Lyapunov stability solutions of fractional integrodifferential equations. (30th September 2004)

• Record Type: Journal Article
• Authors: Momani, Shaher; Hadid, Samir
• Is Part Of: International journal of mathematics and mathematical sciences. Number 47(2004)
• Page Start: 2503
• Page End: 2507
• Publication Date: 2004-09-30
• Subjects: Mathematics -- Periodicals; 510.5
• DOI: 10.1155/S0161171204312366
• Languages: English
• ISSNs: 0161-1712

Abstract

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