A new integral transform on time scales and its applications

作者：Agwa Hassan Ahmed; Ali Fatma Mohamed; Kilicman Adem^*

来源：Advances in Difference Equations, 2012, 1-14.

DOI：10.1186/1687-1847-2012-60

• Sumudu transform
• time scales
• dynamic equation

Integral transform methods are widely used to solve the several dynamic equations with initial values or boundary conditions which are represented by integral equations. With this purpose, the Sumudu transform is introduced in this article as a new integral transform on a time scale to solve a system of dynamic equations. The Sumudu transform on time scale has not been presented before. The results in this article not only can be applied on ordinary differential equations when , difference equations when , but also, can be applied for q-difference equations when , where or for q %26gt; 1 (which has important applications in quantum theory) and on different types of time scales like , and the space of the harmonic numbers. Finally, we give some applications to illustrate our main results. %26lt;br%26gt;2010 Mathematics Subject Classification. 44A85; 35G15; 44A35.

• 出版日期2012