In this paper, by using the Gronwall inequality, we show two new results on the Ulam-Hyers and the Ulam-Hyers-Rassias stabilities of neutral stochastic functional differential equations. Two examples illustrating our results are exhibited.
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Ulam-Hyers-Rassias stability of neutral stochastic functional differential equations
FEDER; European Union (EU); Spanish Government
US-1254251 / Junta de Andalucia (Spain); Junta de Andalucia
RG-1441-328 / Deanship of Scientific Research at King Saud University; King Saud University
PGC2018-096540-B-I00 / Spanish Ministerio de Ciencia, Innnovacion y Universidades (Spain)