Application Of Β-Laplace Integral Transform

The β-Laplace Integral Transform is a new generalization of Laplace transform. This new β-Laplace Integral Transform is very interesting and has many special properties over Laplace transform.  In the current paper, we study the application of β-Laplace Integral Transform to solve Ordinary Differential Equations, Simultaneous Differential equations and Matrix differential system. Many applications and special cases of these differential equations are also discussed. The concluded results are more accurate and computable from standard results.