Solution of nonlinear fractional boundary value problems with nonhomogeneous boundary conditions

ALKAN S., SEÇER A.

Applied and Computational Mathematics, vol.14, no.3, pp.284-295, 2015 (SCI-Expanded, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 14 Issue: 3
  • Publication Date: 2015
  • Journal Name: Applied and Computational Mathematics
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.284-295
  • Keywords: Caputo derivative, Nonhomogeneous boundary conditions, Nonlinear boundary value problems, Sinc-collocation method
  • Hatay Mustafa Kemal University Affiliated: Yes

Abstract

In this paper, as an original contribution to literature, sinc-collocation method is firstly presented to solve the nonlinear fractional boundary value problem with nonhomogeneous conditions. Obtained results are given as two new theorems. To illustrate the efficiency and robustness of the introduced method some numerical examples are presented.