Results 31 to 40 of about 112,777 (261)

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

A Reliable Way to Deal with Fractional-Order Equations That Describe the Unsteady Flow of a Polytropic Gas

Mathematics, 2022
In this paper, fractional-order system gas dynamics equations are solved analytically using an appealing novel method known as the Laplace residual power series technique, which is based on the coupling of the residual power series approach with the ...
M. Mossa Al-Sawalha, Ravi P. Agarwal, Rasool Shah, Osama Y. Ababneh, Wajaree Weera   +4 more
doaj   +1 more source

New travelling wave analytic and residual power series solutions of conformable Caudrey–Dodd–Gibbon–Sawada–Kotera equation

Results in Physics, 2021
In this research article, a novel analytical and numerical solutions of the Caudrey–Dodd–Gibbon–Sawada–Kotera (CDGDK) equation are established by means of Tanh method and 4thorder residual power series method (RPSM).
Hira Tariq, Hijaz Ahmed, Hadi Rezazadeh, Shumaila Javeed, Khurram Saleem Alimgeer, Kamsing Nonlaopon, Jamel Baili, Khaled Mohamed Khedher   +7 more
doaj   +1 more source

Investigation of numerical solutions of fractional generalized regul long wave equations by least squares-residual power series method

, 2021
The least squares-residual power series method and the residual power series method are two effective methods used to investigate approximate solutions of fractional equations.
Khalil, Eied Mahmoud, Körpınar, Zeliha, Khalil, Eied M., İnç, Mustafa   +3 more
core   +1 more source

Fractional Series Solution Construction for Nonlinear Fractional Reaction-Diffusion Brusselator Model Utilizing Laplace Residual Power Series

, 2022
This article investigates different nonlinear systems of fractional partial differential equations analytically using an attractive modified method known as the Laplace residual power series technique. Based on a combination of the Laplace transformation
Kamsing Nonlaopon, Shaban Aly, Rasool Shah, Naveed Iqbal, Aisha Abdullah Alderremy   +4 more
core   +1 more source

Optimizing option pricing: Exact and approximate solutions for the time-fractional Ivancevic model

Alexandria Engineering Journal, 2023
This research investigates the time fractional Ivancevic option pricing model and presents two distinct solution methods: the invariant subspace method for obtaining exact solutions and the residual power series method for generating approximate ...
Khalid K. Ali, M.A. Maaty, M. Maneea
doaj   +1 more source

Residual power series method for time-fractional Schrödinger equations

Journal of Nonlinear Sciences and Applications, 2016
Summary: In this paper, the residual power series method (RPSM) is effectively applied to find the exact solutions of fractional-order time dependent Schrödinger equations. The competency of the method is examined by applying it to the several numerical examples.
Zhang, Yu, Kumar, Amit, Kumar, Sunil, Baleanu, Dumitru, Yang, Xiao-Jun   +4 more
openaire   +2 more sources

On Comparing Analytical and Numerical Solutions of Time Caputo Fractional Kawahara Equations via Some Techniques

Mathematics
One of the important techniques for solving several partial differential equations is the residual power series method, which provides the approximate solutions of differential equations in power series form.In this work, we use Aboodh transform in the ...
Faten H. Damag
doaj   +1 more source

Approximate Solution of Nonlinear Time-Fractional PDEs by Laplace Residual Power Series Method

Mathematics, 2022
Most physical phenomena are formulated in the form of non-linear fractional partial differential equations to better understand the complexity of these phenomena.
Hussam Aljarrah, Mohammad Alaroud, Anuar Ishak, Maslina Darus   +3 more
doaj   +1 more source

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

, 2022
In this article, a hybrid numerical technique combining the Laplace transform and residual power series method is used to construct a series solution of the nonlinear fractional Riccati differential equation in the sense of Caputo fractional derivative ...
Aliaa Burqan, Rania Saadeh, Aref Sarhan
core   +1 more source