<abstract xmlns="http://www.w3.org/1999/xhtml"><p> 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.</p></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.

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

Department of Mathematics, Faculty of Science, Selçuk University, Turkey

Department of Mathematics, Faculty of Science and Art, Mustafa Kemal University, Turkey

Acta Universitatis Sapientiae, Mathematica

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

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...

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

Published Online: Feb 09, 2016

Page range: 130 - 140

Received: May 12, 2015

DOI: https://doi.org/10.1515/ausm-2015-0009

Keywords
time fractional heat equation, space fractional heat equation, conformable fractional derivative, conformable Fourier transform

© 2016

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

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

Published Online: Feb 09, 2016

Page range: 130 - 140

Received: May 12, 2015

DOI: https://doi.org/10.1515/ausm-2015-0009

Keywordstime fractional heat equation, space fractional heat equation, conformable fractional derivative, conformable Fourier transform

© 2016

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
time fractional heat equation, space fractional heat equation, conformable fractional derivative, conformable Fourier transform