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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Format: | Article |
Language: | English |
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Wiley
2018-01-01
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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 |
work_keys_str_mv | AT mohammadjibrankhan newiterativemethodforthesolutionoffractionaldampedburgerandfractionalsharmatassoolverequations AT rashidnawaz newiterativemethodforthesolutionoffractionaldampedburgerandfractionalsharmatassoolverequations AT samreenfarid newiterativemethodforthesolutionoffractionaldampedburgerandfractionalsharmatassoolverequations AT javediqbal newiterativemethodforthesolutionoffractionaldampedburgerandfractionalsharmatassoolverequations |