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

Publication date: 28 April 2009

Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)

zbMATH Keywords

Schauder's fixed point theorem asymptotic stability measure of noncompactness local attractivity bounded and continuous solution quadratic Volterra integral equation of fractional order

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Asymptotics of solutions to integral equations (45M05) Stability theory for integral equations (45M10) Singular nonlinear integral equations (45G05)

Related Items (9)

The technique of Volterra-Stieltjes integral equations in the application to infinite systems of nonlinear integral equations of fractional orders ⋮ On the existence of locally attractive solutions of a nonlinear quadratic Volterra integral equation of fractional order ⋮ Existence of solutions for a class of nonlinear Volterra singular integral equations ⋮ Solvability of fractional integral equations on an unbounded interval through the theory of Volterra-Stieltjes integral equations ⋮ On the concept of existence and local attractivity of solutions for some quadratic Volterra integral equation of fractional order ⋮ Solvability of a nonlinear Volterra-Stieltjes integral equation in the class of bounded and continuous functions of two variables ⋮ Weighted pseudo-almost periodic solutions of a class of semilinear fractional differential equations ⋮ On local attractivity of solutions of a functional integral equation of fractional order with deviating arguments ⋮ Solvability of a functional integral equation of fractional order in the class of functions having limits at infinity

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