Results 31 to 40 of about 10,939 (140)
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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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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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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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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Applications of New Double Integral Transform (Laplace–Sumudu Transform) in Mathematical Physics
Abstract and Applied Analysis, 2021 The primary purpose of this research is to demonstrate an efficient replacement of double transform called the double Laplace–Sumudu transform (DLST) and prove some related theorems of the new double transform.
Shams A. Ahmed
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Journal of Inequalities and Applications, 2018 By utilizing the concept of generalized order, we investigate the growth of Laplace–Stieltjes transform converging in the half plane and obtain one equivalence theorem concerning the generalized order of Laplace–Stieltjes transforms.
Hong Yan Xu, Hua Wang
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A modified Laplace transform for certain generalized fractional operators [PDF]
Results in Nonlinear Analysis, 2018 It is known that Laplace transform converges for functions of exponential order. In order to extend the possibility of working in a large class of functions, we present a modified Laplace transform that we call ρ-Laplace transform, study its properties
Fahd Jarad, Thabet Abdeljawad
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Laplace transform of fractional order differential equations
Electronic Journal of Differential Equations, 2015 In this article, we show that Laplace transform can be applied to fractional system. To this end, solutions of linear fractional-order equations are first derived by a direct method, without using Laplace transform.
Song Liang, Ranchao Wu, Liping Chen
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