Solving multi-dimensional fractional optimal control problems with inequality constraint by Bernstein polynomials operational matrices
By Mohsen Alipour, Davood Rostamy, Dumitru Băleanu. 2013
101 citations recorded by the source corpus.
Subfields: Computational Theory and Mathematics, Modeling and Simulation, Numerical Analysis
View Paper: https://www.semanticscholar.org/paper/664b8e7e1aad4431b6cfe22d4fdb8705944b7b0f
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Computational Theory and Mathematics
- Yadollah Ordokhani
- Amin Jajarmi
- Mohsen Razzaghi
- Somayeh Mashayekhi
- Sedigheh Sabermahani
- Dumitru Băleanu
In Modeling and Simulation
- Yadollah Ordokhani
- Sedigheh Sabermahani
- Somayeh Mashayekhi
- Amin Jajarmi
- Mohsen Razzaghi
- Dumitru Băleanu
- Fakhrodin Mohammadi
- Leila Moradi
In Numerical Analysis
- Somayeh Mashayekhi
- Mohsen Razzaghi
- Yadollah Ordokhani
- Sedigheh Sabermahani
- Amin Jajarmi
- Dumitru Băleanu
- Fakhrodin Mohammadi
- Leila Moradi
Citations in the corpus
- A hybrid functions numerical scheme for fractional optimal control problems: Application to nonanalytic dynamic systems (2017, background): “Moreover, the numerical solution of multi-dimensional FOCPs with inequality constraints has been investigated by Alipour et al. (2013).”
- Fibonacci wavelets and Galerkin method to investigate fractional optimal control problems with bibliometric analysis (2020, methodology): “171973 Bernstein polynomials (Alipour et al., 2013) m = 7 1721340 m = 8 1689860 Generalized fractional Chebyshev functions (Rabiei and Parand, 2020) m = 5 0.”
- An approximate method for solving fractional optimal control problems by hybrid functions (2018, methodology): “In Table 2, we compare the value of J for ¼ 1, obtained both with our method and with the Bernstein method (Alipour et al., 2013).”
- An iterative approach for solving fractional optimal control problems (2018, unknown): “…et al. (2010, 2012), Tricaud and Chen (2010), Lotfi et al. (2011), Yousefi et al. (2011), Jarad et al. (2012), Akbarian and Keyanpour (2013), Alipour et al. (2013), Lotfi and Yousefi (2013), Pooseh et al. (2013), Bhrawy et al. (2015a); Bhrawy et al. (2015b), Doha et al. (2015), and the…”