemma 33 ([17]mentioning

confidence: 91%

“…A lot of results about this new derivative are reviewed. In [7,8] the properties of the CF derivative and fractional integral associated with the CF derivative are studied. Boundary value problems with CF derivatives have been studied in [9,10].…”

Section: Introductionmentioning

confidence: 99%