文章基本信息

标题：Study of composite fractional relaxation differential equation using fractional operators with and without singular kernels and special functions
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作者：Azhar Ali Zafar ; Jan Awrejcewicz ; Olga Mazur 等
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2021
卷号：2021
期号：1
页码：1
DOI：10.1186/s13662-021-03227-w
出版社：Hindawi Publishing Corporation
摘要：Our aim in this article is to solve the composite fractional relaxation differential equation by using different definitions of the non-integer order derivative operator $D_{t}^{ lpha }$ , more specifically we employ the definitions of Caputo, Caputo–Fabrizio and Atangana–Baleanu of non-integer order derivative operators. We apply the Laplace transform method to solve the problem and express our solutions in terms of Lorenzo and Hartley’s generalised G function. Furthermore, the effects of the parameters involved in the model are graphically highlighted.
关键词：58F15 ; 58F17 ; 53C35