1. Ding Y., Wang Z., Ye H.," optimal control of a fractional-order HIV-immune system with memory", Control Syst. Technol. IEEE Trans., 20 (3) (2012) 763-769. https://doi.10.1109/TCST.2011.2153203.
2. Sun, H., Zhang, Y., Baleanu, D., Chen, W., Chen, Y.Q. "A new collection of real world applications of fractional calculus in science and engineering". Commun. Nonlinear Sci. Numer. Simul., 64, (2018) 213-231. https://doi.org/10.1016/j.cnsns.2018.04.019.
3. Meng R., Yin D., Drapaca C.S., "A variable order fractional constitutive model of the viscoelastic behavior of polymers", Int. J. Nonlinear Mech., 113 (2019) 171-177. https://doi.org/10.1016/j.ijnonlinmec.2019.04.002.
4. Naik P.A., Zu J., Owolabi K.M., "Global dynamics of a fractional order model for the transmission of HIV epidemic with optimal control", Chaos, Solit. Fractals, 138 (2020) 109826. https://doi.org/10.1016/j.chaos.2020.109826.
5. Borah M., Das D., Gayan A., Fenton F., Cherry E., "Control and anticontrol of chaos in fractional-order models of Diabetes, HIV, Dengue, Migraine, Parkinson's and Ebola virus diseases", Chaos, Solit. Fractals, 153 (1) (2021) 111419. https://doi.org/10.1016/j.chaos.2021.111419.
6. Hassani H., Tenreiro Machado J.A., Mehrabi S., "An optimization technique for solving a class of nonlinear fractional optimal control problems: Application in cancer treatment", Appl. Math. Model., 93 (2021) 868-884. https://doi:10.1016/j.apm.2021.01.004.
7. Atangana A, Akgül A., "Analysis of a derivative with two variable orders", AIMS Press, 7 (5) (2022) 7274-7293. https://doi:10.3934/math.2022406.
8. Abro K.A., Atangana A., Gómez-Aguilar J.F., "A comparative analysis of plasma dilution based on fractional integro-differential equation: an application to biological science", Int. J. Model. Simul., (2022). https://doi.org/10.1080/02286203.2021.2015818.
9. Agrawal, O.P., "A general formulation and solution scheme for fractional optimal control problems", Nonlinear Dyn., 38, (2004) 323–337. https://doi.org/10.1007/s11071-004-37646.
10. Agrawal, O.P., Baleanu D., "A Hamiltonian formulation and a direct numerical scheme for fractional optimal control problem", J. Vib. Control, 13 (9-10) (2007) 1269-1281. https://doi.org/10.1177/1077546307077467.
11. Agrawal, O.P., "Generalized variational problems and Euler-Lagrange equations", Comput. Math. Appl., 59 (5) (2010) 1852-1864. https://doi.org/10.1016/j.camwa.2009.08.029.
12. Keshavarz E., Ordokhani Y., Razzaghi M., "A numerical solution for fractional optimal control problems via Bernoulli polynomials", J. Vib. Control, 22 (18) (2016) 3889-3903. https://doi.org/10.1177/1077546314567181.
13. Rabiei K., Ordokhani Y., Babolian E., "The Boubaker polynomials and their application to solve fractional optimal control problems", Nonlinear Dyn., 88 (2) (2017) 1013-1026. https://doi.org/10.1007/s11071-016-3291-2.
14. Mashayekhi S., Razzaghi M., "An approximate method for solving fractional optimal control problems by hybrid functions", J. Vib. Control, 24 (9) (2018) 1621-1631. https://doi.org/10.1177/1077546316665956.
15. Sahu P., Saha Ray S., "Comparison on wavelets techniques for solving fractional optimal control problems", J. Vib. Control, 24 (6) (2018) 1185-1201. https://doi.org/10.1177/1077546316659611.
16. Salh Ali M., Shamsi M., Khosravian-Arab H., Torres D.F.M., Bozorgnia F., "A space-time pseudospectral discretization method for solving diffusion optimal control problems with two-sided fractional derivatives", J. Vib. Control, 25 (5) (2019) 1080-1095. https://doi.org/10.1177/1077546318811194.
17. Yavari M., Nazemi A., "Fractional infinite-horizon optimal control problems with a feed forward neural network scheme", Netw. Comput. Neural. Syst., 30 (2019) 125-147. https://doi.org/10.1080/0954898X.2019.1688878.
18. Salati A.B., Shamsi M., Torres D.F.M., "Direct transcription methods based on fractional integral approximation formulas for solving nonlinear fractional optimal control problems", Commun. Nonlinear Sci. Numer. Simul., 67 (2019) 334-350. https://doi.org/10.1016/j.cnsns.2018.05.011.
19. Dehestani H., Ordokhani Y., Razzaghi M., "Fractional-order Bessel wavelet functions for solving variable order fractional optimal control problems with estimation error", Int. J. Syst. Sci., 51 (6) )2020) 1032-1052. https://doi.org/10.1080/00207721.2020.1746980.
20. Heydari M.H., Razzaghi M., "Piecewise Chebyshev cardinal functions: Application for constrained fractional optimal control problems", Chaos, Solit. Fractals, 150 (2021) 111118. https://doi.org/10.1016/j.chaos.2021.111118.
21. Hassani H., Tenreiro Machado J.A., Hosseini Asl M.K., Dahaghin M.S., "Numerical solution of nonlinear fractional optimal control problems using generalized Bernoulli polynomials", Optim. Control Appl. Methods, 42 (4) (2021) 1045-1063. https://doi.org/10.1002/oca.2715.
