Results 1 to 10 of about 156,678 (207)

Elzaki residual power series method to solve fractional diffusion equation. [PDF]

PLoS ONE
The time-fractional order differential equations are used in many different contexts to analyse the integrated scientific phenomenon. Hence these equations are the point of interest of the researchers.
Rajendra Pant, Geeta Arora, Homan Emadifar   +2 more
doaj   +3 more sources

Exact and Approximate Solutions for Linear and Nonlinear Partial Differential Equations via Laplace Residual Power Series Method

Axioms, 2023
The Laplace residual power series method was introduced as an effective technique for finding exact and approximate series solutions to various kinds of differential equations.
Haneen Khresat, Ahmad El-Ajou, Shrideh Al-Omari, Sharifah E. Alhazmi, Moa’ath N. Oqielat   +4 more
doaj   +3 more sources

Application of Laplace residual power series method for approximate solutions of fractional IVP’s

Alexandria Engineering Journal, 2022
In this study, different systems of linear and non-linear fractional initial value problems are solved analytically utilizing an attractive novel technique so-called the Laplace residual power series approach, and which is based on the coupling of the ...
Mohammad Alaroud
doaj   +3 more sources

ARA-residual power series method for solving partial fractional differential equations

Alexandria Engineering Journal, 2023
In this article a new approach in solving time fractional partial differential equations (TFPDEs) is introduced, that is, the ARA-residual power series method.
Aliaa Burqan, Rania Saadeh, Ahmad Qazza, Shaher Momani   +3 more
doaj   +3 more sources

Residual power series algorithm for fractional cancer tumor models

Alexandria Engineering Journal, 2020
In this paper, the new series solutions of some fractional cancer tumor models are investigated by using residual power series method (RPSM). The RPSM is explained with Maclaurin expansion for the solution.
Zeliha Korpinar, Mustafa Inc, Evren Hınçal, Dumitru Baleanu   +3 more
doaj   +3 more sources

Efficient Solution of Fractional System Partial Differential Equations Using Laplace Residual Power Series Method

Fractal and Fractional, 2023
In this paper, we present an efficient solution method for solving fractional system partial differential equations (FSPDEs) using the Laplace residual power series (LRPS) method.
Ahmad Shafee, Yousuf Alkhezi, Rasool Shah   +2 more
doaj   +3 more sources

A new iterative algorithm on the time-fractional Fisher equation: Residual power series method

Advances in Mechanical Engineering, 2017
In this article, the residual power series method is used to solve time-fractional Fisher equation. The residual power series method gets Maclaurin expansion of the solution.
Maysaa’ Mohamed Al Qurashi, Zeliha Korpinar, Dumitru Baleanu, Mustafa Inc   +3 more
doaj   +2 more sources

Residual power series method for fractional Burger types equations

Nonlinear Engineering, 2016
We present an analytic algorithm to solve the generalized Berger-Fisher (B-F) equation, B-F equation, generalized Fisher equation and Fisher equation by using residual power series method (RPSM), which is based on the generalized Taylor’s series formula ...
Kumar Amit, Kumar Sunil
doaj   +2 more sources

Analytical treatment of the fractional Zakharov–Kuznetsov equation via the generalized integral residual power series method [PDF]

Scientific Reports
This study presents a generalized integral residual power series method (GIRPSM) for finding semi-analytical solutions to the nonlinear fractional Zakharov–Kuznetsov equation (FZKE).
Samy A. Abdelhafeez, Anas A. M. Arafa, Yousef H. Zahran, Moutaz Ramadan, Ibrahim S. I. Osman   +4 more
doaj   +2 more sources

Solutions of the time fractional reaction–diffusion equations with residual power series method

Advances in Mechanical Engineering, 2016
In this article, the residual power series method for solving nonlinear time fractional reaction–diffusion equations is introduced. Residual power series algorithm gets Maclaurin expansion of the solution.
Fairouz Tchier, Mustafa Inc, Zeliha S Korpinar, Dumitru Baleanu   +3 more
doaj   +2 more sources