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Multidimensional Laplace Transforms over Quaternions, Octonions and Cayley-Dickson Algebras, Their Applications to PDE
(Articles)
Sergey Victor Ludkovsky
Advances in Pure Mathematics
Vol.2 No.2
,March 22, 2012
DOI:
10.4236/apm.2012.22013
8,042
Downloads
15,213
Views
Citations
Meta-Invariant Operators over Cayley-Dickson Algebras and Spectra
(Articles)
S. V. Ludkovsky
Advances in Pure Mathematics
Vol.3 No.1
,January 29, 2013
DOI:
10.4236/apm.2013.31008
4,762
Downloads
7,084
Views
Citations
Powers of Octonions
(Articles)
W. E. Ahmed
Applied Mathematics
Vol.12 No.2
,February 10, 2021
DOI:
10.4236/am.2021.122006
456
Downloads
1,469
Views
Citations
A Computational Quadruple Laplace Transform for the Solution of Partial Differential Equations
(Articles)
Hamood Ur Rehman
,
Muzammal Iftikhar
,
Shoaib Saleem
,
Muhammad Younis
,
Abdul Mueed
Applied Mathematics
Vol.5 No.21
,December 5, 2014
DOI:
10.4236/am.2014.521314
6,168
Downloads
8,805
Views
Citations
Laplace Decomposition Method for the System of Non Linear PDEs
(Articles)
S. S. Handibag
Open Access Library Journal
Vol.6 No.12
,December 26, 2019
DOI:
10.4236/oalib.1105954
420
Downloads
1,314
Views
Citations
Clifford Algebra and Hypercomplex Number as well as Their Applications in Physics
(Articles)
Yingqiu Gu
Journal of Applied Mathematics and Physics
Vol.10 No.4
,April 29, 2022
DOI:
10.4236/jamp.2022.104097
249
Downloads
1,473
Views
Citations
A Comparative Study of Variational Iteration Method and He-Laplace Method
(Articles)
Hradyesh Kumar Mishra
Applied Mathematics
Vol.3 No.10
,October 12, 2012
DOI:
10.4236/am.2012.310174
7,228
Downloads
13,516
Views
Citations
A Comparative Study of Adomain Decompostion Method and He-Laplace Method
(Articles)
Badradeen A. A. Adam
Applied Mathematics
Vol.5 No.21
,December 1, 2014
DOI:
10.4236/am.2014.521312
5,585
Downloads
6,847
Views
Citations
Indeterminate Forms
(Articles)
Dagnachew Jenber
Advances in Pure Mathematics
Vol.6 No.8
,July 25, 2016
DOI:
10.4236/apm.2016.68043
2,122
Downloads
3,909
Views
Citations
Comparison between the Laplace Decomposition Method and Adomian Decomposition in Time-Space Fractional Nonlinear Fractional Differential Equations
(Articles)
Mohamed Z. Mohamed
,
Tarig M. Elzaki
Applied Mathematics
Vol.9 No.4
,April 30, 2018
DOI:
10.4236/am.2018.94032
1,626
Downloads
4,253
Views
Citations
Solution of Differential Equations with the Aid of an Analytic Continuation of Laplace Transform
(Articles)
Tohru Morita
,
Ken-ichi Sato
Applied Mathematics
Vol.5 No.8
,May 8, 2014
DOI:
10.4236/am.2014.58115
4,774
Downloads
6,639
Views
Citations
Algebras of Hamieh and Abbas Used in the Dirac Equation
(Articles)
Gregory Peter Wene
Journal of Modern Physics
Vol.3 No.9
,September 24, 2012
DOI:
10.4236/jmp.2012.39120
4,502
Downloads
6,435
Views
Citations
Spectrum of Signals on the Quaternion Fourier Transform Domain
(Articles)
Guicheng Yang
,
Yingxiong Fu
Journal of Applied Mathematics and Physics
Vol.1 No.4
,November 6, 2013
DOI:
10.4236/jamp.2013.14007
5,725
Downloads
8,448
Views
Citations
Laplace Transform, Non-Constant Coefficients Differential Equations and Applications to Riccati Equation
(Articles)
Malick Ndiaye
Applied Mathematics
Vol.11 No.7
,July 22, 2020
DOI:
10.4236/am.2020.117043
797
Downloads
4,303
Views
Citations
Existence the Solutions of Some Fifth-Order Kdv Equation by Laplace Decomposition Method
(Articles)
Sujit Handibag
,
B. D. Karande
American Journal of Computational Mathematics
Vol.3 No.1
,March 29, 2013
DOI:
10.4236/ajcm.2013.31013
4,079
Downloads
7,639
Views
Citations
Valuation of European Call Options via the Fast Fourier Transform and the Improved Mellin Transform
(Articles)
Sunday Emmanuel Fadugba
,
Chuma Raphael Nwozo
Journal of Mathematical Finance
Vol.6 No.2
,May 31, 2016
DOI:
10.4236/jmf.2016.62028
3,291
Downloads
5,305
Views
Citations
The Jaffa Transform for Hessian Matrix Systems and the Laplace Equation
(Articles)
Daniel A. Jaffa
Journal of Applied Mathematics and Physics
Vol.12 No.1
,January 26, 2024
DOI:
10.4236/jamp.2024.121010
77
Downloads
493
Views
Citations
Mathematical Aspects of
SU
(2) and
SO
(3,R) Derived from Two-Mode Realization in Coordinate-Invariant Form
(Articles)
Alfred Wünsche
Journal of Modern Physics
Vol.14 No.3
,February 28, 2023
DOI:
10.4236/jmp.2023.143022
80
Downloads
404
Views
Citations
Two Dimensional Representation of the Dirac Equation in Non-Associative Algebra
(Articles)
Salah Hamieh
,
Hassan Abbas
Journal of Modern Physics
Vol.3 No.2
,February 29, 2012
DOI:
10.4236/jmp.2012.32025
6,621
Downloads
11,159
Views
Citations
The Literature Review of Algebra Learning: Focusing on the Contributions to Students’ Difficulties
(Articles)
Xiong Wang
Creative Education
Vol.6 No.2
,February 9, 2015
DOI:
10.4236/ce.2015.62013
17,531
Downloads
29,694
Views
Citations
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