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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Main Authors: Hassan Eltayeb, Imed Bachar, Musa Gad-Allah
Format: Article
Language:English
Published: SpringerOpen 2019-07-01
Series:Advances in Difference Equations
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13662-019-2230-1
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spelling 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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