A numerical scheme for the solution of a class of fractional variational and optimal control problems using the modified Jacobi polynomials

By Mehdi Dehghan, Ehsan-Allah Hamedi, Hassan Khosravian-Arab. 2016

96 citations recorded by the source corpus.

Subfields: Applied Mathematics, Modeling and Simulation, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/4c49e0576aaac155c7efe7fb7e50e21212d1f309

How researchers see this paper

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

In Applied Mathematics

1. Amin Jajarmi
2. Dumitru Băleanu
3. Thabet Abdeljawad
4. Arran Fernandez
5. Fahd Jarad
6. Behzad Ghanbari
7. Xiao-jun Yang
8. Pshtiwan Othman Mohammed

In Modeling and Simulation

1. Amin Jajarmi
2. Dumitru Băleanu
3. Fakhrodin Mohammadi
4. Leila Moradi
5. Thabet Abdeljawad
6. Arran Fernandez
7. Behzad Ghanbari
8. Mehmet Yavuz

In Numerical Analysis

1. Amin Jajarmi
2. Dumitru Băleanu
3. Fakhrodin Mohammadi
4. Leila Moradi
5. Arran Fernandez
6. Thabet Abdeljawad
7. Behzad Ghanbari
8. Pshtiwan Othman Mohammed

Citations in the corpus

• A hybrid functions numerical scheme for fractional optimal control problems: Application to nonanalytic dynamic systems (2017, methodology): “Dehghan et al. (2016) presented a modified Jacobi polynomials and collocation method to obtain the numerical solution of FOCPs.”
• Optimal control problems with Atangana‐Baleanu fractional derivative (2020, unknown): “i=0 (2 i ) (−1)i(2jt − (k + i))+ = ⎪⎨⎪⎩ 2jt − k, k 2j ≤ t < k+1 2j , 2 − (2jt − k), k+1 2j ≤ t < k+2 2j , 0, otherwise, (9)”