New Iterative Method for the Solution of Fractional Damped Burger and Fractional Sharma-Tasso-Olver Equations

The new iterative method has been used to obtain the approximate solutions of time fractional damped Burger and time fractional Sharma-Tasso-Olver equations. Results obtained by the proposed method for different fractional-order derivatives are compared with those obtained by the fractional reduced...

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Main Authors: Mohammad Jibran Khan, Rashid Nawaz, Samreen Farid, Javed Iqbal
Format: Article
Language:English
Published: Wiley 2018-01-01
Series:Complexity
Online Access:http://dx.doi.org/10.1155/2018/3249720
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author Mohammad Jibran Khan
Rashid Nawaz
Samreen Farid
Javed Iqbal
author_facet Mohammad Jibran Khan
Rashid Nawaz
Samreen Farid
Javed Iqbal
author_sort Mohammad Jibran Khan
collection DOAJ
description The new iterative method has been used to obtain the approximate solutions of time fractional damped Burger and time fractional Sharma-Tasso-Olver equations. Results obtained by the proposed method for different fractional-order derivatives are compared with those obtained by the fractional reduced differential transform method (FRDTM). The 2nd-order approximate solutions by the new iterative method are in good agreement with the exact solution as compared to the 5th-order solution by the FRDTM.
format Article
id doaj-art-31062e9893c0416b9835f47297ed2fbb
institution Kabale University
issn 1076-2787
1099-0526
language English
publishDate 2018-01-01
publisher Wiley
record_format Article
series Complexity
spelling doaj-art-31062e9893c0416b9835f47297ed2fbb2025-02-03T06:06:20ZengWileyComplexity1076-27871099-05262018-01-01201810.1155/2018/32497203249720New Iterative Method for the Solution of Fractional Damped Burger and Fractional Sharma-Tasso-Olver EquationsMohammad Jibran Khan0Rashid Nawaz1Samreen Farid2Javed Iqbal3Department of Computer and IT, Sarhad University of Science and Information Technology, Peshawar, PakistanDepartment of Mathematics, Abdul Wali Khan University Mardan, Khyber Pakhtunkhwa, PakistanDepartment of Mathematics, Abdul Wali Khan University Mardan, Khyber Pakhtunkhwa, PakistanDepartment of Mathematics, Abdul Wali Khan University Mardan, Khyber Pakhtunkhwa, PakistanThe new iterative method has been used to obtain the approximate solutions of time fractional damped Burger and time fractional Sharma-Tasso-Olver equations. Results obtained by the proposed method for different fractional-order derivatives are compared with those obtained by the fractional reduced differential transform method (FRDTM). The 2nd-order approximate solutions by the new iterative method are in good agreement with the exact solution as compared to the 5th-order solution by the FRDTM.http://dx.doi.org/10.1155/2018/3249720
spellingShingle Mohammad Jibran Khan
Rashid Nawaz
Samreen Farid
Javed Iqbal
New Iterative Method for the Solution of Fractional Damped Burger and Fractional Sharma-Tasso-Olver Equations
Complexity
title New Iterative Method for the Solution of Fractional Damped Burger and Fractional Sharma-Tasso-Olver Equations
title_full New Iterative Method for the Solution of Fractional Damped Burger and Fractional Sharma-Tasso-Olver Equations
title_fullStr New Iterative Method for the Solution of Fractional Damped Burger and Fractional Sharma-Tasso-Olver Equations
title_full_unstemmed New Iterative Method for the Solution of Fractional Damped Burger and Fractional Sharma-Tasso-Olver Equations
title_short New Iterative Method for the Solution of Fractional Damped Burger and Fractional Sharma-Tasso-Olver Equations
title_sort new iterative method for the solution of fractional damped burger and fractional sharma tasso olver equations
url http://dx.doi.org/10.1155/2018/3249720
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AT rashidnawaz newiterativemethodforthesolutionoffractionaldampedburgerandfractionalsharmatassoolverequations
AT samreenfarid newiterativemethodforthesolutionoffractionaldampedburgerandfractionalsharmatassoolverequations
AT javediqbal newiterativemethodforthesolutionoffractionaldampedburgerandfractionalsharmatassoolverequations