Monotonic solutions of a quadratic integral equation of fractional order |
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Authors: | Józef Bana? Beata Rzepka |
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Institution: | Department of Mathematics, Faculty of Mathematics and Applied Physics, Rzeszów University of Technology, W. Pola 2, 35-959 Rzeszów, Poland |
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Abstract: | In the paper we indicate an error made in the proof of the main result of the paper M.A. Darwish, On quadratic integral equation of fractional orders, J. Math. Anal. Appl. 311 (2005) 112-119]. Moreover, we provide correct proof of a slightly modified version of the mentioned result. The main tool used in our proof is the technique associated with the Hausdorff measure of noncompactness. |
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Keywords: | Quadratic integral equation Nondecreasing solutions Integral of fractional order Hausdorff measure of noncompactness |
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