Some Results Related To The Triple Laplace Transform

In this paper, the new triple Laplace transform is defined and the main results and theorems on the new triple Laplace transform are investigated. Laplace transform has attracted many researchers in the last decades. The impact of this Laplace transform on both pure and applied branches of science and engineering have been increased. Many researchers started to approach with the discrete versions of this Laplace transform and fractional differential benefiting to get many aspects in the real life. The theory of fractional differential equations based on new triple Laplace transform is developed in this work. It is also a remarkable fact a large number of studies in the theory and application of fractional differential equations based on this new definition of derivative, which have been developed in a short time