Analytical Study of Nonlinear Fractional-Order Integrodifferential Equation : Revisit Volterra's Population Model
Joint Authors
Ara, Ismat
Mahmood, Amir
Khan, Nadeem Alam
Khan, Najeeb Alam
Source
International Journal of Differential Equations
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-11-21
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
This paper suggests two component homotopy method to solve nonlinear fractional integrodifferential equations, namely, Volterra's population model.
Padé approximation was effectively used in this method to capture the essential behavior of solutions for the mathematical model of accumulated effect of toxins on a population living in a closed system.
The behavior of the solutions and the effects of different values of fractional-order α are indicated graphically.
The study outlines significant features of this method as well as sheds some light on advantages of the method over the other.
The results show that this method is very efficient, convenient, and can be adapted to fit a larger class of problems.
American Psychological Association (APA)
Khan, Najeeb Alam& Mahmood, Amir& Khan, Nadeem Alam& Ara, Ismat. 2012. Analytical Study of Nonlinear Fractional-Order Integrodifferential Equation : Revisit Volterra's Population Model. International Journal of Differential Equations،Vol. 2012, no. 2012, pp.1-8.
https://search.emarefa.net/detail/BIM-502842
Modern Language Association (MLA)
Khan, Najeeb Alam…[et al.]. Analytical Study of Nonlinear Fractional-Order Integrodifferential Equation : Revisit Volterra's Population Model. International Journal of Differential Equations No. 2012 (2012), pp.1-8.
https://search.emarefa.net/detail/BIM-502842
American Medical Association (AMA)
Khan, Najeeb Alam& Mahmood, Amir& Khan, Nadeem Alam& Ara, Ismat. Analytical Study of Nonlinear Fractional-Order Integrodifferential Equation : Revisit Volterra's Population Model. International Journal of Differential Equations. 2012. Vol. 2012, no. 2012, pp.1-8.
https://search.emarefa.net/detail/BIM-502842
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-502842