On attractivity and asymptotic stability of solutions of a quadratic Volterra integral equation of fractional order
KeywordsQuadratic integral Volterra equation of fractional order, measure of noncompactness, local attractivity, asymptotic stability
AbstractWe 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.
How to Cite
RZEPKA, Beata. On attractivity and asymptotic stability of solutions of a quadratic Volterra integral equation of fractional order. Topological Methods in Nonlinear Analysis [online]. 1 September 2008, T. 32, nr 1, s. 89–102. [accessed 31.1.2023].
Number of views and downloads: 0
Number of citations: 0