On the generalized fractional Laplace transform

Abstract

In the present paper a generalization of the Laplace transform is introduced and studied. Its inversion formula is also obtained. As an application, we obtain the generalized fractional Laplace transform of a general class of functions and a product of the Fox’s H- function and general class of functions. The results obtained are of general nature and capable of yielding a large number of known or new results as special cases. For illustration, some special cases involving important special functions are mentioned.

Keywords

• laplace transform
• h-function
• struve’s function
• lommel’s function
• mittag-leffler functioin
• riemann-zeta function
• 44a10
• 44a20