An efficient scheme for solving a system of fractional differential equations with boundary conditions

Advances in Difference Equations

Sertan Alkan¹  Veysel Fuat Hatipoglu²  Aydin Secer³ 

[1] Iskenderun Technical University, Hatay, Turkey;Mugla Sitki Kocman University, Mugla, Turkey;Yildiz Technical University, Istanbul, Turkey

关键词: system of fractional differential equations;    sinc-collocation method;    Caputo derivative;   

DOI  :  10.1186/s13662-017-1260-9

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this study, the sinc collocation method is used to find an approximate solution of a system of differential equations of fractional order described in the Caputo sense. Some theorems are presented to prove the applicability of the proposed method to the system of fractional order differential equations. Some numerical examples are given to test the performance of the method. Approximate solutions are compared with exact solutions by examples. Some graphs and tables are presented to show the performance of the proposed method.

【 授权许可】

CC BY