This paper presents the algorithms for solving the inverse problems on models with the fractional derivative. The presented algorithm is based on the Real Ant Colony Optimization algorithm. In this paper, the examples of the algorithm application for the inverse heat conduction problem on the model with the fractional derivative of the Caputo type is also presented. Based on those examples, the authors are comparing the proposed algorithm with the iteration method presented in the paper: Zhang, Z. An undetermined coefficient problem for a fractional diffusion equation. Inverse Probl. 2016, 32.

中文翻译：

---

概率蚁群优化算法和迭代法在求解带有Caputo型分数导数的模型反问题中的应用比较

本文介绍了求解具有分数阶导数的模型的逆问题的算法。所提出的算法基于真实蚁群优化算法。在本文中，还给出了在具有 Caputo 型分数阶导数的模型上逆向热传导问题的算法应用实例。基于这些示例，作者将所提出的算法与论文中提出的迭代方法进行了比较：Zhang, Z. An undetermined coefficient problem for afractionaldiffusion equation。反向问题 2016 年，32。