Laplace Transform; Quaternion Skew Field; Octonion Algebra; Cayley-Dickson Algebra; Partial Differential Equation; Non-Commutative Integration - Articles

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 8,181 Downloads 14,901 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 4,829 Downloads 7,081 Views Citations
Powers of Octonions (Articles)

W. E. Ahmed

Applied Mathematics Vol.12 No.2，February 10, 2021

DOI: 10.4236/am.2021.122006 526 Downloads 1,548 Views Citations
Split-Tetraquaternion Algebra and Applications (Articles)

Grégoire Lutanda Panga

Journal of Applied Mathematics and Physics Vol.12 No.7，July 31, 2024

DOI: 10.4236/jamp.2024.127159 72 Downloads 281 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 6,248 Downloads 8,274 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 492 Downloads 1,390 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 299 Downloads 1,659 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 7,349 Downloads 13,306 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 5,647 Downloads 6,828 Views Citations
Indeterminate Forms (Articles)

Dagnachew Jenber

Advances in Pure Mathematics Vol.6 No.8，July 25, 2016

DOI: 10.4236/apm.2016.68043 2,179 Downloads 3,967 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 1,710 Downloads 4,177 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 4,897 Downloads 6,760 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 4,545 Downloads 6,505 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 5,822 Downloads 8,513 Views Citations
Discussion on the Homology Theory of Lie Algebras (Articles)

Lilong Kang, Yu Wang, Caiyu Du

Journal of Applied Mathematics and Physics Vol.12 No.7，July 12, 2024

DOI: 10.4236/jamp.2024.127141 57 Downloads 290 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 892 Downloads 4,481 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 4,199 Downloads 7,714 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 3,348 Downloads 5,375 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 128 Downloads 673 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 111 Downloads 588 Views Citations

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