An Approximate Solution of the Time-Fractional Fisher Equation with Small Delay by Residual Power Series Method

An Approximate Solution of the Time-Fractional Fisher Equation with Small Delay by Residual Power Series Method

An analytical solution of the time-fractional Fisher equation with small delay is established by means of residual the residual power series method (RPSM) where the fractional derivative is taken in the Caputo sense. Taking advantage of small delay, the time-fractional Fisher equation is expanded in...

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Main Authors: Ali Demir, Mine Aylin Bayrak, Ebru Ozbilge
Format: Article
Language:English
Published: Hindawi Limited 2018-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2018/9471910
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spelling doaj-9bb21d7cac7349f4807569b1c95f6e622020-11-24T22:09:09ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472018-01-01201810.1155/2018/94719109471910An Approximate Solution of the Time-Fractional Fisher Equation with Small Delay by Residual Power Series MethodAli Demir0Mine Aylin Bayrak1Ebru Ozbilge2Department of Mathematics, University of Kocaeli, Kocaeli, TurkeyDepartment of Mathematics, University of Kocaeli, Kocaeli, TurkeyAmerican University of the Middle East, Department of Mathematics and Statistics, Egaila, KuwaitAn analytical solution of the time-fractional Fisher equation with small delay is established by means of residual the residual power series method (RPSM) where the fractional derivative is taken in the Caputo sense. Taking advantage of small delay, the time-fractional Fisher equation is expanded in powers series of delay term ϵ. By using RPSM analytical solution of time-fractional of Fisher equation is constructed. The final results and graphical consequences illustrate that the proposed method in this study is very efficient, effective, and reliable for the solution of the time-fractional Fisher equation with small delay.http://dx.doi.org/10.1155/2018/9471910
collection DOAJ
language English
format Article
sources DOAJ
author Ali Demir
Mine Aylin Bayrak
Ebru Ozbilge
spellingShingle Ali Demir
Mine Aylin Bayrak
Ebru Ozbilge
An Approximate Solution of the Time-Fractional Fisher Equation with Small Delay by Residual Power Series Method
Mathematical Problems in Engineering
author_facet Ali Demir
Mine Aylin Bayrak
Ebru Ozbilge
author_sort Ali Demir
title An Approximate Solution of the Time-Fractional Fisher Equation with Small Delay by Residual Power Series Method
title_short An Approximate Solution of the Time-Fractional Fisher Equation with Small Delay by Residual Power Series Method
title_full An Approximate Solution of the Time-Fractional Fisher Equation with Small Delay by Residual Power Series Method
title_fullStr An Approximate Solution of the Time-Fractional Fisher Equation with Small Delay by Residual Power Series Method
title_full_unstemmed An Approximate Solution of the Time-Fractional Fisher Equation with Small Delay by Residual Power Series Method
title_sort approximate solution of the time-fractional fisher equation with small delay by residual power series method
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2018-01-01
description An analytical solution of the time-fractional Fisher equation with small delay is established by means of residual the residual power series method (RPSM) where the fractional derivative is taken in the Caputo sense. Taking advantage of small delay, the time-fractional Fisher equation is expanded in powers series of delay term ϵ. By using RPSM analytical solution of time-fractional of Fisher equation is constructed. The final results and graphical consequences illustrate that the proposed method in this study is very efficient, effective, and reliable for the solution of the time-fractional Fisher equation with small delay.
url http://dx.doi.org/10.1155/2018/9471910
work_keys_str_mv AT alidemir anapproximatesolutionofthetimefractionalfisherequationwithsmalldelaybyresidualpowerseriesmethod
AT mineaylinbayrak anapproximatesolutionofthetimefractionalfisherequationwithsmalldelaybyresidualpowerseriesmethod
AT ebruozbilge anapproximatesolutionofthetimefractionalfisherequationwithsmalldelaybyresidualpowerseriesmethod
AT alidemir approximatesolutionofthetimefractionalfisherequationwithsmalldelaybyresidualpowerseriesmethod
AT mineaylinbayrak approximatesolutionofthetimefractionalfisherequationwithsmalldelaybyresidualpowerseriesmethod
AT ebruozbilge approximatesolutionofthetimefractionalfisherequationwithsmalldelaybyresidualpowerseriesmethod
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