Abstract
In the present paper, we utilized fractional reduced differential transform method (FRDTM) to get the better optimal solution of space-time fractional order heat-like and wave-like partial differential equations (PDEs). One of the distinguishing practical features of this technique is its implementation on space-time fractional order linear and nonlinear PDEs without using discretization and linearization. The advantage of this method to other existing methods such as HAM, HPM etc. is that no prescribed assumptions are required, and the huge computational exertion is reduced and round-off errors are also evaded. To show the capability, usefulness and consistency of the proposed scheme, a few examples have been given to enlightening its efficiency, accuracy and simplicity. Hence, it is a powerful method for solving general space-time fractional order PDEs used in the field of engineering, physics and other disciplines.