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An indirect convergent Jacobi spectral collocation method for fractional optimal control problems.
- Source :
-
Mathematical Methods in the Applied Sciences . Mar2021, Vol. 44 Issue 4, p2806-2824. 19p. - Publication Year :
- 2021
-
Abstract
- In this paper, we present a novel indirect convergent Jacobi spectral collocation method for fractional optimal control problems governed by a dynamical system including both classical derivative and Caputo fractional derivative. First, we present some necessary optimality conditions. Then we suggest a new Jacobi spectral collocation method to discretize the obtained conditions. By the proposed method, we get a system of algebraic equations by solving of which we can approximate the optimal solution of the main problem. Finally, we present a convergence analysis for our method and solve three numerical examples to show the efficiency and capability of the method. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 01704214
- Volume :
- 44
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- Mathematical Methods in the Applied Sciences
- Publication Type :
- Academic Journal
- Accession number :
- 148363043
- Full Text :
- https://doi.org/10.1002/mma.5968