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...
Saved in:
Main Authors: | , , |
---|---|
Format: | Article |
Language: | English |
Published: |
Wiley
2014-01-01
|
Series: | Abstract and Applied Analysis |
Online Access: | http://dx.doi.org/10.1155/2014/213482 |
Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
_version_ | 1832562460661383168 |
---|---|
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 |
work_keys_str_mv | AT qazimahmoodulhassan anovelanalyticaltechniquetoobtainkinksolutionsforhigherordernonlinearfractionalevolutionequations AT jamshadahmad anovelanalyticaltechniquetoobtainkinksolutionsforhigherordernonlinearfractionalevolutionequations AT muhammadshakeel anovelanalyticaltechniquetoobtainkinksolutionsforhigherordernonlinearfractionalevolutionequations AT qazimahmoodulhassan novelanalyticaltechniquetoobtainkinksolutionsforhigherordernonlinearfractionalevolutionequations AT jamshadahmad novelanalyticaltechniquetoobtainkinksolutionsforhigherordernonlinearfractionalevolutionequations AT muhammadshakeel novelanalyticaltechniquetoobtainkinksolutionsforhigherordernonlinearfractionalevolutionequations |