Controllability of fractional neutral functional differential equations with infinite delay driven by fractional Brownian motion
IMA Journal of Mathematical Control and Information(2021)
Abstract
In this work, we establish a controllability result for a class of fractional neutral stochastic functional differential equations with infinite delay driven by fractional Brownian motion. To attain our objective we adapt the argument of Lakhel & McKibben (2018, Stochastics 90, no. 3, 313–329) where the existence of mild solutions to such stochastic equations was studied. An example is provide...
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Key words
controllability,fractional neutral stochastic differential equations,fractional powers of closed operators,infinite delay,fractional Brownian motion
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