On solutions of an infinite system of singular integral equations |
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Affiliation: | 1. Department of Mathematics, Rzeszów University of Technology, W. Pola 2, 35-959 Rzeszów, Poland;2. Department of Mathematics, University of Las Palmas de Gran Canaria, Campus de Tafira Baja, 35017 Las Palmas de Gran Canaria, Spain |
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Abstract: | Using the classical Schauder fixed point principle we prove an existence result concerning an infinite system of singular integral equations. The obtained result is applied to establish the solvability of an infinite system of differential equations of fractional order. |
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