Efficient homotopy perturbation method for fractional non-linear equations using Sumudu transform
In this paper, we propose an efficient modification of the homotopy perturbation method for solving fractional non-linear equations with fractional initial conditions. Sumudu transform is adopted to simplify the solution process. An example is given to illustrate the solution process and...
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VINCA Institute of Nuclear Sciences
2015-01-01
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| Series: | Thermal Science |
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| Online Access: | http://www.doiserbia.nb.rs/img/doi/0354-9836/2015/0354-98361504167Z.pdf |
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doaj-68065eb762f04c26b9332152b59c2de22021-01-02T15:53:40ZengVINCA Institute of Nuclear SciencesThermal Science0354-98362334-71632015-01-011941167117110.2298/TSCI1504167Z0354-98361504167ZEfficient homotopy perturbation method for fractional non-linear equations using Sumudu transformZhang Ming-Feng0Liu Yan-Qin1Zhou Xiao-Shuang2Dezhou University, Department of Science and Technology, Dezhou, ChinaDezhou University, School of Mathematical Sciences, Dezhou, ChinaDezhou University, School of Mathematical Sciences, Dezhou, ChinaIn this paper, we propose an efficient modification of the homotopy perturbation method for solving fractional non-linear equations with fractional initial conditions. Sumudu transform is adopted to simplify the solution process. An example is given to illustrate the solution process and effectiveness of the method.http://www.doiserbia.nb.rs/img/doi/0354-9836/2015/0354-98361504167Z.pdfapproximate solutionhomotopy perturbation methodSumudu transformJumarie's modified R-L fractional derivative |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Zhang Ming-Feng Liu Yan-Qin Zhou Xiao-Shuang |
| spellingShingle |
Zhang Ming-Feng Liu Yan-Qin Zhou Xiao-Shuang Efficient homotopy perturbation method for fractional non-linear equations using Sumudu transform Thermal Science approximate solution homotopy perturbation method Sumudu transform Jumarie's modified R-L fractional derivative |
| author_facet |
Zhang Ming-Feng Liu Yan-Qin Zhou Xiao-Shuang |
| author_sort |
Zhang Ming-Feng |
| title |
Efficient homotopy perturbation method for fractional non-linear equations using Sumudu transform |
| title_short |
Efficient homotopy perturbation method for fractional non-linear equations using Sumudu transform |
| title_full |
Efficient homotopy perturbation method for fractional non-linear equations using Sumudu transform |
| title_fullStr |
Efficient homotopy perturbation method for fractional non-linear equations using Sumudu transform |
| title_full_unstemmed |
Efficient homotopy perturbation method for fractional non-linear equations using Sumudu transform |
| title_sort |
efficient homotopy perturbation method for fractional non-linear equations using sumudu transform |
| publisher |
VINCA Institute of Nuclear Sciences |
| series |
Thermal Science |
| issn |
0354-9836 2334-7163 |
| publishDate |
2015-01-01 |
| description |
In this paper, we propose an efficient modification of the homotopy
perturbation method for solving fractional non-linear equations with
fractional initial conditions. Sumudu transform is adopted to simplify the
solution process. An example is given to illustrate the solution process and
effectiveness of the method. |
| topic |
approximate solution homotopy perturbation method Sumudu transform Jumarie's modified R-L fractional derivative |
| url |
http://www.doiserbia.nb.rs/img/doi/0354-9836/2015/0354-98361504167Z.pdf |
| work_keys_str_mv |
AT zhangmingfeng efficienthomotopyperturbationmethodforfractionalnonlinearequationsusingsumudutransform AT liuyanqin efficienthomotopyperturbationmethodforfractionalnonlinearequationsusingsumudutransform AT zhouxiaoshuang efficienthomotopyperturbationmethodforfractionalnonlinearequationsusingsumudutransform |
| _version_ |
1724352383529517056 |