Title : ( NUMERICAL SOLUTION OF FRACTIONAL-ORDER POPULATION GROWTH MODEL USING FRACTIONAL-ORDER MUNTZ–LEGENDRE COLLOCATION METHOD AND PADE–APPROXIMANTS )
Authors: Elias Hengamian Asl , Jafar Saberi- Nadjafi , Mortaza Gachpazan ,
Full TextAbstract
This paper presents a numerical solution for a nonlinear fractional Volterra integro-differential equation to study the behavior solution of the population growth model. The technique applied based on the fractional-order Muntz– Legendre polynomials and the Pade approximants. Finally, some numerical examples are presented to show the efficiency and validity of the proposed method.
Keywords
, Fractional-order Muntz–Legendre polynomials (FMLPs), Nonlinear fractional Volterra integro-differential equation, Population growth model, Caputo fractional derivative
@article{paperid:1088699,
author = {Hengamian Asl, Elias and Saberi- Nadjafi, Jafar and Gachpazan, Mortaza},
title = {NUMERICAL SOLUTION OF FRACTIONAL-ORDER POPULATION GROWTH MODEL USING FRACTIONAL-ORDER MUNTZ–LEGENDRE COLLOCATION METHOD AND PADE–APPROXIMANTS},
journal = {Jordan Journal of Mathematics and Statistics},
year = {2022},
volume = {15},
number = {1},
month = {January},
issn = {2075-7905},
pages = {157--175},
numpages = {18},
keywords = {Fractional-order Muntz–Legendre polynomials (FMLPs); Nonlinear fractional Volterra integro-differential equation; Population growth model; Caputo fractional derivative},
}
%0 Journal Article
%T NUMERICAL SOLUTION OF FRACTIONAL-ORDER POPULATION GROWTH MODEL USING FRACTIONAL-ORDER MUNTZ–LEGENDRE COLLOCATION METHOD AND PADE–APPROXIMANTS
%A Hengamian Asl, Elias
%A Saberi- Nadjafi, Jafar
%A Gachpazan, Mortaza
%J Jordan Journal of Mathematics and Statistics
%@ 2075-7905
%D 2022
