On existence and local attractivity of solutions of a quadratic Volterra integral equation of fractional order |
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| Authors: | Jó zef Bana?,Donal O'Regan |
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| Affiliation: | a Department of Mathematics, Faculty of Mathematics and Applied Physics, Rzeszów University of Technology, W. Pola 2, 35-959 Rzeszów, Poland
b Department of Mathematics, National University of Ireland, Galway, Ireland |
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| Abstract: | In the paper we study the existence of solutions of a nonlinear quadratic Volterra integral equation of fractional order. This equation is considered in the Banach space of real functions defined, continuous and bounded on an unbounded interval. Moreover, we show that solutions of this integral equation are locally attractive. |
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| Keywords: | Quadratic integral equation Integral equation of fractional order Measure of noncompactness Local attractivity Asymptotic stability |
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