A Computational Study of Fuzzy Fractional Sharma-Tasso-Olver Equation Via Analytical Method

Abstract

In this article, we obtain the numerical solution of the fuzzy form of the fractional Sharma-Tasso-Olver equation using the Homotopy Analysis Transform Method. This method combines two powerful and well-known methods: the Homotopy Analysis Method and the Laplace Transform Method. Two approximate solutions of the fuzzy fractional Sharma-Tasso-Olver equation are obtained using this approach. Comparisons are made between the results obtained by the proposed method and the exact solution available in the open literature. All the obtained numerical computations justify that the proposed method is highly reliable, simple, efficient, and effective for handling fuzzy fractional-order equations like the Sharma-Tasso-Olver equation.

Keywords: Laplace transform method; Caputo derivative; Homotopy analysis transform method; Fractional Sharma-Tasso-Olver equation.

2010 Mathematics Subject Classification. 26A33; 34A08; 34A34; 60G22