A new numerical method for variable order fractional functional differential equations. (June 2017)

• Record Type: Journal Article
• Authors: Li, Xiuying; Li, Haixia; Wu, Boying
• Is Part Of: Applied mathematics letters. Volume 68(2017:Jun.)
• Page Start: 80
• Page End: 86
• Publication Date: 2017-06
• Subjects: Reproducing kernel method -- Fractional order -- Variable order -- Initial value problem; Applied mathematics -- Periodicals; 519.05
• DOI: 10.1016/j.aml.2017.01.001
• Languages: English
• ISSNs: 0893-9659

Abstract

Abstract: In this letter, a high order numerical scheme is proposed for solving variable order fractional functional differential equations. Firstly, the problem is approximated by an integer order functional differential equation. The integer order differential equation is then solved by the reproducing kernel method. Numerical examples are given to demonstrate the theoretical analysis and verify the efficiency of the proposed method.