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Solution of Three-Dimensional Mboctara Equation By Triple Laplace Transform
Subject area: Science,Engineering and Technology · Area of research: Applied Mathematics, Differential Equations
Abstract
In this paper, the definitions of triple Laplace transforms and inverse triple Laplace transforms are firstly presented. And then, the properties of triple Laplace transforms are described. In addition, triple Laplace transforms of some elementary functions are expressed. Moreover, the triple Laplace transforms of partial differential derivatives are calculated. Finally, triple Laplace transform is utilized to solve Mboctara partial differential equations.
Keywords
Triple Laplace Transform, Mboctara Equations
References
[1] Atangana, A., “A Note on the Triple Laplace Transform and Its Applications to Some Kind of Third-Order Differential Equation”, Abstract and Applied Analysis, Vol. 2013, pp. 1-10, 2013.
[2] Bhadane, P. R, Ghadle, K. P. and Adhe, A., “Applications of Triple Laplace Transformation to Volterra Integro Partial Differential Equation”, Turkish Journal of Computer and Mathematics Education, Vol. 12, pp. 3089- 3093, 2021.
[3] Debnath, L. and Bhatta, D., “Integral Transforms and Their Applications”, Third Edition, CRC Press, NewYork, 2015.
[4] Hiwarekar, A. P., “Triple Laplace Transforms and Its Properties”, Advances and Applications in Mathematical Sciences, Vol. 20, Issue 11, pp. 2843-2851, 2021.
[5] Mousa, A. and Tarig, E., “Solution of Volterra Integro-Differential Equations By Triple Laplace Transform”, Irish Interdisciplinary Journal of Science and Research, Vol. 3, Issue 4, pp. 67-72, 2019.
[6] Sedeeg, A. K. H., “Solution of Three- Dimensional Mboctara Equation via Triple Kamal Transform”, Elixir Applied Mathematics, Vol. 181, pp. 57002-57011, 2023.
[7] Thakur, A. K., Kumar, A. and Suryavanshi, H., “The Triple Laplace Transforms and Their Properties”, International Journal of Applied Mathematics Statistical Sciences, Vol. 7, Issue 4, pp. 33-44, 2018.
[8] Thakur, A. K. and Panda, S., “Some Properties of Triple Laplace Transforms”, Journal of Mathematics and Computer Applications Research, Vol. 2, Issue 1, pp. 23-28, 2023.
How to cite this paper
@article{1709837,
author = {Hsu Myat Moe, Khin Than Sint},
title = {Solution of Three-Dimensional Mboctara Equation By Triple Laplace Transform},
journal = {Iconic Research And Engineering Journals},
year = {2025},
volume = {9},
number = {1},
pages = {1407-1411},
issn = {2456-8880},
url = {https://www.irejournals.com/formatedpaper/1709837.pdf},
abstract = {In this paper, the definitions of triple Laplace transforms and inverse triple Laplace transforms are firstly presented. And then, the properties of triple Laplace transforms are described. In addition, triple Laplace transforms of some elementary functions are expressed. Moreover, the triple Laplace transforms of partial differential derivatives are calculated. Finally, triple Laplace transform is utilized to solve Mboctara partial differential equations.},
keywords = {Triple Laplace Transform, Mboctara Equations},
month = {July},
}