点击次数：

影响因子：3.126

DOI码：10.1007/s13540-022-00062-y

发表刊物：Fractional Calculus and Applied Analysis

关键字：Delay · Fractional oscillation equation · Mittag-Leffler function · Laplace transform · Exact solution

摘要：In this paper we study the exact solutions of a class of fractional delay differential equations. We consider the fractional derivative of the order between 1 and 2 in the sense of Caputo. In the first part, we introduce two novel matrix functions, namely, the generalized cosine-type and sine-type delay Mittag-Leffler matrix functions. Then we obtain the explicit solutions for the linear homogeneous equations subjecting to corresponding initial conditions, by means of undetermined coefficients. In the second part, we first obtain a particular solution by means of the Laplace transform for the inhomogeneous equations with null initial conditions. Then we give an analytical representation of the general solution of the inhomogeneous equations through the sum of its particular solution and the general solution of the corresponding homogeneous equation.

论文类型：SCI一区TOP

学科门类：理学

一级学科：数学

文献类型：Research Atricle

是否译文：否

发表时间：2022-07-07

收录刊物：SCI

发布期刊链接：https://www.springer.com/journal/13540/