Technical communique: A note on fractional-order derivatives of periodic functions

By Mohammad Saleh Tavazoei. 2010

145 citations recorded by the source corpus.

Subfields: Control and Systems Engineering, Geometry and Topology, Modeling and Simulation

View Paper: https://www.semanticscholar.org/paper/3e279e06f55eea8cb4bc6724e82f76de45e74d87

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Control and Systems Engineering

1. Guoping Jiang
2. Min Xiao
3. Jinxing Lin
4. W. Zheng
5. Yuhong Tang
6. Eva Kaslik
7. Jinde Cao
8. Seenith Sivasundaram

In Geometry and Topology

1. Eva Kaslik
2. Seenith Sivasundaram

In Modeling and Simulation

1. Eva Kaslik
2. Seenith Sivasundaram

Citations in the corpus

• Fractional-order PD control at Hopf bifurcations in a fractional-order congestion control system (2017, background): “It is noted that fractional-order dynamical systems are quite different from integerorder counterparts [32,33].”
• Non-existence of periodic solutions in fractional-order dynamical systems and a remarkable difference between integer and fractional-order derivatives of periodic functions☆ (2011, methodology): “In conclusion, it has to be underlined that the statements of Theorem 1 from [35] and the main Theorem from [36] are correct, but the proofs of these statements rely on Lemma 3 from [36], which is incorrect.”