New Fractional Complex Transform for Conformable Fractional Partial Differential Equations-Reference-Cited by-同舟云学术

New Fractional Complex Transform for Conformable Fractional Partial Differential Equations

Published:2016-12-01 Issue:2 Volume:12 Page:41-47
ISSN:1336-9180
Container-title:Journal of Applied Mathematics, Statistics and Informatics
language:en
Short-container-title:

Author:

Çenesiz Y.¹,Kurt A.²

Affiliation:

1. Department of Mathematics, Faculty of Science, Selçuk University, Konya, Turkey

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

Abstract

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.

Publisher

Walter de Gruyter GmbH

Subject

General Medicine

Reference16 articles.

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3. [3] K. Oldham and J. Spanier, The Fractional Calculus, Theory and Applications of Differentiation and Integration of Arbitrary Order, Academic Press (1974).

4. [4] K.S. Miller, B. Ross, An Introduction to the Fractional Calculus and Fractional Differential Equations, A Wiley-Interscience Publication (1993).

5. [5] A.A. Kilbas, H.M. Srivastava and J.J. Trujillo, Theory and Applications of Fractional Differential Equations, Elsevier (2006).

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