This research introduces an approach that combines four different transforms such as Laplace transform, Sumudu transform, Aboodh transform and Elzaki transform to produce a quadruple transform. We state and apply the quadruple transform for several functions of four variables and went further to proof some fundamental properties and theorems. The existence analysis of the method and partial derivatives theorems were proven. Moreover, we examined how efficient and applicable the transform is by applying it to some integral equations and partial differential equations.
| Published in | American Journal of Applied Mathematics (Volume 13, Issue 5) |
| DOI | 10.11648/j.ajam.20251305.11 |
| Page(s) | 308-319 |
| Creative Commons |
This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited. |
| Copyright |
Copyright © The Author(s), 2025. Published by Science Publishing Group |
Partial Differential Equation, Integral Equation, Laplace Transform, Sumudu Transform, Elzaki Transform, Aboodh Transform
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APA Style
Stephen, O. A., Bakre, O. F., Emmanuel, A. E., Tolulope, K. M. (2025). Quadruple Laplace-Sumudu-Aboodh-Elzaki Transform and Its Applications. American Journal of Applied Mathematics, 13(5), 308-319. https://doi.org/10.11648/j.ajam.20251305.11
ACS Style
Stephen, O. A.; Bakre, O. F.; Emmanuel, A. E.; Tolulope, K. M. Quadruple Laplace-Sumudu-Aboodh-Elzaki Transform and Its Applications. Am. J. Appl. Math. 2025, 13(5), 308-319. doi: 10.11648/j.ajam.20251305.11
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Download@article{10.11648/j.ajam.20251305.11,
author = {Olaniyan Adegoke Stephen and Omolara Fatimah Bakre and Agbefe Emumena Emmanuel and Kazeem Moshood Tolulope},
title = {Quadruple Laplace-Sumudu-Aboodh-Elzaki Transform and Its Applications
},
journal = {American Journal of Applied Mathematics},
volume = {13},
number = {5},
pages = {308-319},
doi = {10.11648/j.ajam.20251305.11},
url = {https://doi.org/10.11648/j.ajam.20251305.11},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajam.20251305.11},
abstract = {This research introduces an approach that combines four different transforms such as Laplace transform, Sumudu transform, Aboodh transform and Elzaki transform to produce a quadruple transform. We state and apply the quadruple transform for several functions of four variables and went further to proof some fundamental properties and theorems. The existence analysis of the method and partial derivatives theorems were proven. Moreover, we examined how efficient and applicable the transform is by applying it to some integral equations and partial differential equations.
},
year = {2025}
}
TY - JOUR T1 - Quadruple Laplace-Sumudu-Aboodh-Elzaki Transform and Its Applications AU - Olaniyan Adegoke Stephen AU - Omolara Fatimah Bakre AU - Agbefe Emumena Emmanuel AU - Kazeem Moshood Tolulope Y1 - 2025/09/05 PY - 2025 N1 - https://doi.org/10.11648/j.ajam.20251305.11 DO - 10.11648/j.ajam.20251305.11 T2 - American Journal of Applied Mathematics JF - American Journal of Applied Mathematics JO - American Journal of Applied Mathematics SP - 308 EP - 319 PB - Science Publishing Group SN - 2330-006X UR - https://doi.org/10.11648/j.ajam.20251305.11 AB - This research introduces an approach that combines four different transforms such as Laplace transform, Sumudu transform, Aboodh transform and Elzaki transform to produce a quadruple transform. We state and apply the quadruple transform for several functions of four variables and went further to proof some fundamental properties and theorems. The existence analysis of the method and partial derivatives theorems were proven. Moreover, we examined how efficient and applicable the transform is by applying it to some integral equations and partial differential equations. VL - 13 IS - 5 ER -
Department of Mathematics, Lagos State University, Lagos, Nigeria
Department of Mathematics & Statistics, Federal College of Education(Technical), Akoka, Lagos, Nigeria
Department of Mathematics, Lagos State University, Lagos, Nigeria
Department of Mathematics, Lagos State University, Lagos, Nigeria
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