Some Results on the <i>q</i>-Calculus and Fractional <i>q</i>-Differential Equations

In this paper, we first discuss some important properties of fractional <i>q</i>-calculus. Then, based on these properties and the <i>q</i>-Laplace transform, we translate a class of fractional <i>q</i>-differential equations into the equivalent <i>q</i&g...

詳細記述

書誌詳細
出版年:Mathematics
主要な著者: Ying Sheng, Tie Zhang
フォーマット: 論文
言語:英語
出版事項: MDPI AG 2021-12-01
主題:
オンライン・アクセス:https://www.mdpi.com/2227-7390/10/1/64
その他の書誌記述
要約:In this paper, we first discuss some important properties of fractional <i>q</i>-calculus. Then, based on these properties and the <i>q</i>-Laplace transform, we translate a class of fractional <i>q</i>-differential equations into the equivalent <i>q</i>-differential equations with integer order. Thus, we propose a method for solving some linear fractional <i>q</i>-differential equations by means of solving the corresponding integer order equations. Several examples are provided to illustrate our solution method.
ISSN:2227-7390