1. Benson D.A., Meerschaert M. M., Revielle, J., "Fractional calculus in hydrologic modeling: a numerical perspective", Adv. Water Resour., 51 (2013) 479-497. 2. Sierociuk D., Dzielinski A., Sarwas G., Petras I., Podlubny I., Skovranek T., "Modelling heat transfer in heterogeneous media using fractional calculus", Phil. Trans. R. Soc. A, 371 (2013) 20120146. 3. Larsson S., Racheva M., Saedpanah F., "Discontinuous Galerkin method for an integro-differential equation modeling dynamic fractional order viscoelasticity", Comput. Method. Appl. Mech. Eng., 283 (2015) 196-209. 4. Jiang Y., Wang X., Wang Y., "On a stochastic heat equation with first order fractional noises and applications to finance", J. Math. Anal. Appl., 396 (2012) 656-669. 5. Bohannan G., "Analog fractional order controller in temperature and motor control applications", J. Vib. Control, 14 (2008) 1487-1498. 6. Jiang Y. L., Ding X. L., "Waveform relaxation methods for fractional differential equations with the Caputo derivatives", J. Comput. Appl. Math., 238 (2013) 51-67. 7. Das, S., "Fractional Calculus for System Identification and Controls", Springer, New York, (2008). 8. Irandoust-Pakchin S., Dehghan M., Abdi-Mazraeh S., Lakestani M., "Numerical solution for a class of fractional convection diffusion equations using the flatlet oblique multiwavelets", J. Vib. Control, 20 (2014) 913-924. 9. Bhrawy A. H., Doha E. H., Baleanu D., Ezz-Eldien S. S., "A spectral tau algorithm based on Jacobi operational matrix for numerical solution of time fractional diffusion-wave equations", J. Comput. Phys., 293 (2015) 142-156. 10. Darzi R., Mohammadzade B., Mousavi S., Beheshti R., "Sumudu transform method for solving fractional differential equations and fractional diffusion-wave equation", J. Math. Comput., Sci., 6 (2013) 79-84. 11. Heydari M. H., Hooshmandasl M. R., Mohammadi F., Cattani C., "Wavelets method for solving systems of nonlinear singular fractional Volterra integro-differential equations", Commun, Nonlinear Sci. Numer. Simul., 19(1) (2014) 37-48. 12. Ma J., Liu J., Zhou Z., "Convergence analysis of moving finite element methods for space fractional differential equations", J. Comput. Appl. Math., 255 (2014) 661-670. 13. Bhrawy A. H., Baleanu D., Assas L., "Efficient generalized Laguerre-spectral methods for solving multi-term fractional differential equations on the half line", J. Vib. Control, 20 (2013) 973-985. 14. Bhrawy A. H., Doha E. H., Ezz-Eldien S. S., Gorder R.A. V., "A new Jacobi spectral collocation method for solving 1+1 fractional Schrödinger equations and fractional coupled Schrödinger systems", Eur. Phys. J. Plus, 129(12) (2014) 1-21. 15. Zamani M., Karimi-Ghartemani M., Sadati N., "FOPID controller design for robust performance using particle swarm optimization", J. Frac. Calc. Appl. Anal., 10 (2007) 169-188. 16. Bohannan G. W., "Analog fractional order controller in temperature and motor control applications", J. Vib. Control, 14 (2008) 1487-1498. 17. Jesus I. S., Machado J.A.T., "Fractional control of heat diffusion systems", Nonlinear Dyn., 54(3) (2008) 263-282. 18. Suarez IJ., Vinagre BM., Chen YQ., "A fractional adaptation scheme for lateral control of an AGV", J. Vib. Control, 14 (2008)1499-1511. 19. Bryson A. E., Ho Y. C., "Applied Optimal Control: Optimization, Estimation, and Control2", Blaisdell Publishing Company, Waltham, (1975). 20. Gregory J., Lin C., "Constrained Optimization in the Calculus of Variations and Optimal Control Theory", Van Nostrand-Reinhold, South Carolina (1992). 21. Hestenes M. R., "Calculus of Variations and Optimal Control Theory"”, Wiley, New York, (1966). 22. Jelicic Z. D., Petrovacki N., "Optimality conditions and a solution scheme for fractional optimal control problems", Struct. Multidisc. Optim., 38 (2009) 571-581. 23. Biswas R. K., Sen S., "Fractional optimal control problems: a pseudo-state-space approach", J. Vib. Control 17(7) (2010) 1034–1041. 24. Lotfi A., Yousefi S. A., Dehghan Mehdi, "Numerical solution of a class of fractional optimal control problems via the Legendre orthonormal basis combined with the operational matrix and the Gauss quadrature rule", J. Comput. Appl. Math., 250 (2013) 143-160. 25. Alipour M., Rostamy D., Baleanu D., "Solving multi-dimensional fractional optimal control problems with inequality constraint by Bernstein polynomials operational matrices", J. Vib. Control, 19 (2013) 2523-2540. 26. Almeida R., Torres DFM., "A discrete method to solve fractional optimal control problems", Nonlinear Dyn., 80(4) (2015) 1811-1816. 27. Tohidi E., Nik HS., "A Bessel collocation method for solving fractional optimal control problems", Appl. Math. Model., 39(2) (2015) 455-465. 