Results 21 to 30 of about 83,338 (291)
Using inverse Laplace transform in positronium lifetime imaging
Physics in Medicine and Biology, 2022 Positronium (Ps) lifetime imaging is gaining attention to bring out additional biomedical information from positron emission tomography (PET). The lifetime of Ps in vivo can change depending on the physical and chemical environments related to some ...
K. Shibuya +3 more
semanticscholar +1 more source
Application of the Efros Theorem to the Function Represented by the Inverse Laplace Transform of s-μ exp(-sν) [PDF]
Symmetry, 2020 Using a special case of the Efros theorem which was derived by Wlodarski, and operational calculus, it was possible to derive many infinite integrals, finite integrals and integral identities for the function represented by the inverse Laplace transform.
Alexander Apelblatt, F. Mainardi
semanticscholar +1 more source
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
doaj +1 more source
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
doaj +1 more source
Fractal and Fractional, 2021 Motivated from studies on anomalous relaxation and diffusion, we show that the memory function M(t) of complex materials, that their creep compliance follows a power law, J(t)∼tq with q∈R+, is proportional to the fractional derivative of the Dirac delta ...
N. Makris
semanticscholar +1 more source
A Semi-Analytical Solution of Inverse Laplace Transform
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
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source
, 2021 A novel computational technique is proposed for heat conduction analysis. The heat transfer equation is expanded in the complex frequency domain and solved using the finite difference method (FDM).
S. Kishimoto, Shohei Nishino, S. Ohnuki
semanticscholar +1 more source