Fractional Complex Transform and exp-Function Methods for Fractional Differential Equations

Fractional Complex Transform and exp-Function Methods for Fractional Differential Equations

The exp-function method is presented for finding the exact solutions of nonlinear fractional equations. New solutions are constructed in fractional complex transform to convert fractional differential equations into ordinary differential equations. The fractional derivatives are described in Jumarie...

Full description

Bibliographic Details
Main Authors: Ahmet Bekir, Özkan Güner, Adem C. Cevikel
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/426462
id doaj-5a37b4812cce4a498b284b6beea9a91b
record_format Article
spelling doaj-5a37b4812cce4a498b284b6beea9a91b2020-11-24T22:16:18ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/426462426462Fractional Complex Transform and exp-Function Methods for Fractional Differential EquationsAhmet Bekir0Özkan Güner1Adem C. Cevikel2Eskisehir Osmangazi University, Art-Science Faculty, Department of Mathematics and Computer Science, 26480 Eskişehir, TurkeyDumlupınar University, School of Applied Sciences, Department of Management Information Systems, 43100 Kütahya, TurkeyYildiz Technical University, Education Faculty, Department of Mathematics Education, 34220 Istanbul, TurkeyThe exp-function method is presented for finding the exact solutions of nonlinear fractional equations. New solutions are constructed in fractional complex transform to convert fractional differential equations into ordinary differential equations. The fractional derivatives are described in Jumarie's modified Riemann-Liouville sense. We apply the exp-function method to both the nonlinear time and space fractional differential equations. As a result, some new exact solutions for them are successfully established.http://dx.doi.org/10.1155/2013/426462
collection DOAJ
language English
format Article
sources DOAJ
author Ahmet Bekir
Özkan Güner
Adem C. Cevikel
spellingShingle Ahmet Bekir
Özkan Güner
Adem C. Cevikel
Fractional Complex Transform and exp-Function Methods for Fractional Differential Equations
Abstract and Applied Analysis
author_facet Ahmet Bekir
Özkan Güner
Adem C. Cevikel
author_sort Ahmet Bekir
title Fractional Complex Transform and exp-Function Methods for Fractional Differential Equations
title_short Fractional Complex Transform and exp-Function Methods for Fractional Differential Equations
title_full Fractional Complex Transform and exp-Function Methods for Fractional Differential Equations
title_fullStr Fractional Complex Transform and exp-Function Methods for Fractional Differential Equations
title_full_unstemmed Fractional Complex Transform and exp-Function Methods for Fractional Differential Equations
title_sort fractional complex transform and exp-function methods for fractional differential equations
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2013-01-01
description The exp-function method is presented for finding the exact solutions of nonlinear fractional equations. New solutions are constructed in fractional complex transform to convert fractional differential equations into ordinary differential equations. The fractional derivatives are described in Jumarie's modified Riemann-Liouville sense. We apply the exp-function method to both the nonlinear time and space fractional differential equations. As a result, some new exact solutions for them are successfully established.
url http://dx.doi.org/10.1155/2013/426462
work_keys_str_mv AT ahmetbekir fractionalcomplextransformandexpfunctionmethodsforfractionaldifferentialequations
AT ozkanguner fractionalcomplextransformandexpfunctionmethodsforfractionaldifferentialequations
AT ademccevikel fractionalcomplextransformandexpfunctionmethodsforfractionaldifferentialequations
_version_ 1725790749580066816

Similar Items