A method for solving nonlinear Volterra’s population growth model of noninteger order

Many numerical methods have been developed for nonlinear fractional integro-differential Volterra’s population model (FVPG). In these methods, to approximate a function on a particular interval, only a restricted number of points have been employed. In this research, we show that it is possible to u...

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Bibliographic Details
Published in:Advances in difference equations 2017-11, Vol.2017 (1), p.1-8, Article 368
Main Authors: Baleanu, D, Agheli, B, Adabitabar Firozja, M, Al Qurashi, M Mohamed
Format: Article
Language:English
Subjects:
Analysis
Approximation
Caputo derivative
Difference and Functional Equations
Differential equations
Functional Analysis
fuzzy transform
Growth models
integro-differential equation
Mathematical models
Mathematics
Mathematics and Statistics
Methods
Numerical methods
Ordinary Differential Equations
Partial Differential Equations
Population growth
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Summary:Many numerical methods have been developed for nonlinear fractional integro-differential Volterra’s population model (FVPG). In these methods, to approximate a function on a particular interval, only a restricted number of points have been employed. In this research, we show that it is possible to use the fuzzy transform method (F-transform) to tackle with FVPG. It makes the F-transform preferable to other methods since it can make full use of all points on this interval. We also make a comparison showing that this method is less computational and is more convenient to be utilized for coping with nonlinear integro-differential equation (IDEs), fractional nonlinear integro-differential equation (FIDEs), and fractional ordinary differential equations (FODEs).
ISSN:1687-1847
1687-1839
1687-1847
DOI:10.1186/s13662-017-1421-x