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Abstract and Applied Analysis
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Abstract and Applied Analysis
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On Integral Transforms and Matrix Functions

حول التحولات المتكاملة ووظائف المصفوفة
Authors: Hassan Eltayeb; Adem Kılıçman; Ravi P. Agarwal;

On Integral Transforms and Matrix Functions

Abstract

The Sumudu transform of certain elementary matrix functions is obtained. These transforms are then used to solve the differential equation of a general linear conservative vibration system, a vibrating system with a special type of viscous damping.

Country
Malaysia
Keywords

Sumudu transform, Composite material, Laplace transform, Integral transforms of special functions, Matrix (chemical analysis), Systems arising from the discretization of structural vibration problems, Modeling and Analysis of Functionally Graded Plates, Mathematical analysis, Vibration, Quantum mechanics, Mechanics and Fracture of Nanomaterials and Composites, Engineering, Differential equation, Transform methods (e.g., integral transforms) applied to PDEs, linear conservative vibration system, Dynamics and Control of Multibody Mechanical Systems, QA1-939, FOS: Mathematics, Biology, Ecology, Physics, Integral transform, Applied mathematics, Materials science, Aerospace engineering, Mechanics of Materials, Control and Systems Engineering, FOS: Biological sciences, Physical Sciences, elementary matrix functions, Vibration Analysis, Differential (mechanical device), Type (biology), Mathematics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
3
Average
Average
Average
gold