On the existence and stability of positive solution for a nonlinear fractional-order differential equation and some applications

Author

al-Sayyid, Ahmad M. A.

Source

Alexandria Journal of Mathematics

Issue

Vol. 1, Issue 1 (30 Jun. 2010), pp.1-10, 10 p.

Publisher

Amgad Society for Developing the Community and Protecting the Environment

Publication Date

2010-06-30

Country of Publication

Egypt

No. of Pages

10

Main Subjects

Mathematics

Abstract EN

We are concerned here with a class of nonlinear fractional-order di®erential equa- tions.

We study the existence of a unique positive solution, its uniform stability and its global stability at the equilibrium points.

The fractional-order logistic equation, replicator ( hawk-dove (HD) game) equation, law of mass actions and some other examples will be considered as applications.

American Psychological Association (APA)

al-Sayyid, Ahmad M. A.. 2010. On the existence and stability of positive solution for a nonlinear fractional-order differential equation and some applications. Alexandria Journal of Mathematics،Vol. 1, no. 1, pp.1-10.
https://search.emarefa.net/detail/BIM-760825

Modern Language Association (MLA)

al-Sayyid, Ahmad M. A.. On the existence and stability of positive solution for a nonlinear fractional-order differential equation and some applications. Alexandria Journal of Mathematics Vol. 1, no. 1 (Jun. 2010), pp.1-10.
https://search.emarefa.net/detail/BIM-760825

American Medical Association (AMA)

al-Sayyid, Ahmad M. A.. On the existence and stability of positive solution for a nonlinear fractional-order differential equation and some applications. Alexandria Journal of Mathematics. 2010. Vol. 1, no. 1, pp.1-10.
https://search.emarefa.net/detail/BIM-760825

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references : p. 10

Record ID

BIM-760825