Approximate controllability of a class of fractional neutral stochastic integro-differential inclusions with infinite delay by using Mainardi’s function

Existence results for fractional neutral integro-differential systems with nonlocal condition through resolvent operators

“…We recall that the existence, controllability and other qualitative and quantitative properties of FDEs would be the most developing area of desire as it can be seen from [18][19][20][21][22]. Mainly, there are several papers dealing with the problem of the existence of a mild solution for abstract semilinear fractional differential equations [ [13,18,20,22]].…”

Existence and controllability results for stochastic fractional evolution hemivariational inequalities

“…In particular, Sakthivel et al discussed pseudo almost the automorphic mild solutions [30], existence of solutions [33] and approximate controllability [32,34] of fractional stochastic differential systems. For more recent works about existence, stability results and approximate controllability, we refer the reader to [1,9,27,29,31,35] and the references therein.…”

About the Existence Results of Fractional Neutral Integrodifferential Inclusions with State-Dependent Delay in Fréchet Spaces

“…We recall that the fractional differential inclusions (FDI) occur in the mathematical modeling of specific models in financial aspects, optimal control, and so forth and are usually investigated by numerous writers; see, for instance, [16][17][18] and the references therein. Fractional equation with delay properties arises in several fields such as biological and physical ones with state-dependent delay or nonconstant delay.…”