A SOLUTION METHOD FOR INTEGRO-DIFFERENTIAL EQUATIONS OF CONFORMABLE FRACTIONAL DERIVATIVE

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Bayram M., Hatipoğlu V. F., Alkan S., Daş S. E.

THERMAL SCIENCE, vol.22, 2018 (SCI-Expanded, Scopus)

  • Publication Type: Article / Article
  • Volume: 22
  • Publication Date: 2018
  • Doi Number: 10.2298/tsci170624266b
  • Journal Name: THERMAL SCIENCE
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Keywords: Sinc-collocation method, conformable fractional derivative, Volterra-Fredholm integro-differential equation
  • Open Archive Collection: AVESIS Open Access Collection
  • Yıldız Technical University Affiliated: Yes

Abstract

The aim of this work is to determine an approximate solution of a fractional order Volterra-Fredholm integro-differential equation using by the Sinc-collocation method. Conformable derivative is considered for the fractional derivatives. Some numerical examples having exact solutions are approximately solved. The comparisons of the exact and the approximate solutions of the examples are presented both in tables and graphical forms.