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A New Iterative Algorithm on the Time-Fractional Fisher Equation: Residual Power Series Method

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Date

2017

Journal Title

Journal ISSN

Volume Title

Publisher

Sage Publications Ltd

Open Access Color

GOLD

Green Open Access

Yes

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No
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Top 10%
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Top 10%
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Top 10%

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Abstract

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. The solutions of present equation are computed in the shape of quickly convergent series with quickly calculable fundamentals using mathematica software package. Explanation of the method is given by graphical consequences and series solutions are made use of to represent our solution. The found consequences show that technique is a power and efficient method in conviction of solution time-fractional Fisher equation.

Description

Korpinar, Zeliha/0000-0001-6658-131X

Keywords

Residual Power Series Method, Time-Fractional Fisher Equation, Series Solution, Residual power series method, Mathematical analysis, Quantum mechanics, Convergence Analysis of Iterative Methods for Nonlinear Equations, Health Sciences, TJ1-1570, FOS: Mathematics, Series (stratigraphy), Taylor series, Mechanical engineering and machinery, Biology, Anomalous Diffusion Modeling and Analysis, Numerical Analysis, Time-Fractional Diffusion Equation, Physics, Mathematical optimization, Public Health, Environmental and Occupational Health, Paleontology, time-fractional Fisher equation, Power series, Power (physics), Applied mathematics, Iterative method, Algorithm, Fractional Derivatives, series solution, Modeling and Simulation, Disease Transmission and Population Dynamics, Residual, Physical Sciences, Medicine, Fractional Calculus, Iterative Methods, Mathematics

Turkish CoHE Thesis Center URL

Fields of Science

01 natural sciences, 0103 physical sciences, 0101 mathematics

Citation

Al Qurashi, Maysaa' Mohamed; Korpinar, Zeliha; Baleanu, Dumitru; Mustafa Inc.(2017) A new iterative algorithm on the time-fractional Fisher equation: Residual power series method, Advances in Mechancal Engineering, 9(9).

WoS Q

Q3

Scopus Q

Q2
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OpenCitations Citation Count
27

Source

Advances in Mechanical Engineering

Volume

9

Issue

9

Start Page

168781401771600

End Page

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Citations

CrossRef : 24

Scopus : 33

Captures

Mendeley Readers : 14

SCOPUS™ Citations

33

checked on Feb 03, 2026

Web of Science™ Citations

27

checked on Feb 03, 2026

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1.98576052

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