A New Approach for the Approximate Analytical Solution of Space-Time Fractional Differential Equations by the Homotopy Analysis Method. (6th May 2019)

• Record Type: Journal Article
• Authors: Demir, Ali; Bayrak, Mine Aylin; Ozbilge, Ebru
• Other Names: Macias-Diaz Jorge E. Academic Editor.
• Is Part Of: Advances in mathematical physics. Volume 2019(2019)
• Publication Date: 2019-05-06
• Subjects: Mathematical physics -- Periodicals; Mathematical physics; Periodicals; 530.15
• DOI: 10.1155/2019/5602565
• Languages: English
• ISSNs: 1687-9120

Abstract

Abstract : The motivation of this study is to construct the truncated solution of space-time fractional differential equations by the homotopy analysis method (HAM). The first space-time fractional differential equation is transformed into a space fractional differential equation or a time fractional differential equation before the HAM. Then the power series solution is constructed by the HAM. Finally, taking the illustrative examples into consideration we reach the conclusion that the HAM is applicable and powerful technique to construct the solution of space-time fractional differential equations.