Analytical approximations for a population growth model with fractional order

By Hang Xu. 2009

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A Gronwall inequality for a general Caputo fractional operator (2017, background): “1 Introduction Fractional calculus is an important subject with numerous applications to different fields outside mathematics like physics [8, 21, 29], chemistry [4, 5, 14], biology [3, 20, 27, 30], engineering [9, 10, 24, 28], etc.”
A novel application of radial basis functions for solving a model of first-order integro-ordinary differential equation (2011, methodology): “[14] and Xu [15] used a numerical and analytical algorithm for approximate solutions of a fractional population growth model, respectively.”
Fractional-order delayed predator–prey systems with Holling type-II functional response (2015, methodology): “It has been successfully applied to system biology [7,15,37,38,47], physics [9,14,19,49], chemistry and biochemistry [48], hydrology [24,41], engineering [29,30], medicine [3,16,18], and finance [6].”
Unbounded Solutions for a Fractional Boundary Value Problems on the Infinite Interval (2010, methodology): “In paper [ 6 ], the author applied the homotopy analysis method (HAM) to solve the following fractional Volterras model for population growth of a species in a closed system.”