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A Semi-Analytical Solution of Inverse Laplace Transform [PDF]
Journal of Mathematics, 2022 We propose a general method for constructing the semi-analytical solution of the inverse Laplace transform, realized through the powerful exponential approximation invented by Wang et al. in 1993.
Shuang Luo, Fu-yao Zhao
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Stabilization of the inverse Laplace transform of multiexponential decay through introduction of a second dimension [PDF]
J Magn Reson, 2013 Hasan Celik +4 more
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Molecules, 2022 The general expression is derived for the Laplace transform of the time-dependent transient electrophoretic mobility (with respect to time) of a spherical colloidal particle when a step electric field is applied.
Hiroyuki Ohshima
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Existence and Uniqueness Study of the Conformable Laplace Transform
Journal of Mathematics, 2022 This paper tackles the topic of conformable Laplace transform. The authors aim at discussing its existence by exploring and providing the kind of functions that possess a conformable Laplace transform.
Jihad Younis +4 more
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Analysis of Particulate Systems with Numerical Inverse Laplace Transform [PDF]
Journal of Applied and Computational Mechanics, 2023 The technique of numerical inversion of the Laplace transform is applied to solve the population balance equation (PBE). The model considers the dispersed phase systems in which nucleation and heterogeneous condensation are present. The studied phenomena
Clauderino Batista +4 more
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Unique identification of fractional orders in the fractional mobile–immobile solute transport system
Applied Mathematics in Science and Engineering, 2023 This article deals with a fractional mobile–immobile solute transport system in porous media and an inverse problem of identifying the fractional orders by the additional measurements at one interior point.
Gongsheng Li +3 more
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Fractal and Fractional, 2021 We shall discuss three methods of inverse Laplace transforms. A Sinc-Thiele approximation, a pure Sinc, and a Sinc-Gaussian based method. The two last Sinc related methods are exact methods of inverse Laplace transforms which allow us a numerical ...
Gerd Baumann
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Journal of Mathematics, 2021 By coupling of radial kernels and localized Laplace transform, a numerical scheme for the approximation of time fractional anomalous subdiffusion problems is presented.
Muhammad Taufiq, Marjan Uddin
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A general quantum Laplace transform
Advances in Difference Equations, 2020 In this paper, we introduce a general quantum Laplace transform L β $\mathcal{L}_{\beta }$ and some of its properties associated with the general quantum difference operator D β f ( t ) = ( f ( β ( t ) ) − f ( t ) ) / ( β ( t ) − t ) ${D}_{\beta }f(t)= ({
Enas M. Shehata +2 more
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Modified Sumudu Transform and Its Properties
Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2021 Saif et al. (J. Math. Comput. Sci. 21 (2020) 127-135) considered modified Laplace transform and developed some of their certain properties and relations.
Uğur Duran
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