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.

中文翻译：

---

涉及带一般解析核的组合分数算子的最优控制问题

介绍了通过具有一般解析核的广泛类别的分数运算符的分数最优控制问题。在证明了 Gronwall 型不等式以及扰动轨迹的连续性和可微性的结果后，获得了所考虑问题的 Pontryagin 型的必要优化条件。此外，证明了一般解析核分数最优控制问题的 Mangasarian 型充分全局最优性条件。讨论了一个说明性示例。