The differential transform method and Padé approximants for a fractional population growth model
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Publication:2966974
DOI10.1108/09615531211244925zbMath1356.92073OpenAlexW1972216817MaRDI QIDQ2966974
Yasir Khan, Vedat Suat Ertürk, Shaher Momani, Ahmet Yildirim
Publication date: 28 February 2017
Published in: International Journal of Numerical Methods for Heat & Fluid Flow (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1108/09615531211244925
modellingPadé approximantspopulation dynamicsmathematical analysisdifferential transform methodCaputo fractional derivativefractional integro-differential equation
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Cites Work
- A transformed rational function method and exact solutions to the \(3+1\) dimensional Jimbo-Miwa equation
- Numerical approximations and padé approximants for a fractional population growth model
- An explicit, totally analytic approximate solution for Blasius' viscous flow problems
- Fractals and fractional calculus in continuum mechanics
- Analytical approximations and Padé approximants for Volterra's population model
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- On the homotopy analysis method for nonlinear problems.
- Numerical approximations for population growth models
- Solution of fractional differential equations by using differential transform method
- Vito Volterra and theoretical ecology
- Explicit and exact solutions to a Kolmogorov-Petrovskii-Piskunov equation
- Pitfalls in fast numerical solvers for fractional differential equations
- The differential transform method and Padé approximants for a fractional population growth model
- On the Appearance of the Fractional Derivative in the Behavior of Real Materials
- Classroom Note:Numerical and Analytical Solutions of Volterra's Population Model
- An Eigenvector Expansion Method for the Solution of Motion Containing Fractional Derivatives
- Solving the Korteweg-de Vries equation by its bilinear form: Wronskian solutions
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