Abstract
In this study, we examine and using Laplace Transform as a way to find approximate solutions to multi-dimensional space and time fractional order problems and propose numerical algorithm for solving ([Formula: see text])-dimensional time and space fractional order heat like and time and space fractional wave-like equations. This method is a combination of Laplace Transform and iterative method. The fractional derivative is described in the Caputo sense. The results obtained by proposed scheme are compared with different other schemes. This scheme is found to be very efficient and effective for linear and nonlinear time and space fractional order problems.