Optimal Control Problems Involving Combined Fractional Operators with General Analytic Kernels
Abstract
Fractional optimal control problems via a wide class of fractional operators with a general analytic kernel are introduced. Necessary optimality conditions of Pontryagin type for the considered problem are obtained after proving a Gronwall type inequality as well as results on continuity and differentiability of perturbed trajectories. Moreover, a Mangasarian type sufficient global optimality condition for the general analytic kernel fractional optimal control problem is proved. An illustrative example is discussed.
Cite
@article{arxiv.2109.10945,
title = {Optimal Control Problems Involving Combined Fractional Operators with General Analytic Kernels},
author = {Faical Ndairou and Delfim F. M. Torres},
journal= {arXiv preprint arXiv:2109.10945},
year = {2021}
}
Comments
This is a preprint of a paper whose final and definite form is published Open Access in 'Mathematics', at [https://doi.org/10.3390/math9192355]. Cite this paper as: F. Nda\"{\i}rou and D.F.M. Torres, Optimal control problems involving combined fractional operators with general analytic kernels, Mathematics 9 (2021), no. 19, Art. 2355, 17 pp