The solutions of time and space conformable fractional heat equations with conformable Fourier transform

Çenesiz Y., Kurt A.

Acta Universitatis Sapientiae, Mathematica, vol.7, no.2, pp.130-140, 2015 (Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 7 Issue: 2
  • Publication Date: 2015
  • Doi Number: 10.1515/ausm-2015-0009
  • Journal Name: Acta Universitatis Sapientiae, Mathematica
  • Journal Indexes: Scopus
  • Page Numbers: pp.130-140
  • Keywords: Conformable Fourier transform, Conformable fractional derivative, Space fractional heat equation, Time fractional heat equation
  • Hatay Mustafa Kemal University Affiliated: Yes

Abstract

In this paper our aim is to find the solutions of time and space fractional heat differential equations by using new definition of fractional derivative called conformable fractional derivative. Also based on conformable fractional derivative definition conformable Fourier Transform is defined. Fourier sine and Fourier cosine transform definitions are given and space fractional heat equation is solved by conformable Fourier transform.