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M.S. Alrazouk1 , M. Amer2
Section:Research Paper, Product Type: Journal
Vol.10 ,
Issue.3 , pp.7-10, Jun-2022
Online published on Jun 30, 2022
Copyright © M.S. Alrazouk, M. Amer . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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IEEE Style Citation: M.S. Alrazouk, M. Amer, “The Double Laplace-Stieltjes Transform and their Applications in solving Integral and partial Differential Equations,” International Journal of Scientific Research in Network Security and Communication, Vol.10, Issue.3, pp.7-10, 2022.
MLA Style Citation: M.S. Alrazouk, M. Amer "The Double Laplace-Stieltjes Transform and their Applications in solving Integral and partial Differential Equations." International Journal of Scientific Research in Network Security and Communication 10.3 (2022): 7-10.
APA Style Citation: M.S. Alrazouk, M. Amer, (2022). The Double Laplace-Stieltjes Transform and their Applications in solving Integral and partial Differential Equations. International Journal of Scientific Research in Network Security and Communication, 10(3), 7-10.
BibTex Style Citation:
@article{Alrazouk_2022,
author = {M.S. Alrazouk, M. Amer},
title = {The Double Laplace-Stieltjes Transform and their Applications in solving Integral and partial Differential Equations},
journal = {International Journal of Scientific Research in Network Security and Communication},
issue_date = {6 2022},
volume = {10},
Issue = {3},
month = {6},
year = {2022},
issn = {2347-2693},
pages = {7-10},
url = {https://www.isroset.org/journal/IJSRNSC/full_paper_view.php?paper_id=420},
publisher = {IJCSE, Indore, INDIA},
}
RIS Style Citation:
TY - JOUR
UR - https://www.isroset.org/journal/IJSRNSC/full_paper_view.php?paper_id=420
TI - The Double Laplace-Stieltjes Transform and their Applications in solving Integral and partial Differential Equations
T2 - International Journal of Scientific Research in Network Security and Communication
AU - M.S. Alrazouk, M. Amer
PY - 2022
DA - 2022/06/30
PB - IJCSE, Indore, INDIA
SP - 7-10
IS - 3
VL - 10
SN - 2347-2693
ER -
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Abstract :
Most phenomena in nature are represented using ordinary or partial differential equations which are easy to solve when combined with double integral transforms, Therefore, We find many previous studies talking about double integral transformations, the most famous of which is the double Laplace transform and the double Milline transform.
In our research, we present a new double transform of a special nature, which is the double Laplace-Stieltjes transform, where we are found the relationship between it and the double Laplace transform, in addition to proving some of its properties and applying them in finding solutions to partial Differential equations and Integral Equations.
Key-Words / Index Term :
Laplace-Stieltjes Transform, Double Laplace Transform, Double Riemann-Stieltjes Integral.
References :
[1] R. S. Dahiya and J. Saberi-Nadjafi, “Theorems on N - dimensional Laplace transforms and their applications”, 15th annual Conference of Applied Mathematics, Univ. of Central Oklahoma. Electronic Journal of Differential Equations, Conference 02, 61-74, 1999.
[2] L. Debnath, “The Double Laplace Transforms and Their properties with Applications to Functional, Integral and Partial Differential equations”, Int. J. Appl. Comput. Math, 2, pp. 223-241, 2016.
[3] D. Loonker, “Solution of Integral Equations and Laplace-Stieltjes Transform”, Palestine Journal of Mathematics, Vol. 5(1), pp.43-49, 2016.
[4] F. Moricz, “order of magnitude of double fourier coefficients of functions of bounder variation”, Analysis (Munchen) 22 pp. 335-345, 2002.
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