Results 21 to 30 of about 144,664 (244)

Construction of Fractional Power Series Solutions to Fractional Boussinesq Equations Using Residual Power Series Method [PDF]

Mathematical Problems in Engineering, 2016
This paper is aimed at constructing fractional power series (FPS) solutions of time-space fractional Boussinesq equations using residual power series method (RPSM). Firstly we generalize the idea of RPSM to solve any-order time-space fractional differential equations in high-dimensional space with initial value problems inRn.
Xu, Fei, Gao, Yixian, Yang, Xue, Zhang, He   +3 more
openaire   +2 more sources

Residual Power Series Method for Solving Klein-Gordon Schrödinger Equation

Science Journal of University of Zakho, 2021
In this work, the   Residual Power Series Method(RPSM) is used to find the approximate solutions of Klein Gordon Schrödinger (KGS) Equation. Furthermore, to show the accuracy and the efficiency of the presented method, we compare the obtained approximate
Ssaad A. Manaa, Fadhil H. Easif, Jomaa J. Murad   +2 more
doaj   +1 more source

Extended Residual Power Series Algorithm for Boundary Value Problems

Mathematical Problems in Engineering, 2022
In this article, modification of the residual power series method (RPSM) is proposed for higher order boundary value problems (BVPs). The proposed algorithm is tested against various linear and nonlinear BVPs of orders nine up to thirteen. For the efficiency check of RPSM, obtained series solutions are compared with other available results in the ...
Mubashir Qayyum, Qursam Fatima, Muhammad Sohail, Essam R. El-Zahar, K. C. Gokul   +4 more
openaire   +1 more source

An Improved Version of Residual Power Series Method for Space-Time Fractional Problems [PDF]

Advances in Mathematical Physics, 2022
The task of present research is to establish an enhanced version of residual power series (RPS) technique for the approximate solutions of linear and nonlinear space-time fractional problems with Dirichlet boundary conditions by introducing new parameter λ .
Mine Aylin Bayrak, Ali Demir, Ebru Ozbilge   +2 more
openaire   +4 more sources

Computational Study for Fiber Bragg Gratings with Dispersive Reflectivity Using Fractional Derivative

Fractal and Fractional, 2023
In this paper, the new representations of optical wave solutions to fiber Bragg gratings with cubic–quartic dispersive reflectivity having the Kerr law of nonlinear refractive index structure are retrieved with high accuracy.
Hira Tariq, Ghazala Akram, Maasoomah Sadaf, Maria Iftikhar, Liliana Guran   +4 more
doaj   +1 more source

Residue fixed point index and wildly ramified power series

Journal of the London Mathematical Society, 2020
In this paper, we study power series having a fixed point of multiplier 1. First, we give a closed formula for the residue fixed point index, in terms of the first coefficients of the power series. Then, we use this formula to study wildly ramified power series in positive characteristic.
Nordqvist, Jonas, Rivera-Letelier, Juan
openaire   +5 more sources

Comparative Analysis of the Time-Fractional Black–Scholes Option Pricing Equations (BSOPE) by the Laplace Residual Power Series Method (LRPSM)

Journal of Mathematics, 2023
The residual power series method is effective for obtaining solutions to fractional-order differential equations. However, the procedure needs the n−1ϖ derivative of the residual function.
Muhammad Imran Liaqat, Eric Okyere
doaj   +1 more source

Series Representations for Uncertain Fractional IVPs in the Fuzzy Conformable Fractional Sense

Entropy, 2021
Fuzzy differential equations provide a crucial tool for modeling numerous phenomena and uncertainties that potentially arise in various applications across physics, applied sciences and engineering. Reliable and effective analytical methods are necessary
Malik Bataineh, Mohammad Alaroud, Shrideh Al-Omari, Praveen Agarwal   +3 more
doaj   +1 more source

Toward computational algorithm for time-fractional Fokker–Planck models

Advances in Mechanical Engineering, 2019
This article describes an efficient algorithm based on residual power series to approximate the solution of a class of partial differential equations of time-fractional Fokker–Planck model. The fractional derivative is assumed in the Caputo sense.
Asad Freihet, Shatha Hasan, Mohammad Alaroud, Mohammed Al-Smadi, Rokiah Rozita Ahmad, Ummul Khair Salma Din   +5 more
doaj   +1 more source

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