Lyapunov stability solutions of fractional integrodifferential equations-Reference-Cited by-同舟云学术

Lyapunov stability solutions of fractional integrodifferential equations

Published:2004 Issue:47 Volume:2004 Page:2503-2507
ISSN:0161-1712
Container-title:International Journal of Mathematics and Mathematical Sciences
language:en
Short-container-title:International Journal of Mathematics and Mathematical Sciences

Author:

Momani Shaher¹^ORCID,Hadid Samir²

Affiliation:

1. Department of Mathematics, Faculty of Science, Mutah University, P.O. Box 7, Al-Karak, Jordan

2. Department of Mathematics and Science, Faculty of Education and Basic Science, Ajman University of Science and Technology Network, P.O. Box 346, Ajman, United Arab Emirates

Abstract

Lyapunov stability and asymptotic stability conditions for the solutions of the fractional integrodiffrential equationsx(α)(t)=f(t,x(t))+∫t0tk(t,s,x(s))ds,0<α≤1, with the initial conditionx(α−1)(t0)=x0, have been investigated. Our methods are applications of Gronwall's lemma and Schwartz inequality.

Publisher

Hindawi Limited

Subject

Mathematics (miscellaneous)

Link

http://downloads.hindawi.com/journals/ijmms/2004/575670.pdf

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