22. Gong Z., Liu C., Teo K.L., Wang S., Wu Y., "Numerical solution of free final time fractional optimal control problems", Appl. Math. Comput., 405 (15) (2021) 126-270. https://doi.org/10.1016/j.amc.2021.126270.
23. Dehestani H., Ordokhani Y., Razzaghi M., "Pseudo-operational matrix method for the solution of variable-order fractional partial integro-differential equations", Eng. Comput., 37 (2021) 1791–1806. https://doi.org/10.1007/s00366-019-00912-z.
24. Kumar N., Mehra M., "Legendre wavelet collocation method for fractional optimal control problems with fractional Bolza cost", Numer. Methods Partial. Differ. Equ., 37 (2) (2021) 1693-1724. https://doi.org/10.1002/num.22604.
25. Sabermahani S., Ordokhani Y., "Fibonacci wavelets and Galerkin method to investigate fractional optimal control problems with bibliometric analysis", J. Vib. Control, 27 (2021) 1778-1792. https://doi.org/10.1177/1077546320948346.
26. Edrisi-Tabriz Y., Lakestani M., Razzaghi M., "Study of B-spline collocation method for solving fractional optimal control problems", Trans. Inst. Meas. Control, 43 (11) (2021) 2425-2437. https://doi.org/10.1177/0142331220987537.
27. Valian F., Ordokhani Y., Vali M.A., "Numerical solution for a class of fractional optimal control problems using the fractional-order Bernoulli functions", Trans. Inst. Meas. Control, 44 (8) (2022) 1635-1648. https://doi.org/10.1177/01423312211047033.
28. Rahimkhani P., Ordokhani Y., Babolian E., "An efficient approximate method for solving delay fractional optimal control problems", Nonlinear Dyn., 86 (3) (2016) 1649-1661. https://doi.org/10.1007/s11071-016-2983-y.
29. Hoseini S.M., Marzban H.R., "Costate computation by an adaptive pseudospectral method for solving optimal control problems with piecewise constant time lag", J. Optim. Theory Appl., 170 (3) (2016) 735755. https://doi.org/10.1007/s10957-016-0957-3.
30. Hosseinpour S., Nazemi A., "A collocation method via block-pulse functions for solving delay fractional optimal control problems", IMA. J. Math. Control Inf., 34 (4) (2017) 1215-1237. https://doi.org/10.1093/imamci/dnw020.
31. Rabiei K., Ordokhani Y., Babolian E., "Fractional-order Boubaker functions and their applications in solving delay fractional optimal control problems", J. Vib. Control, 24 (15) (2018) 3370-3383. https://doi.org/10.1177/1077546317705041.
32. Mohammadzadeh R., Lakestani M., "Optimal control of linear time‐delay systems by a hybrid of block-pulse functions and biorthogonal cubic Hermite spline multiwavelets", Optim. Control Appl. Methods, 39 (1)(2018) 357-376. https://doi.org/10.1002/oca.2351.
34. Tang X., Xu H., "Multiple-interval pseudospectral approximation for nonlinear optimal control problems with time-varying delays", Appl. Math. Model., 68 (2019) 137-151. https://doi.org/10.1016/j.apm.2018.09.039.
36. Kheyrinataj F., Nazemi A., "Müntz-Legendre neural network construction for solving delay optimal control problems of fractional order with equality and inequality constraints", Soft. Comput, 24 (2020) 9575-9594. https://doi.org/10.1007/s00500-019-04465-7.
37. Kheyrinataj F., Nazemi A., "Fractional Chebyshev functional link neural network‐optimization method for solving delay fractional optimal control problems with Atangana‐Baleanu derivative", Optim. Control Appl. Methods, 41 (3) (2020) 808-832. https://doi.org/10.1002/oca.2572.
38. Rakhshan S.A., Effati S., "Fractional optimal control problems with time-varying delay: A new delay fractional Euler-Lagrange equations", J. Franklin Inst. 357 (10) (2020) 5954-5988. https://doi.org/10.1016/j.jfranklin.2020.03.038.
39. Liu C., Gong Z., Yu C., Wang S., Teo K.L., "Optimal control computation for nonlinear fractional time-delay systems with state inequality constraints", J. Optim. Theory Appl. 191 (2021) 83-117. https://doi.org/10.1007/s10957-021-01926-8.
40. Yuttanan B., Razzaghi M., Vo T.N., "Legendre wavelet method for fractional delay differential equations", Appl. Numer. Math., 168 (2021) 127-142. https://doi.org/10.1016/j.apnum.2021.05.024.
41. Liu C., Gong Z., Teo K.L., Wang S., "Optimal control of nonlinear fractional-order systems with multiple time-varying delays", J. Optim. Theory Appl. 193 (1-3) (2022) 856-876. https://doi:10.1007/s10957-021-01935-7.
42. Marzban H.R., Pirmoradian H., "A direct approach for the solution of nonlinear optimal control problems with multiple delays subject to mixed state-control constraints", Appl. Math. Model., 53 (2018) 189-213. https://doi:10.1016/j.apm.2017.08.025.
43. Marzban H.R., Razzaghi M., "Hybrid functions approach for linearly constrained quadratic optimal control problems", Appl. Math. Model., 27 (6) (2003) 471-485. https://doi.org/10.1016/S0307-904X(03)00050-7.
44. Podlubny I., "Fractional Differential Equations", Academic Press, San Diego, CA, (1999).
45. Marzban H.R., Nezami A., "Analysis of nonlinear fractional optimal control systems described by delay Volterra-Fredholm integral equations via a new spectral collocation method", Chaos Solit. Fractals, 162 (2022) 112499. https://doi.org/10.1016/ j.chaos.2022.112499.
46. Bogachev V.I., "Measure Theory", vol. I, Berlin, Heidelberg, New York, Springer-Verlag, (2007).