# zbMATH — the first resource for mathematics

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 Documents Indexed: 24 Publications since 2001
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#### Co-Authors

 4 single-authored 13 Thompson, Gerard 4 Tatar, Nasser-eddine 3 Azad, Hassan 3 Mustafa, Muhammad Tahir 2 Al-Homidan, Suliman S. 2 Awotunde, Abeeb A. 2 Biswas, Indranil 2 Lamichhane, Manoj 1 Al-Dweik, Ahmad Y. 1 Ali, Sajid 1 Hindeleh, Firas 1 Malik, Nadeem A. 1 Miller, E. J. 1 Strugar, Igor 1 Tonon, Stefano
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#### Serials

 3 Journal of Mathematical Physics 3 Extracta Mathematicae 2 Communications in Nonlinear Science and Numerical Simulation 1 Classical and Quantum Gravity 1 Hadronic Journal 1 Journal of Geometry and Physics 1 International Journal of Mathematics and Mathematical Sciences 1 Tamkang Journal of Mathematics 1 Journal of Symbolic Computation 1 Journal of Physics A: Mathematical and General 1 Algebras, Groups and Geometries 1 Journal of Mathematical Sciences. University of Tokyo 1 Journal of Lie Theory 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Advances in Difference Equations 1 Boundary Value Problems 1 Arabian Journal of Mathematics 1 Journal of Mathematics 1 Cogent Mathematics & Statistics
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#### Fields

 11 Nonassociative rings and algebras (17-XX) 8 Topological groups, Lie groups (22-XX) 8 Differential geometry (53-XX) 6 Partial differential equations (35-XX) 4 Mechanics of particles and systems (70-XX) 2 Manifolds and cell complexes (57-XX) 2 Relativity and gravitational theory (83-XX) 1 Real functions (26-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Functional analysis (46-XX) 1 Computer science (68-XX) 1 Fluid mechanics (76-XX) 1 Quantum theory (81-XX) 1 Geophysics (86-XX)

