analytical treatment of fractional swift-hohenberg equation with uncertainty

In this article, we present the time-fractional swift-hohenberg equation (fsfe) with uncertainty where the fractional deriative is chossen in caputo sense. we have solved the fuzzy fsfe by homotopy analysis elzaki transform method (haetm) which is a collaboration of homotopy analysis method with elzaki transform.the proposed algorithm provides a fast convergence series solution. three dimensional plots of the solutions, error graphs and h-cut graphs are given to illustrate the efficacy of the method to solve fsfe.