Existence of solutions for nonlinear fractional stochastic differential equations

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Stochastic delay fractional evolution equations driven by fractional Brownian motion (2014, background): “[18], [19], the perturbed terms of these fractional equations are Wiener processes.”
Existence of mild solutions for a class of Hilfer fractional evolution equations with nonlocal conditions (2017, background): “[12], Miller and Ross [17], Podlubny [20], Zhou [33], and the works [18]–[23] and references therein.”
Approximate Controllability of Fractional Neutral Stochastic Functional Integro-Differential Inclusions with Infinite Delay (2014, background): “The existence, uniqueness, stability, controllability and other quantitative and qualitative properties of solutions of stochastic evolution equations or inclusions have recently received a lot of attention (see [15,23,24,33] and the references therein).”
Existence and uniqueness of the solution to uncertain fractional differential equation (2015, methodology): “Stochastic fractional differential equations were used to model dynamical systems affected by random noises [9-15].”
Asymptotic separation between solutions of Caputo fractional stochastic differential equations (2017, background): “Here, we distinguish two type of solutions: The first one is mild solutions and we refer the reader to [2, 14] for a result on the existence and uniqueness of this type of solutions.”