A Novel Analytical Technique to Obtain Kink Solutions for Higher Order Nonlinear Fractional Evolution Equations

We use the fractional derivatives in Caputo’s sense to construct exact solutions to fractional fifth order nonlinear evolution equations. A generalized fractional complex transform is appropriately used to convert this equation to ordinary differential equation which subsequently resulted in a numbe...

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Main Authors: Qazi Mahmood Ul Hassan, Jamshad Ahmad, Muhammad Shakeel
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/213482
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author Qazi Mahmood Ul Hassan
Jamshad Ahmad
Muhammad Shakeel
author_facet Qazi Mahmood Ul Hassan
Jamshad Ahmad
Muhammad Shakeel
author_sort Qazi Mahmood Ul Hassan
collection DOAJ
description We use the fractional derivatives in Caputo’s sense to construct exact solutions to fractional fifth order nonlinear evolution equations. A generalized fractional complex transform is appropriately used to convert this equation to ordinary differential equation which subsequently resulted in a number of exact solutions.
format Article
id doaj-art-37f8b7f3e3f0433096e36c368a73f5ca
institution Kabale University
issn 1085-3375
1687-0409
language English
publishDate 2014-01-01
publisher Wiley
record_format Article
series Abstract and Applied Analysis
spelling doaj-art-37f8b7f3e3f0433096e36c368a73f5ca2025-02-03T01:22:30ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/213482213482A Novel Analytical Technique to Obtain Kink Solutions for Higher Order Nonlinear Fractional Evolution EquationsQazi Mahmood Ul Hassan0Jamshad Ahmad1Muhammad Shakeel2Department of Mathematics, Faculty of Sciences, HITEC University Taxila Cantt Pakistan,Taxila, PakistanDepartment of Mathematics, Faculty of Sciences, HITEC University Taxila Cantt Pakistan,Taxila, PakistanDepartment of Mathematics, Faculty of Sciences, HITEC University Taxila Cantt Pakistan,Taxila, PakistanWe use the fractional derivatives in Caputo’s sense to construct exact solutions to fractional fifth order nonlinear evolution equations. A generalized fractional complex transform is appropriately used to convert this equation to ordinary differential equation which subsequently resulted in a number of exact solutions.http://dx.doi.org/10.1155/2014/213482
spellingShingle Qazi Mahmood Ul Hassan
Jamshad Ahmad
Muhammad Shakeel
A Novel Analytical Technique to Obtain Kink Solutions for Higher Order Nonlinear Fractional Evolution Equations
Abstract and Applied Analysis
title A Novel Analytical Technique to Obtain Kink Solutions for Higher Order Nonlinear Fractional Evolution Equations
title_full A Novel Analytical Technique to Obtain Kink Solutions for Higher Order Nonlinear Fractional Evolution Equations
title_fullStr A Novel Analytical Technique to Obtain Kink Solutions for Higher Order Nonlinear Fractional Evolution Equations
title_full_unstemmed A Novel Analytical Technique to Obtain Kink Solutions for Higher Order Nonlinear Fractional Evolution Equations
title_short A Novel Analytical Technique to Obtain Kink Solutions for Higher Order Nonlinear Fractional Evolution Equations
title_sort novel analytical technique to obtain kink solutions for higher order nonlinear fractional evolution equations
url http://dx.doi.org/10.1155/2014/213482
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