Results 41 to 50 of about 22,341 (204)
Partial Differential Equations in Applied MathematicsThis article employs the Laplace transform approach to solve the Bagley–Torvik equation including Caputo’s fractional derivative. Laplace transform is a powerful method for enabling solving integer and non-integer order ODEs and PDEs in engineering and ...
Dania Santina +4 more
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On the generalized fractional Laplace transform
Moroccan Journal of Pure and Applied Analysis, 2021 In the present paper a generalization of the Laplace transform is introduced and studied. Its inversion formula is also obtained. As an application, we obtain the generalized fractional Laplace transform of a general class of functions and a product of ...
Kumar Virendra
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Applications of Fractional-Laplace Transformation in the Field of Electrical Engineering
Journal of Kufa for Mathematics and Computer, 2023 This study examines the various ways that fractional Laplace transform can be used to solve three different kinds of mathematical equations: the equation of analysis of electric circuits, simultaneous differential equations, and the heat conduction ...
Ali Moazzam +4 more
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The formal Laplace-Borel transform of Fliess operators and the composition product
International Journal of Mathematics and Mathematical Sciences, 2006 The formal Laplace-Borel transform of an analytic integral operator, known as a Fliess operator, is defined and developed. Then, in conjunction with the composition product over formal power series, the formal Laplace-Borel transform is shown to provide ...
Yaqin Li, W. Steven Gray
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An automatic control course without the Laplace transform. An operational point of view [PDF]
, 2008 The question is: Is the Laplace transform needed in an Automatic Control course? The answer is : Obviously, not! Based on an operational standpoint the first parts are about guidelines for a primer in automatic control.
Rotella, Frédéric, Zambettakis, Irène
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Deformable Laplace transform and its applications
Nonlinear Engineering, 2023 Recently, the deformable derivative and its properties have been introduced. In this work, we have investigated the concept of deformable Laplace transform (DLT) in more detail. Furthermore, some classical properties of the DLT are also included.
Ahuja Priyanka +3 more
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On the q-Laplace Transform and Related Special Functions
Axioms, 2016 Motivated by statistical mechanics contexts, we study the properties of the q-Laplace transform, which is an extension of the well-known Laplace transform. In many circumstances, the kernel function to evaluate certain integral forms has been studied. In
Shanoja R. Naik, Hans J. Haubold
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Transformada de Laplace: algumas aplicações [PDF]
, 2011 TCCP (especialização) - Universidade Federal de Santa Catarina. Programa de Pós-Graduação em Matemática.Equações que envolvem funções e suas derivadas são ditas diferenciais.
Pacheco, Antonio Luiz Schalata
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Application of Natural Generalized-Laplace Transform and Its Properties
MathematicsIn this work, we combine the Natural Transform and generalized-Laplace Transform into a new transform called, the Natural Generalized-Laplace Transform, (NGLT) and some of its properties are provided.
Hassan Eltayeb
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\(L_p\)-boundedness of the Laplace transform
CuboIn this paper, we discuss about the boundedness of the Laplace transform \(\mathcal{L}: L_p([0,\infty))\rightarrow L_p(A)\) (\(p\geq1\)) for the cases \(A=[0, \infty)\), \(A=[1, \infty)\) and \(A=[0, 1]\).
René Erlín Castillo +2 more
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