On attractivity and asymptotic stability of solutions of a quadratic Volterra integral equation of fractional order

Beata Rzepka

DOI: http://dx.doi.org/10.12775/TMNA.2008.037

Abstract


We study the existence of solutions of a nonlinear quadratic Volterra
integral equation of fractional order.
In our considerations we apply the technique of measures of noncompactness
in conjunction with the classical Schauder fixed point principle.
The mentioned equation is considered in the Banach space of real
functions defined, continuous and bounded on an unbounded interval.
We will show that solutions of the investigated integral equation
are locally attractive.

Keywords


Quadratic integral Volterra equation of fractional order; measure of noncompactness; local attractivity; asymptotic stability

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