A solution method for integro-differential equations of conformable fractional derivative

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BAYRAM M., Hatipoglu V. F., Alkan S., DAŞ S. E.

Thermal Science, vol.22, 2018 (SCI-Expanded) identifier

  • 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: Conformable fractional derivative, Sinc-collocation method, Volterra-Fredholm integro-differential equation
  • Istanbul Gelisim University Affiliated: Yes

Abstract

© 2018 Society of Thermal Engineers of Serbia.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.