#### Citations contained in zbMATH Open

18 Publications have been cited 70 times in 56 Documents Cited by Year
The holonomy Lie algebras of neutral metrics in dimension four. Zbl 1016.53039
2001
On computing joint invariants of vector fields. Zbl 1376.37050
Azad, H.; Biswas, I.; Ghanam, R.; Mustafa, M. T.
2015
Artificial boundary condition for a modified fractional diffusion problem. Zbl 06416638
Awotunde, Abeeb A.; Ghanam, Ryad A.; Tatar, Nasser-eddine
2015
Symmetry analysis of wave equation on static spherically symmetric spacetimes with higher symmetries. Zbl 1282.81089
2013
Minimal matrix representations of five-dimensional Lie algebras. Zbl 1366.17006
Ghanam, R.; Thompson, G.
2015
Variationality of four-dimensional Lie group connections. Zbl 1288.70011
Ghanam, R.; Thompson, G.; Miller, E. J.
2004
Matrix representations for low dimensional Lie algebras. Zbl 1146.22017
Ghanam, R.; Strugar, I.; Thompson, G.
2005
Minimal matrix representations of four-dimensional Lie algebras. Zbl 1276.17006
Ghanam, R.; Thompson, G.
2013
On a generalized diffusion equation arising in petroleum engineering. Zbl 1347.35197
Al-Homidan, Suliman; Ghanam, Ryad A.; Tatar, Nasser-Eddine
2013
Embedding algorithms and applications to differential equations. Zbl 1432.17002
2018
Two special metrics with $$R_{14}$$-type holonomy. Zbl 0982.83013
Ghanam, R.; Thompson, G.
2001
Representations for six-dimensional nilpotent Lie algebras. Zbl 1146.17304
Ghanam, R.; Thompson, G.; Tonon, S.
2006
Transparent boundary conditions for a diffusion problem modified by Hilfer derivative. Zbl 1331.35367
2014
Minimal matrix representations of decomposable Lie algebras of dimension less than or equal to five. Zbl 07046833
Ghanam, Ryad; Lamichhane, Manoj; Thompson, Gerard
2018
A note on the generalized neutral orthogonal group in dimension four. Zbl 1145.70008
2006
Bi-invariant and noninvariant metrics on Lie groups. Zbl 1152.81447
Ghanam, R.; Hindeleh, F.; Thompson, G.
2007
A note on bi-invariant metrics on Lie groups. Zbl 1107.53034
2005
Nonsolvable subalgebras of $$\mathfrak{gl}(4, \mathbb R)$$. Zbl 07037542
2016
Embedding algorithms and applications to differential equations. Zbl 1432.17002
2018
Minimal matrix representations of decomposable Lie algebras of dimension less than or equal to five. Zbl 07046833
Ghanam, Ryad; Lamichhane, Manoj; Thompson, Gerard
2018
Nonsolvable subalgebras of $$\mathfrak{gl}(4, \mathbb R)$$. Zbl 07037542
2016
On computing joint invariants of vector fields. Zbl 1376.37050
Azad, H.; Biswas, I.; Ghanam, R.; Mustafa, M. T.
2015
Artificial boundary condition for a modified fractional diffusion problem. Zbl 06416638
Awotunde, Abeeb A.; Ghanam, Ryad A.; Tatar, Nasser-eddine
2015
Minimal matrix representations of five-dimensional Lie algebras. Zbl 1366.17006
Ghanam, R.; Thompson, G.
2015
Transparent boundary conditions for a diffusion problem modified by Hilfer derivative. Zbl 1331.35367
2014
Symmetry analysis of wave equation on static spherically symmetric spacetimes with higher symmetries. Zbl 1282.81089
2013
Minimal matrix representations of four-dimensional Lie algebras. Zbl 1276.17006
Ghanam, R.; Thompson, G.
2013
On a generalized diffusion equation arising in petroleum engineering. Zbl 1347.35197
Al-Homidan, Suliman; Ghanam, Ryad A.; Tatar, Nasser-Eddine
2013
Bi-invariant and noninvariant metrics on Lie groups. Zbl 1152.81447
Ghanam, R.; Hindeleh, F.; Thompson, G.
2007
Representations for six-dimensional nilpotent Lie algebras. Zbl 1146.17304
Ghanam, R.; Thompson, G.; Tonon, S.
2006
A note on the generalized neutral orthogonal group in dimension four. Zbl 1145.70008
2006
Matrix representations for low dimensional Lie algebras. Zbl 1146.22017
Ghanam, R.; Strugar, I.; Thompson, G.
2005
A note on bi-invariant metrics on Lie groups. Zbl 1107.53034
2005
Variationality of four-dimensional Lie group connections. Zbl 1288.70011
Ghanam, R.; Thompson, G.; Miller, E. J.
2004
The holonomy Lie algebras of neutral metrics in dimension four. Zbl 1016.53039
2001
Two special metrics with $$R_{14}$$-type holonomy. Zbl 0982.83013
Ghanam, R.; Thompson, G.
2001
all top 5

