Fractional Dynamics and Control
By Dumitru Băleanu, J. Machado, Albert C. J. Luo. 2011
701 citations recorded by the source corpus.
Subfields: Control and Systems Engineering
View Paper: https://www.semanticscholar.org/paper/912e247022a8f57d0ee6f88f44c64361cf34bbd5
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
- Dumitru Băleanu
- Hari M. Srivastava
- Xiao-jun Yang
- Javad Katebi
- Heng Liu
- Yongping Pan
- Ehsan Dadkhah Khiabani
- Ye Chen
Citations in the corpus
- Cantor-type cylindrical-coordinate method for differential equations with local fractional derivatives (2013, positive): “where α( f (x) − f (x0)) ∼= Γ (1 + α) ( f (x) − f (x0)) and f (x) is satisfied with the following condition [4,15]: ∣∣ f (x)− f (x0)∣∣ τ |x− x0|, so that (see [4–18])”
- Abstract Cauchy problem for fractional differential equations (2013, neutral): “[2], Diethelm [3], Kilbas et al.”
- Hermite–Hadamard-type inequalities for Riemann–Liouville fractional integrals via two kinds of convexity (2013, neutral): “[16], Diethelm [17], Kilbas et al.”
- Application of the Local Fractional Series Expansion Method and the Variational Iteration Method to the Helmholtz Equation Involving Local Fractional Derivative Operators (2013, background): “Fractional calculus theory [12–26] has been applied to deal with the differentiable models from the practical engineering discipline, which are the anomalous and fractal physical phenomena.”
- Adaptive Fuzzy Backstepping Control of Fractional-Order Nonlinear Systems (2017, methodology): “An adaptive backstepping controller similar to those in [22] and [23] was constructed for a class of fractionalorder nonlinear systems in [24].”
- Spline collocation methods for seismic analysis of multiple degree of freedom systems with visco-elastic dampers using fractional models (2020, background): “It generalizes the notions of integer-order differentiation and n-fold integration (Atangana and Baleanu, 2016; Baleanu et al., 2011, 2012; Diethelm, 2010; Edwards et al., 2002; Gemant, 1936; Gorenflo and Mainardi, 1997; Kilbas et al., 2006; Magin, 2006; Podlubny, 1999; Sabatier et al., 2007;…”