A new application of the homotopy analysis method in solving the fractional Volterra's population system
Mehdi Ghasemi; Mojtaba Fardi; Reza Khoshsiar Ghaziani
Applications of Mathematics (2014)
- Volume: 59, Issue: 3, page 319-330
- ISSN: 0862-7940
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topGhasemi, Mehdi, Fardi, Mojtaba, and Ghaziani, Reza Khoshsiar. "A new application of the homotopy analysis method in solving the fractional Volterra's population system." Applications of Mathematics 59.3 (2014): 319-330. <http://eudml.org/doc/261157>.
@article{Ghasemi2014,
abstract = {This paper considers a Volterra's population system of fractional order and describes a bi-parametric homotopy analysis method for solving this system. The homotopy method offers a possibility to increase the convergence region of the series solution. Two examples are presented to illustrate the convergence and accuracy of the method to the solution. Further, we define the averaged residual error to show that the obtained results have reasonable accuracy.},
author = {Ghasemi, Mehdi, Fardi, Mojtaba, Ghaziani, Reza Khoshsiar},
journal = {Applications of Mathematics},
keywords = {Volterra's population system of fractional order; Caputo's fractional derivative; bi-parametric homotopy method; convergence region; fractional derivatives and integrals; fractional population model; homotopy analysis method; Volterra's population system of fractional order; Caputo's fractional derivative; bi-parametric homotopy method; convergence region},
language = {eng},
number = {3},
pages = {319-330},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {A new application of the homotopy analysis method in solving the fractional Volterra's population system},
url = {http://eudml.org/doc/261157},
volume = {59},
year = {2014},
}
TY - JOUR
AU - Ghasemi, Mehdi
AU - Fardi, Mojtaba
AU - Ghaziani, Reza Khoshsiar
TI - A new application of the homotopy analysis method in solving the fractional Volterra's population system
JO - Applications of Mathematics
PY - 2014
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 59
IS - 3
SP - 319
EP - 330
AB - This paper considers a Volterra's population system of fractional order and describes a bi-parametric homotopy analysis method for solving this system. The homotopy method offers a possibility to increase the convergence region of the series solution. Two examples are presented to illustrate the convergence and accuracy of the method to the solution. Further, we define the averaged residual error to show that the obtained results have reasonable accuracy.
LA - eng
KW - Volterra's population system of fractional order; Caputo's fractional derivative; bi-parametric homotopy method; convergence region; fractional derivatives and integrals; fractional population model; homotopy analysis method; Volterra's population system of fractional order; Caputo's fractional derivative; bi-parametric homotopy method; convergence region
UR - http://eudml.org/doc/261157
ER -
References
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