Analytical solution of the time-fractional Phi-4 equation by using modified residual power series method

Marwan Alquran; H. M. Jaradat; Muhammed I. Syam

doi:10.1007/s11071-017-3820-7

Analytical solution of the time-fractional Phi-4 equation by using modified residual power series method

Marwan Alquran, H. M. Jaradat, Muhammed I. Syam

Department of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

59 Citations (Scopus)

Abstract

In this article, the solution of the time-fractional Phi-4 equation is investigated. We implement the residual power series method to approximate the solution of this equation. Numerical results are presented. In addition, the effects of the fractional order on the Phi-4 are discussed graphically.

Original language	English
Pages (from-to)	2525-2529
Number of pages	5
Journal	Nonlinear Dynamics
Volume	90
Issue number	4
DOIs	https://doi.org/10.1007/s11071-017-3820-7
Publication status	Published - Dec 1 2017

Keywords

Caputo derivative
RPS
Taylor series
Time-fractional Phi-4 equation

ASJC Scopus subject areas

Control and Systems Engineering
Aerospace Engineering
Ocean Engineering
Mechanical Engineering
Electrical and Electronic Engineering
Applied Mathematics

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10.1007/s11071-017-3820-7

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abstract = "In this article, the solution of the time-fractional Phi-4 equation is investigated. We implement the residual power series method to approximate the solution of this equation. Numerical results are presented. In addition, the effects of the fractional order on the Phi-4 are discussed graphically.",

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AU - Alquran, Marwan

AU - Jaradat, H. M.

AU - Syam, Muhammed I.

PY - 2017/12/1

Y1 - 2017/12/1

N2 - In this article, the solution of the time-fractional Phi-4 equation is investigated. We implement the residual power series method to approximate the solution of this equation. Numerical results are presented. In addition, the effects of the fractional order on the Phi-4 are discussed graphically.

AB - In this article, the solution of the time-fractional Phi-4 equation is investigated. We implement the residual power series method to approximate the solution of this equation. Numerical results are presented. In addition, the effects of the fractional order on the Phi-4 are discussed graphically.

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KW - RPS

KW - Taylor series

KW - Time-fractional Phi-4 equation

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Analytical solution of the time-fractional Phi-4 equation by using modified residual power series method

Abstract

Keywords

ASJC Scopus subject areas

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