Solutions to stochastic fractional oscillation equations |
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| Authors: | Anna Karczewska Carlos Lizama |
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| Institution: | 1. University of Zielona Góra, Faculty of Mathematics, Computer Science and Econometrics, ul. Szafrana 4a, 65-516 Zielona Góra, Poland;2. Universidad de Santiago de Chile, Departamento de Matemática, Facultad de Ciencias, Casilla 307-Correo 2, Santiago, Chile |
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| Abstract: | We formulate a fractional stochastic oscillation equation as a generalization of Bagley’s fractional differential equation. We do this in analogy with the case for Basset’s equation, which gives rise to fractional stochastic relaxation equations. We analyze solutions under some conditions of spatial regularity of the operators considered. |
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