Measures of Noncompactness in a Banach Algebra and Their Applications
Journal Title: Journal of Mathematics and Applications - Year 2017, Vol 40, Issue
Abstract
In this paper we study the existence of solutions of a nonlinear quadratic integral equation of fractional order. This equation is considered in the Banach space of real functions defi ned, continuous and bounded on the real half axis. Additionally, using the technique of measures of noncompactness we obtain some characterization of considered integral equation. We provide also an example illustrating the applicability of our approach.
Authors and Affiliations
Szymon Dudek
Keywords
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