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A note on the inverse Laplace transform

, 2018
In this note we show that the method for finding inverse Laplace transform without using integration on the complex plane can be used to find integral representations on the positive real axis for some functions. Furthermore, this inversion method allows
E. C. Grigoletto, E. C. Oliveira
semanticscholar   +1 more source

Nearest Neighbor Density Functional Estimation From Inverse Laplace Transform [PDF]

, 2022
Jongha Ryu, Shouvik Ganguly, Young-Han Kim, Yung‐Kyun Noh, Daniel D. Lee   +4 more
openalex   +1 more source

A new aftertreatment technique for the Mittag-Leffler function of a fractional nonlinear SIR-epidemic model

AIMS Mathematics
This paper introduced a new aftertreatment technique for solving a fractional nonlinear Susceptible-Infectious-Recovered (SIR)-epidemic model. The proposed approach reformulated the power series solution via incorporating the Laplace transform and its ...
Laila F. Seddek, Abdelhalim Ebaid, Essam R. El-Zahar, Mona D. Aljoufi   +3 more
doaj   +1 more source

Different Numerical Inversion Algorithms of the Laplace Transform for the Solution of the Advection-Diffusion Equation with Non-local Closure in Air Pollution Modeling

Trends in Computational and Applied Mathematics, 2018
In this paper, a three-dimensional solution of the steady-state advection-diffusion equation is obtained applying the Generalized Integral Advection Diffusion Multilayer Technique (GIADMT), considering non-local closure for turbulent flow. Two different
Camila Pinto da Costa, Karine Rui, Léslie Darien Pérez-Fernández   +2 more
doaj   +1 more source

On a fractional inverse source problem with mixed boundary conditions through a novel method

Electronic Research Archive
In this study, an inverse problem including the identification of a source function in a time-fractional diffusion equation with initial and mixed boundary conditions is investigated by employing the Laplace transform and the Daftardar-Gejji and Jafari ...
Suleyman Cetinkaya
doaj   +1 more source

A comparative study of Bagley–Torvik equation under nonsingular kernel derivatives using Weeks method

Open Physics
Modeling several physical events leads to the Bagley–Torvik equation (BTE). In this study, we have taken into account the BTE, including the Caputo–Fabrizio and Atangana–Baleanu derivatives. It becomes challenging to find the analytical solution to these
Kamran, Asif Muhammad, Mukheimer Aiman, Shah Kamal, Abdeljawad Thabet, Alotaibi Fahad M.   +5 more
doaj   +1 more source

Boundary value problem for the time-fractional wave equation

Қарағанды университетінің хабаршысы. Математика сериясы
In the article, the boundary value problem for the wave equation with a fractional time derivative and with initial conditions specified in the form of a fractional derivative in the Riemann-Liouville sense is solved.
М.Т. Космакова, А.Н. Хамзеева, Л.Ж. Касымова   +2 more
doaj   +1 more source

Associated transforms for solution of nonlinear equations

International Journal of Mathematics and Mathematical Sciences, 1991
Nonlinear multivariable differential or integrodifferential equations with terms of mixed dimensionality can be solved using multidimensional Laplace transform.
Joyati Debnath, Narayan C. Debnath
doaj   +1 more source

On the Approximation of Fractal-Fractional Differential Equations Using Numerical Inverse Laplace Transform Methods

Computer Modeling in Engineering & Sciences, 2023
Kamran, Siraj-ul-Islam Ahmad, K. Shah, T. Abdeljawad, Bahaaeldin Abdalla   +4 more
semanticscholar   +1 more source

Efficient Analysis of Electromagnetic Fields for Designing Nanoscale Antennas by Using a Boundary Integral Equation Method with Fast Inverse Laplace Transform

, 2014
In this paper, we investigate electromagnetic problems for nanoscale antennas by using a boundary integral equation method with fast inverse Laplace transform.
S. Kishimoto, T. Okada, S. Ohnuki, Y. Ashizawa, K. Nakagawa   +4 more
semanticscholar   +1 more source