Batiha Iqbal M, El-Khazali Reyad, AlSaedi Ahmed, Momani Shaher
Department of Mathematics, Faculty of Science, University of Jordan, Amman 11942, Jordan.
ECCE Department, Khalifa University, Abu-Dhabi 127788, United Arab Emirates.
Entropy (Basel). 2018 May 23;20(6):400. doi: 10.3390/e20060400.
This paper introduces a general solution of singular fractional-order linear-time invariant (FoLTI) continuous systems using the Adomian Decomposition Method (ADM) based on the Caputo's definition of the fractional-order derivative. The complexity of their entropy lies in defining the complete solution of such systems, which depends on introducing a method of decomposing their dynamic states from their static states. The solution is formulated by converting the singular system of regular pencils into a recursive form using the sequence of transformations, which separates the dynamic variables from the algebraic variables. The main idea of this work is demonstrated via numerical examples.
本文基于分数阶导数的卡普托定义，采用阿多米安分解法（ADM）介绍了奇异分数阶线性时不变（FoLTI）连续系统的一般解。其熵的复杂性在于定义此类系统的完整解，这取决于引入一种将其动态状态与静态状态分解的方法。通过使用变换序列将正则铅笔的奇异系统转换为递归形式来制定解，该递归形式将动态变量与代数变量分离。通过数值示例展示了这项工作的主要思想。
