A numerical solution for fractional optimal control problems via Bernoulli polynomials
By Elham Keshavarz, Yadollah Ordokhani, Mohsen Razzaghi. 2016
118 citations recorded by the source corpus.
Subfields: Control and Systems Engineering, Modeling and Simulation, Numerical Analysis
View Paper: https://www.semanticscholar.org/paper/bfe2a7ca2fcb32358b82cde061e3cdbabdcb0a63
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In Control and Systems Engineering
- Somayeh Mashayekhi
- Yadollah Ordokhani
- Sedigheh Sabermahani
- Mohsen Razzaghi
- Parisa Rahimkhani
- Esmail Babolian
- Abdulnasir Isah
- Chang Phang
In Modeling and Simulation
- Yadollah Ordokhani
- Sedigheh Sabermahani
- Parisa Rahimkhani
- Somayeh Mashayekhi
- Esmail Babolian
- Abdulnasir Isah
- Chang Phang
- Mohsen Razzaghi
In Numerical Analysis
- Yadollah Ordokhani
- Somayeh Mashayekhi
- Parisa Rahimkhani
- Mohsen Razzaghi
- Sedigheh Sabermahani
- Esmail Babolian
- Abdulnasir Isah
- Chang Phang
Citations in the corpus
- An efficient approximate method for solving delay fractional optimal control problems (2016, background): “The Bernoulli polynomials of order m are defined on the interval [0, 1] as [13,16]”
- Fibonacci wavelets and Galerkin method to investigate fractional optimal control problems with bibliometric analysis (2020, methodology): “Table 2 compares the approximate value of J achieved via the proposed method in M = 4 and different values of k, Boubaker polynomials (m = 4) (Rabiei et al., 2017), and Bernoulli polynomials (m = 5) (Keshavarz et al., 2016).”
- New Operational Matrix via Genocchi Polynomials for Solving Fredholm-Volterra Fractional Integro-Differential Equations (2017, methodology): “Adopting the techniques used in [16] for function approximation, we prove the following theorem of function approximation using Genocchi polynomials.”
- An approximate method for solving fractional optimal control problems by hybrid functions (2018, methodology): “Example 4 Consider the following minimization problem (Lotfi et al., 2013; Keshavarz et al., 2015)”