In this paper, the optimal conditions for fractional optimal control problems (FOCPs) were derived in which the fractional differential operators defined in terms of Caputo sense and reduces this problem to a system of fractional differential equations (FDEs) that is called twopoint boundary value (TPBV) problem. An approximate solution of this problem is constructed by using the Legendre-Gauss collocation method such that the exact boundary conditions are satisfied. Several example are given and the optimal errors are obtained for the sake of comparison. The obtained results are shown that the technique introduced here is accurate and easily applied to solve the FOCPs.
Soradi Zeid, S., & Yousefi, M. (2017). A New Modification of Legendre-Gauss Collocation Method for Solving a Class of Fractional Optimal Control Problems. Journal of Mahani Mathematical Research, 6(2), 81-94. doi: 10.22103/jmmrc.2018.9861.1033
MLA
Samaneh Soradi Zeid; Mostafa Yousefi. "A New Modification of Legendre-Gauss Collocation Method for Solving a Class of Fractional Optimal Control Problems". Journal of Mahani Mathematical Research, 6, 2, 2017, 81-94. doi: 10.22103/jmmrc.2018.9861.1033
HARVARD
Soradi Zeid, S., Yousefi, M. (2017). 'A New Modification of Legendre-Gauss Collocation Method for Solving a Class of Fractional Optimal Control Problems', Journal of Mahani Mathematical Research, 6(2), pp. 81-94. doi: 10.22103/jmmrc.2018.9861.1033
VANCOUVER
Soradi Zeid, S., Yousefi, M. A New Modification of Legendre-Gauss Collocation Method for Solving a Class of Fractional Optimal Control Problems. Journal of Mahani Mathematical Research, 2017; 6(2): 81-94. doi: 10.22103/jmmrc.2018.9861.1033
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