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

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Hatipoglu V. F., Alkan S., Seçer A.

ADVANCES IN DIFFERENCE EQUATIONS, 2017 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Publication Date: 2017
  • Doi Number: 10.1186/s13662-017-1260-9
  • Journal Name: ADVANCES IN DIFFERENCE EQUATIONS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Keywords: system of fractional differential equations, sinc-collocation method, Caputo derivative, DIFFUSION, GALERKIN
  • Yıldız Technical University Affiliated: Yes

Abstract

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.