<abstract xmlns="http://www.w3.org/1999/xhtml"><p>Conformable fractional complex transform is introduced in this paper for converting fractional partial differential equations to ordinary differential equations. Hence analytical methods in advanced calculus can be used to solve these equations. Conformable fractional complex transform is implemented to fractional partial differential equations such as space fractional advection diffusion equation and space fractional telegraph equation to obtain the exact solutions of these equations.</p></abstract>

Conformable fractional complex transform is introduced in this paper for converting fractional partial differential equations to ordinary differential equations. Hence analytical methods in advanced calculus can be used to solve these equations. Conformable fractional complex transform is implemented to fractional partial differential equations such as space fractional advection diffusion equation and space fractional telegraph equation to obtain the exact solutions of these equations.

New Fractional Complex Transform for Conformable Fractional Partial Differential Equations

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

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

Journal of Applied Mathematics, Statistics and Informatics

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Conformable fractional complex transform is introduced in this paper for converting fractional partial differential equations to ordinary differential...

New Fractional Complex Transform for Conformable Fractional Partial Differential Equations

Published Online: Dec 30, 2016

Page range: 41 - 47

DOI: https://doi.org/10.1515/jamsi-2016-0007

Keywords
Conformable derivative, conformable fractional complex transform, fractional telegraph equation, fractional advection diffusion equation

© 2016 Faculty of Natural Sciences, University of Saint Cyril and Metodius

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

New Fractional Complex Transform for Conformable Fractional Partial Differential Equations

Published Online: Dec 30, 2016

Page range: 41 - 47

DOI: https://doi.org/10.1515/jamsi-2016-0007

KeywordsConformable derivative, conformable fractional complex transform, fractional telegraph equation, fractional advection diffusion equation

© 2016 Faculty of Natural Sciences, University of Saint Cyril and Metodius

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
Conformable derivative, conformable fractional complex transform, fractional telegraph equation, fractional advection diffusion equation