28. Hosseinpour S., Nazemi A., "Solving fractional optimal control problems with fixed or free final states by Haar wavelet collocation method", IMA J. Math. Control. I., 33(2) (2016) 543-561. 29. Doha E. H., Bhrawy A. H., Baleanu D., Ezz-Eldien S. S., Hafez R. M., "An efficient numerical scheme based on the shifted orthonormal Jacobi polynomials for solving fractional optimal control problems", Adv. Differ. Equ., (2015), doi:10.1186/s13662-014-0344-z. 30. Bhrawy A. H., Doha E. H., Tenreiro Machado J. A., Ezz-Eldien S. S., "An efficient numerical scheme for solving multi-dimensional fractional optimal control problems with a quadratic performance index", Asian J. Control, 17(6) (2015) 2389-2402. 31. Ezz-Eldien S. S., Doha E. H., Baleanu D., Bhrawy A. H., "A numerical approach based on Legendre orthonormal polynomials for numerical solutions of fractional optimal control problems", J. Vib. Control, 23 (1) (2017) 16-30. 32. 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. 33. Keshavarz E., Ordokhani Y., Razzaghi M., "Bernoulli wavelet operational matrix of fractional order integration and its applications in solving the fractional order differential equations", Appl. Math. Model, 38 (24) (20014) 6038-6051. 34. 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. 35. Jamshidi M., Wang C. M., "A computational algorithm for large-scale nonlinear time-delay systems", IEEE Trans. Syst. Man Cybern, 14 (1984) 2-9. 36. Malek-Zavarei M., Jamshidi M., "Time Delay Systems: Analysis, Optimization and Applications (North-Holland Systems and Control Series)", Elsevier Science, New York, (1987). 37. Driver R. D., "Ordinary and Delay Differential Equations, Applied Mathematical Sciences", Springer, New York, (1977). 38. Witayakiattilerd W., "Optimal regulation of impulsive fractional differential equation with delay and application to nonlinear fractional heat equation", J. Math. Res., 5(2) (2013) 94-106. 39. Wang Q., Chen F., Huang F., "Maximum principle for optimal control problem of stochastic delay differential equations driven by fractional Brownian motions", Optim. Control Appl. Meth., 37(1) (2016) 90-107. 40. Jarad F., Abdeljawad T., Baleanu D., "Higher order fractional variational optimal control problems with delayed arguments", Appl. Math. Comput., 218 (2012) 9234-9240. 41. Safaie E., Farahi MH., Farmani Ardehaie M., "An approximate method for numerically solving multidimensional delay fractional optimal control problems by Bernstein polynomials", Comput. Appl. Math., 34 (3) (2015) 831-846. 42. Safaie E., Farahi MH., "An approximation method for numerical solution of multi-dimensional feedback delay fractional optimal control problems by Bernstein polynomials", Iran. J. Numer. Anal. Optim., 4 (2014) 77-94. 43. Bhrawy A. H., Ezz-Eldien S. S., "A new Legendre operational technique for delay fractional optimal control problems", Calcolo, 53 (4) (2016) 521-543. 44. Rahimkhani P., Ordokhani Y., Babolian E., "An efficient approximate method for solving delay fractional optimal control problems", Nonlinear Dyn., 86 (3) (2016) 1649-1661. 45. Mirzaee F., Hadadiyan E., "Numerical solution of linear Fredholm integral equations via two-dimensional modification of hat functions", Appl. Math. Comput., 250 (2015) 805-816. 46. Mirzaee F., Hadadiyan E., "Approximation solution of nonlinear Stratonovich Volterra integral equations by applying modification of hat functions", J. Comput. Appl. Math., 302 (2016) 272-284. 47. Mirzaee F., Hadadiyan E., "Numerical solution of Volterra-Fredholm integral equations via modification of hat functions", Appl. Math. Comput., 280 (2016) 110-123. 48. Mirzaee F., Hadadiyan E., "Solving system of linear Stratonovich Volterra integral equations via modification of hat functions", Appl. Math. Comput., 293 (2017) 254-264. 49. میرزائی فرشید، حدادیاننژاد یوسفی الهام، "استفاده از ماتریس عملیاتی برای حل عددی معادلات دیفرانسیل کسری"، پژوهشهای ریاضی، جلد 2، شماره 2، پاییز و زمستان 1395. 50. Podlubny I., "Fractional Differential Equations", Academic Press, San Diego, CA, (1999). 51. Devore R. A., Scott L. R., "Error bounds for Gaussian quadrature and weighted-L1 polynomial approximation", SIAM J. Numer. Anal, 21 (1984) 400-412. 52. Wang XT., "Numerical solutions of optimal control for time delay systems by hybrid of block-pulse functions and Legendre polynomials", Appl. Math. Comput. 184 (2007) 849-856. 53. Ghomanjani F., Farahi MH., Gachpazan M., "Optimal control of time-varying linear delay systems based on the Bezier curves", Comput., Appl. Math. 33(3) (2014) 687-715. 54. Haddadi N., Ordokhani Y., Razzaghi M., "Optimal control of delay systems by using a hybrid functions approximation", J. Optim. Theory Appl., 153 (2012) 338-356.