In this paper we present an extension of Fractional Laplace Transform in the framework non-conformable local fractional derivative. Its main properties are studied and it is applied to resolution differential equations.

Among the numerical inverse Laplace transformation (NILT) methods, those that belong to Abate-Whitt framework (AWF) are considered be most efficient ones currently. It is a characteristic feature of AWF NILT procedures they independent transform function and time point interest. In this work we propose an procedure goes beyond limitation optimize accuracy utilizing also

In this article, we have effectively used the Numerical Inversion of Laplace transform to study the time-dependent thin film flow of a second grade fluid flowing down an inclined plane through a porous medium. The solution to the governing equation is obtained by using the standard Laplace transform. However, to transform the obtained solutions from Laplace space back to the original space, we ...

We present an extension of the Analytic Discrete-Ordinates method to time-dependent transport in finite media. The application this technique is primarily accomplished through use a Laplace transform. In case media, system equations arises from enforcing boundary conditions. Instead directly solving system, we construct solution terms Neumann series. then show that can be neglected when numeric...