#### Cited by 83 Authors

 7 Azad, Hassan 6 Ghanam, Ryad A. 6 Law, Peter R. 5 Mustafa, Muhammad Tahir 5 Thompson, Gerard 4 Zhang, Jiwei 3 Al-Dweik, Ahmad Y. 3 Ali, Sajid 3 Biswas, Indranil 3 Matsushita, Yasuo 3 Tomovski, Živorad 2 Bezvitnaya, Natalia I. 2 Ceballos, Manuel 2 Derdzinski, Andrzej 2 İşcan, Murat 2 Mahomed, Fazal M. 2 Mestdag, Tom 2 Núñez-Valdés, Juan 2 Özkan, Mustafa 2 Roter, Witold Kazimierz 2 Sandev, Trifce 2 Tenorio, Ángel F. 2 Zhang, Zhimin 1 Al-Omari, Shadi 1 Anaya, Khaleel 1 Awotunde, Abeeb A. 1 Bluman, George W. 1 Boubel, Charles 1 Bua, Lucía 1 Bucataru, Ioan 1 Calviño-Louzao, Esteban 1 Chang, AiLian 1 Crampin, Mike 1 Crnković, Bojan 1 Davidov, Johann T. 1 de Graaf, Willem Adriaan 1 Feroze, Tooba 1 Figula, Ágota 1 Finlay, Deshin 1 Galaev, Anton S. 1 García-Río, Eduardo 1 Garra, Roberto 1 Gorenflo, Rudolf 1 Hall, Graham S. 1 Haze, Seiya 1 Hervik, Sigbjørn 1 Jamil, Bismah 1 Karimjanov, Ikboljon Abdulazizovich 1 Khanal, Sunil 1 Kirik, Bahar 1 Ladra González, Manuel 1 Lamichhane, Manoj 1 Li, Dan 1 Li, Dongfang 1 Li, Hongwei 1 Málek, Tomáš 1 Manev, Hristo M. 1 Milkovszki, Tamás 1 Mrani-Zentar, Omar 1 Muzsnay, Zoltán 1 Özen Zengin, Füsun 1 Paliathanasis, Andronikos 1 Polito, Federico 1 Pravda, Vojtěch 1 Pravdová, Alena 1 Pu, Hai 1 Rawashdeh, Mahmoud Saleh 1 Rojas, Nadina Elizabeth 1 Salgado, Modesto R. 1 Sarlet, Willy 1 Saxena, Ram Kishore 1 Shah, Said Waqas 1 Subedi, Rishi Raj 1 Sun, Hongguang 1 Sun, Zhizhong 1 Tatar, Nasser-eddine 1 Tsamparlis, Michael 1 Vargas, Andrés F. 1 Vázquez Abal, María Elena 1 Vázquez-Lorenzo, Ramón 1 Wu, Xiaonan 1 Zaman, Fiazud Din 1 Zhang, Pu
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#### Cited in 42 Serials

 6 Journal of Geometry and Physics 3 Journal of Mathematical Physics 2 Applied Mathematics and Computation 2 Journal of Symbolic Computation 2 Differential Geometry and its Applications 2 Boundary Value Problems 2 East Asian Journal on Applied Mathematics 1 Classical and Quantum Gravity 1 Computers & Mathematics with Applications 1 Communications in Mathematical Physics 1 Journal of Computational Physics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Ukrainian Mathematical Journal 1 Annales Polonici Mathematici 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Computational and Applied Mathematics 1 Journal of Geometry 1 Journal of Pure and Applied Algebra 1 Monatshefte für Mathematik 1 Tohoku Mathematical Journal. Second Series 1 Annals of Global Analysis and Geometry 1 Bulletin of the Iranian Mathematical Society 1 International Journal of Mathematics 1 The Journal of Geometric Analysis 1 Journal of Mathematical Sciences (New York) 1 Journal of Lie Theory 1 Sbornik: Mathematics 1 Fractional Calculus & Applied Analysis 1 Communications in Nonlinear Science and Numerical Simulation 1 Journal of Nonlinear Mathematical Physics 1 Computational Methods in Applied Mathematics 1 Journal of Algebra and its Applications 1 International Journal of Geometric Methods in Modern Physics 1 Mediterranean Journal of Mathematics 1 European Journal of Pure and Applied Mathematics 1 Advances in Mathematical Physics 1 Journal of Geometric Mechanics 1 Symmetry 1 Arabian Journal of Mathematics 1 Journal of Mathematics 1 Mathematics 1 Cogent Mathematics & Statistics
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#### Cited in 20 Fields

 27 Differential geometry (53-XX) 14 Partial differential equations (35-XX) 12 Nonassociative rings and algebras (17-XX) 7 Relativity and gravitational theory (83-XX) 6 Numerical analysis (65-XX) 5 Topological groups, Lie groups (22-XX) 5 Ordinary differential equations (34-XX) 5 Mechanics of particles and systems (70-XX) 4 Dynamical systems and ergodic theory (37-XX) 3 Real functions (26-XX) 3 Computer science (68-XX) 2 Group theory and generalizations (20-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Associative rings and algebras (16-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Functional analysis (46-XX) 1 Manifolds and cell complexes (57-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of deformable solids (74-XX)