Two dimensional fractional Euler polynomials method for space-time fractional differential equations.

In this work, we discuss the Euler polynomial based approximation method to solve space-time fractional partial differential equations (PDE) in the Caputo's sense. Converting the PDE into an algebraic equation system is the main objective of this approach, which allows the traditional method to identify the unknowns, or connection coefficients. Error analysis and convergence criteria show how accurate and practical the approach is. The worth and efficiency of the recommended approach are demonstrated by a few examples. [ABSTRACT FROM AUTHOR]