Results 21 to 30 of about 10,939 (140)

Numerical Solution of Advection–Diffusion Equation of Fractional Order Using Chebyshev Collocation Method

Fractal and Fractional, 2023
This work presents a highly accurate method for the numerical solution of the advection–diffusion equation of fractional order. In our proposed method, we apply the Laplace transform to handle the time-fractional derivative and utilize the Chebyshev ...
Farman Ali Shah, Kamran, Wadii Boulila, Anis Koubaa, Nabil Mlaiki   +4 more
doaj   +1 more source

Laplace transform pairs of N-dimensions

International Journal of Mathematics and Mathematical Sciences, 1985
In this paper I prove a theorem to obtain new n-dimensional Laplace transform pairs.
R. S. Dahiya
doaj   +1 more source

Analysis for pressure transient of coalbed methane reservoir based on Laplace transform finite difference method

Petroleum, 2015
Based on fractal geometry, fractal medium of coalbed methane mathematical model is established by Langmuir isotherm adsorption formula, Fick's diffusion law, Laplace transform formula, considering the well bore storage effect and skin effect. The Laplace
Lei Wang, Hongjun Yin, Xiaoshuang Yang, Chuncheng Yang, Jing Fu   +4 more
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

Numerical Approximation of Fractional-Order Volterra Integrodifferential Equation

Journal of Function Spaces, 2020
Laplace transform is a powerful tool for solving differential and integrodifferential equations in engineering sciences. The use of Laplace transform for the solution of differential or integrodifferential equations sometimes leads to the solutions in ...
Xiaoli Qiang, Kamran, Abid Mahboob, Yu-Ming Chu   +3 more
doaj   +1 more source

Numerical Solution of Fractional Order Anomalous Subdiffusion Problems Using Radial Kernels and Transform

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
doaj   +1 more source

On the Laplace-Type Transform and Its Applications

Axioms
Using the Laplace transform and the Gamma function, we obtain the Laplace-type transform, with the property of mapping a function to a functional sequence, which cannot be realized by the Laplace transform. In addition, we construct a backward difference
Slobodan B. Tričković, Miomir S. Stanković   +1 more
doaj   +1 more source

The Laplace Transform of Quantum Gravity

Universe, 2022
Following analogies with relativistic point particles and Schild strings, we show that the Einstein gravity and its strong coupling regime (or the Planck mass going to zero) are related to each other through a Laplace transform. The Feynman propagator of
Jorge Gamboa, Fernando Méndez, Natalia Tapia-Arellano   +2 more
doaj   +1 more source

Application of the inverse Laplace transform techniques to solve the generalized Bagley–Torvik equation including Caputo’s fractional derivative

Partial Differential Equations in Applied Mathematics
This 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, Kamran, Muhammad Asif, Salma Aljawi, Nabil Mlaiki   +4 more
doaj   +1 more source

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
doaj   +1 more source