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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Publicly Funded
No
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
ORCID
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

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
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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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