Lyapunov stability solutions of fractional integrodifferential equations

Shaher Momani and Samir Hadid

International Journal of Mathematics and Mathematical Sciences, 2004, vol. 2004, 1-5

Abstract:

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

Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:575670

DOI: 10.1155/S0161171204312366

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