Results 181 to 190 of about 9,271,467 (193)

Solving Fuzzy Non-homogeneous Wave Equations via Laplace Residual Power Series Approach

New Mathematics and Natural Computation
In this paper, we have applied a new method called Laplace Residual Power Series Method (LRPSM) introduced by Eriqate et al. for solving the fuzzy non-homogeneous wave equation. The algorithm gains powerful results for this kind of problem. Initially, we analyze in general the Laplace residual power series technique, and then we expand it and use it to
Aziz El Ghazouani, M'hamed Elomari
openaire   +1 more source

Solutions of nonlinear Murray equation for blood flow in vessels by Laplace-residual power series

Engineering Computations
Purpose This study aims to introduce a novel hybrid approach called the Laplace-Residual Power Series Method (L-RPSM) for solving fractional nonlinear problems, specifically the Murray differential equation. This method combines the Residual Power Series Method (RPSM) with the Laplace Transform (LT).
Khalid K. Ali, Mohamed S. Mohamed, M. Maneea, Monica Botros   +3 more
openaire   +1 more source

Employing the Laplace Residual Power Series Method to Solve (1+1)- and (2+1)-Dimensional Time-Fractional Nonlinear Differential Equations

Fractal and Fractional
In this paper, we present a highly efficient analytical method that combines the Laplace transform and the residual power series approach to approximate solutions of nonlinear time-fractional partial differential equations (PDEs).
Abdulqawi A. M. Rageh, Taha Radwan, Adel Hadhoud   +2 more
exaly   +2 more sources

Numerical analysis and stability of a fractional glucose–insulin regulatory system using the laplace residual power series method incorporating the Atangana–Baleanu derivative

International Journal of Modeling, Simulation, and Scientific Computing
This paper investigates the dynamics of a fractional-order glucose–insulin regulatory system using an enhanced Laplace residual power series method incorporating the Atangana–Baleanu derivative. The Atangana–Baleanu derivative, characterized by its nonlocal and nonsingular kernel, offers a more accurate representation of memory and hereditary effects ...
Sayed Saber, Safa M. Mirgani
openaire   +2 more sources

Constructing Analytical Solutions of the Fractional Riccati Differential Equations Using Laplace Residual Power Series Method

Fractal and Fractional, 2023
Rania Saadeh, Aliaa Burqan
exaly  

Laplace residual power series method to solve Fisher’s differential equation

AIP Conference Proceedings
Rajendra Pant, Geeta Arora
openaire   +1 more source

Laplace Residual Power Series Solutions of the Fractional Modified KdV System with Physical Applications

International Journal of Applied and Computational Mathematics
Moa’ath N. Oqielat, Tareq Eriqat, Zeyad Al-Zhour, Ahmad El-Ajou, Zaid Odibat   +4 more
openaire   +1 more source

Numerical Solution of Fractional-order One-dimensional Differential Equations by using Laplace Transform with the Residual Power Series Method

2023
Rajendra Pant, Geeta Arora, Manik Rakhra, Masoumeh Khademi   +3 more
openaire   +1 more source

Laplace Fractional Residual Power Series Scheme for Caputo Time-Schrodinger Fractional Equations

Progress in Fractional Differentiation and Applications
openaire   +1 more source

Approximate Solutions of the Fractional Zakharov-Kuznetsov Equation Using Laplace-Residual Power Series Method

Tareq Eriqat, Moa’ath N. Oqielat, Ahmad El-Ajou, Osama Ogilat, Shaher Momani   +4 more
openaire   +1 more source