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

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  • Mohamed Abdalla Darwish
  • Józef Banaś

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.

Suggested Citation

  • Mohamed Abdalla Darwish & Józef Banaś, 2014. "Existence and Characterization of Solutions of Nonlinear Volterra-Stieltjes Integral Equations in Two Variables," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-11, May.
    • Handle: RePEc:hin:jnlaaa:618434
    DOI: 10.1155/2014/618434
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