Results 21 to 30 of about 9,271,467 (193)

Dynamical analysis of a nonlinear oscillator chain in the Peyrard–Bishop DNA model using residual power series and Laplace residual power series method [PDF]

Iranian Journal of Numerical Analysis and Optimization
In this study, we investigate the numerical exploration of the Peyrard–Bishop DNA (PBD) dynamic model. These solutions are responsible for analyzing the nonlinear interactions between the adjacent displacements of the DNA strand.
D. Priyadarsini, P.K. Sahu, M. Routaray
doaj   +3 more sources

Fractional Diffusion Equations Solved via Log–Laplace Residual Power Series

Wasit Journal for Pure Sciences
In this paper, fractional diffusion equations of Caputo-Hadamard presented as interesting classes of fractional differential equations have not studied before.
Ali Zeki, Sameer Qasim Hasan
doaj   +2 more sources

On the Laplace Residual Series Method and Its Application to Time-Fractional Fisher’s Equations

Fractal and Fractional
In this paper, we develop an analytical approximate solution for the nonlinear time-fractional Fisher’s equation using a right starting space function and a unique analytic-numeric technique referred to as the Laplace residual power series approach.
Rawya Al-deiakeh, Sharifah Alhazmi, Shrideh Al-Omari, Mohammed Al-Smadi, Shaher Momani   +4 more
doaj   +2 more sources

Fractional analysis of non-linear fuzzy partial differential equations by using a direct procedure [PDF]

Scientific Reports
In this study, an accurate analytical solution is presented for fuzzy FPDEs. It is done by using a novel method called the Laplace-residual power series (LRPSM) to build a series solution to the given problems. The fundamental instruments of the employed
Muhammad Arshad, Shahbaz Khan, Hassan Khan, Hamid Ali, Ijaz Ali   +4 more
doaj   +2 more sources

Efficient Computation of Laplace Residual Power Series with Explicit Coefficient Formulas [PDF]

arXiv admin note: text overlap with arXiv:2407 ...
Kittipoom, Pisamai
core   +4 more sources

Analytical Approximate Solutions of Caputo Fractional KdV-Burgers Equations Using Laplace Residual Power Series Technique

Journal of Applied Mathematics
The KdV-Burgers equation is one of the most important partial differential equations, established by Korteweg and de Vries to describe the behavior of nonlinear waves and many physical phenomena. In this paper, we reformulate this problem in the sense of
Aliaa Burqan, Mona Khandaqji, Zeyad Al-Zhour, Ahmad El-Ajou, Tasneem Alrahamneh   +4 more
doaj   +4 more sources

Solution Dynamics of the Time-Tempered Fractional Burgers-Like Equation via an Analytical Tempered Laplace Residual Power Series Method

Journal of Mathematics
This work discusses the time-tempered fractional Burgers’ equation in the context of Caputo tempered fractional derivative. This equation is crucial for modeling non-Newtonian fluid flow and long-memory phenomena that involves a time-tempering effect. In
Saleh Alshammari, M. Mossa Al-Sawalha, Mohammad Alshammari, Zainab Alsheekhhussain, Yousef Jawarneh, Mohammed Alabedalhadi   +5 more
doaj   +2 more sources

An approximate analytical solution of the time-fractional Navier–Stokes equations by the generalized Laplace residual power series method

Partial Differential Equations in Applied Mathematics
The dynamics of viscous fluids may be elucidated via the Navier–Stokes equations, which create a fundamental relationship between the exertion of external forces upon fluid motion and the resultant fluid pressure. This article examines the time-fractional Navier–Stokes equations by substituting the time derivative with the Katugampola fractional ...
P. Dunnimit, W. Sawangtong, P. Sawangtong   +2 more
exaly   +3 more sources

The fractional analysis of thermo-elasticity coupled systems with non-linear and singular nature [PDF]

Scientific Reports
It is mentioned that understanding linear and non-linear thermo-elasticity systems is important for understanding temperature, elasticity, stresses, and thermal conductivity.
Abdur Rab, Shahbaz Khan, Hassan Khan, Fairouz Tchier, Samaruddin Jebran, Ferdous Tawfiq, Muhammad Nadeem   +6 more
doaj   +2 more sources

Reliable solutions to fractional Lane-Emden equations via Laplace transform and residual error function

Alexandria Engineering Journal, 2022
In this paper, a reliable analytical solution for a class of the fractional Lane-Emden equations is prepared. A new technique, the Laplace-residual power series, is employed to construct a series solution to the equations.
Rania Saadeh, Aliaa Burqan, Ahmad El-Ajou   +2 more
doaj   +1 more source