Solution of singular one-dimensional Boussinesq equation by using double conformable Laplace decomposition method
Abstract In this study the method which was obtained from a combination of the conformable fractional double Laplace transform method and the Adomian decomposition method has been successfully applied to solve linear and nonlinear singular conformable fractional Boussinesq equations. Two examples ar...
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2019-07-01
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Online Access: | http://link.springer.com/article/10.1186/s13662-019-2230-1 |
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doaj-a9027b7db7ad4ff88a8321e5e4c8aab02020-11-25T03:02:55ZengSpringerOpenAdvances in Difference Equations1687-18472019-07-012019111910.1186/s13662-019-2230-1Solution of singular one-dimensional Boussinesq equation by using double conformable Laplace decomposition methodHassan Eltayeb0Imed Bachar1Musa Gad-Allah2Mathematics Department, College of Science, King Saud UniversityMathematics Department, College of Science, King Saud UniversityMathematics Department, College of Science, King Saud UniversityAbstract In this study the method which was obtained from a combination of the conformable fractional double Laplace transform method and the Adomian decomposition method has been successfully applied to solve linear and nonlinear singular conformable fractional Boussinesq equations. Two examples are given to illustrate our method. Furthermore, the results show that the proposed method is effective and is easy to use for certain problems in physics and engineering.http://link.springer.com/article/10.1186/s13662-019-2230-1Conformable single and double Laplace transformInverse double Laplace transformSingular conformable fractional Boussinesq equation |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Hassan Eltayeb Imed Bachar Musa Gad-Allah |
spellingShingle |
Hassan Eltayeb Imed Bachar Musa Gad-Allah Solution of singular one-dimensional Boussinesq equation by using double conformable Laplace decomposition method Advances in Difference Equations Conformable single and double Laplace transform Inverse double Laplace transform Singular conformable fractional Boussinesq equation |
author_facet |
Hassan Eltayeb Imed Bachar Musa Gad-Allah |
author_sort |
Hassan Eltayeb |
title |
Solution of singular one-dimensional Boussinesq equation by using double conformable Laplace decomposition method |
title_short |
Solution of singular one-dimensional Boussinesq equation by using double conformable Laplace decomposition method |
title_full |
Solution of singular one-dimensional Boussinesq equation by using double conformable Laplace decomposition method |
title_fullStr |
Solution of singular one-dimensional Boussinesq equation by using double conformable Laplace decomposition method |
title_full_unstemmed |
Solution of singular one-dimensional Boussinesq equation by using double conformable Laplace decomposition method |
title_sort |
solution of singular one-dimensional boussinesq equation by using double conformable laplace decomposition method |
publisher |
SpringerOpen |
series |
Advances in Difference Equations |
issn |
1687-1847 |
publishDate |
2019-07-01 |
description |
Abstract In this study the method which was obtained from a combination of the conformable fractional double Laplace transform method and the Adomian decomposition method has been successfully applied to solve linear and nonlinear singular conformable fractional Boussinesq equations. Two examples are given to illustrate our method. Furthermore, the results show that the proposed method is effective and is easy to use for certain problems in physics and engineering. |
topic |
Conformable single and double Laplace transform Inverse double Laplace transform Singular conformable fractional Boussinesq equation |
url |
http://link.springer.com/article/10.1186/s13662-019-2230-1 |
work_keys_str_mv |
AT hassaneltayeb solutionofsingularonedimensionalboussinesqequationbyusingdoubleconformablelaplacedecompositionmethod AT imedbachar solutionofsingularonedimensionalboussinesqequationbyusingdoubleconformablelaplacedecompositionmethod AT musagadallah solutionofsingularonedimensionalboussinesqequationbyusingdoubleconformablelaplacedecompositionmethod |
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