Approximate solutions for fractional partial differential equations

Abstract EN

Fractional partial differential equations appear more and more frequently in various branches of science and engineering.

There is a growing need to find the solution of these equations.

However, most of these equations are difficult or impossible to solve analytically.

So, finding accurate and efficient numerical and approximate methods for solving partial differential equations of fractional order has become needed and active research undertaking.In the present paper, Modified of homotopy perturbation method proposed by He has been used to obtain the solution of some types of fractional partial differential equations with variable coefficients.

Exact and/or approximate analytical solutions of these equations are obtained.

The fractional derivative is taken in Caputo sense.

We make the tables to compare between the approximate solutions and the exact solutions for fractional partial differential equations.