论文标题
新的广义积分转换和应用
A new generalized integral transform and applications
论文作者
论文摘要
在这项工作中，我们引入了一种新的广义积分转换，涉及许多可能已知或新的转换为特殊情况。在这项工作中研究的新积分变换的基本属性包括存在定理，缩放属性，消除属于parseval型身份和反转公式。新转换与众所周知的转换的关系以整体身份为特征。新的转换用于解决某些初始边界值问题。给出了一些说明性的例子。这项工作中建立的结果扩展并概括了最近发布的结果。
In this work, we introduce a new generalized integral transform involving many potentially known or new transforms as special cases. Basic properties of the new integral transform, that investigated in this work, include the existence theorem, the scaling property, elimination property a Parseval-type identity, and inversion formula. The relationships of the new transform with well-known transforms are characterized by integral identities. The new transform is applied to solve certain initial boundary value problems. Some illustrative examples are given. The results established in this work extend and generalize recently published results.
