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Symmetry
Volume 16
Issue 8
10.3390/sym16081055
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Open AccessArticle
by Hassan Eltayeb Gadain SciProfiles Scilit Preprints.org Google Scholar Imed Bachar SciProfiles Scilit Preprints.org Google Scholar Said Mesloub SciProfiles Scilit Preprints.org Google Scholar 
Hassan Eltayeb Gadain
, Imed Bachar and Said Mesloub
Mathematics Department, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia
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Author to whom correspondence should be addressed.
Symmetry 2024, 16(8), 1055; https://doi.org/10.3390/sym16081055 (registeringDOI)
Submission received: 20 July 2024 / Revised: 3 August 2024 / Accepted: 6 August 2024 / Published: 15 August 2024
(This article belongs to the Special Issue Discussion of Properties and Applications of Integral Transform)
Abstract
The main aim of this article is to modify the space-time fractionalKdV equations using the Bessel operator. The triple Laplace transform decomposition method (TLTDM) is proposed to find the solution for a time-fractional singular KdV coupled system of equations. Three problems are discussed to check the accuracy and illustrate the effectiveness of this technique. The results imply that our method is very active and easy to utilize while analyzing the manner of nonlinear fractional differential equations appearing in the joint field of science and mathematics. Moreover, this method is fast convergent if we compare it with the existing techniques in the literature.
Keywords: double Laplace; triple Laplace transform; inverse triple Laplace transform; coupled KdV equation; decomposition methods
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MDPI and ACS Style
Gadain, H.E.; Bachar, I.; Mesloub, S. Application of the Triple Laplace Transform Decomposition Method for Solving Singular (2 1)-Dimensional Time-Fractional Coupled Korteweg–De Vries Equations (KdV)+. Symmetry 2024, 16, 1055. https://doi.org/10.3390/sym16081055
AMA Style
Gadain HE, Bachar I, Mesloub S. Application of the Triple Laplace Transform Decomposition Method for Solving Singular (2 1)-Dimensional Time-Fractional Coupled Korteweg–De Vries Equations (KdV)+. Symmetry. 2024; 16(8):1055. https://doi.org/10.3390/sym16081055
Chicago/Turabian Style
Gadain, Hassan Eltayeb, Imed Bachar, and Said Mesloub. 2024. "Application of the Triple Laplace Transform Decomposition Method for Solving Singular (2 1)-Dimensional Time-Fractional Coupled Korteweg–De Vries Equations (KdV)+" Symmetry 16, no. 8: 1055. https://doi.org/10.3390/sym16081055
Note that from the first issue of 2016, this journal uses article numbers instead of page numbers. See further details here.
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MDPI and ACS Style
Gadain, H.E.; Bachar, I.; Mesloub, S. Application of the Triple Laplace Transform Decomposition Method for Solving Singular (2 1)-Dimensional Time-Fractional Coupled Korteweg–De Vries Equations (KdV)+. Symmetry 2024, 16, 1055. https://doi.org/10.3390/sym16081055
AMA Style
Gadain HE, Bachar I, Mesloub S. Application of the Triple Laplace Transform Decomposition Method for Solving Singular (2 1)-Dimensional Time-Fractional Coupled Korteweg–De Vries Equations (KdV)+. Symmetry. 2024; 16(8):1055. https://doi.org/10.3390/sym16081055
Chicago/Turabian Style
Gadain, Hassan Eltayeb, Imed Bachar, and Said Mesloub. 2024. "Application of the Triple Laplace Transform Decomposition Method for Solving Singular (2 1)-Dimensional Time-Fractional Coupled Korteweg–De Vries Equations (KdV)+" Symmetry 16, no. 8: 1055. https://doi.org/10.3390/sym16081055
Note that from the first issue of 2016, this journal uses article numbers instead of page numbers. See further details here.
Symmetry, EISSN 2073-8994, Published by MDPI
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