Existence and Characterization of Solutions of Nonlinear Volterra-Stieltjes Integral Equations in Two Variables

Mohamed Abdalla Darwish and Józef Banaś

Abstract and Applied Analysis, 2014, vol. 2014, 1-11

Abstract:

The paper is devoted mainly to the study of the existence of solutions depending on two variables of a nonlinear integral equation of Volterra-Stieltjes type. The basic tool used in investigations is the technique of measures of noncompactness and Darbo’s fixed point theorem. The results obtained in the paper are applicable, in a particular case, to the nonlinear partial integral equations of fractional orders.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:618434

DOI: 10.1155/2014/618434

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