When a new extraordinary and outstanding theory is stated, it has to face criticism and skepticism, because it is beyond the usual concept. The fractional calculus though not new, was not discussed or developed for a long time, particularly for lack of its applications to real life problems. It is extraordinary because it does not deal with ‘ordinary’ differential calculus. It is outstanding because it can now be applied to situations where existing theories fail to give satisfactory results. In this book not only mathematical abstractions are discussed in a lucid manner, but also several practical applications are given particularly for system identification, description and then efficient controls.

当一个新的非同寻常的杰出理论被提出时，它必须面对批评和怀疑，因为它超出了通常的概念。分数微积分虽然不是新的，但在很长一段时间内没有被讨论或发展，特别是缺乏对现实生活问题的应用。它是不寻常的，因为它不涉及'普通'微分计算。它之所以杰出，是因为它现在可以应用于现有理论无法给出满意结果的情况。在这本书中，不仅以清晰的方式讨论了数学抽象概念，而且还给出了一些实际应用，特别是在系统识别、描述和有效控制方面。