The use of a Legendre multiwavelet collocation method for solving the fractional optimal control problems

By S. Yousefi, Ali Lotfi, Mehdi Dehghan. 2011

120 citations recorded by the source corpus.

Subfields: Modeling and Simulation, Numerical Analysis, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/90cad5ad787d1ad89198a459434da663cebd1418

How researchers see this paper

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

In Modeling and Simulation

1. Ali H. Bhrawy
2. Yadollah Ordokhani
3. J. Machado
4. Eid H. Doha
5. Mehrdad Lakestani
6. S. Ezz‐Eldien
7. Mohsen Razzaghi
8. Mehdi Dehghan

In Numerical Analysis

1. Ali H. Bhrawy
2. Yadollah Ordokhani
3. Mohsen Razzaghi
4. J. Machado
5. Eid H. Doha
6. Mehrdad Lakestani
7. S. Ezz‐Eldien
8. Dumitru Băleanu

In Statistics and Probability

1. Mohsen Razzaghi
2. Yadollah Ordokhani
3. Sedigheh Sabermahani
4. Elham Keshavarz
5. Ehsan-Allah Hamedi
6. Hassan Khosravian-Arab
7. S. Ezz‐Eldien
8. Ali H. Bhrawy

Citations in the corpus

• A numerical scheme for the solution of a class of fractional variational and optimal control problems using the modified Jacobi polynomials (2016, methodology): “More research works on the numerical methods for FOCPs can be found in Agrawal (2008), Lotfi et al. (2011, 2013), Pooseh et al. (2013a,b) and Yousefi et al. (2011).”
• An iterative approach for solving fractional optimal control problems (2018, unknown): “…in Agrawal and Baleanu (2007), Agrawal (2008a, b), Baleanu et al. (2009), Agrawal 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),…”
• An approximate method for solving fractional optimal control problems by hybrid functions (2018, unknown): “Email: razzaghi@math.msstate.edu Received: 31 March 2016; accepted: 1 August 2016 Baleanu et al., 2009; Tricaud and Chen, 2010; Yousefi et al., 2011).”
• Fibonacci wavelets and Galerkin method to investigate fractional optimal control problems with bibliometric analysis (2020, methodology): “Also, some other existing numerical methods for solving FOCPs are Chebyshev wavelets (Rafiei et al., 2018), Legendre multiwavelet collocation method (Yousefi et al., 2011), integral fractional pseudospectral method (Tang et al., 2015), etc.”
• Numerical solution for a class of fractional convection–diffusion equations using the flatlet oblique multiwavelets (2014, background): “…Lotfi et al. (2011), Magin et al. (2009), Kayedi et al. (2012), Saadatmandi and Dehghan (2010, 2011a), Saadatmandi et al. (2012),Dehghan et al. (2010a, 2010b), Saadatmandi and Dehghan (2011b), Wang (2006), Wu (2009) and Yousefi et al. (2011) for recent works on fractional differential equations.”
• A numerical solution for fractional optimal control problems via Bernoulli polynomials (2016, methodology): “The Hamiltonian system of equations for FOCPs has been solved approximately by Agrawal (2004, 2008a,b), Agrawal and Baleanu (2004), Baleanu et al. (2009), Tricaud and Chen (2010a,b), and Yousefi et al. (2011) for Riemann– Liouville and Caputo fractional derivatives, respectively.”
• An Efficient Numerical Scheme for Solving Multi‐Dimensional Fractional Optimal Control Problems With a Quadratic Performance Index (2015, methodology): “t LMWCM [33] Our method N = 3 N = 4 N = 6 N = 3 N = 4 N = 6 0.”