Sobolev type fractional abstract evolution equations with nonlocal conditions and optimal multi-controls

Existence and controllability results for stochastic fractional evolution hemivariational inequalities

“…Indeed, there has been a significant development on fractional differential equations (see [4,7,11,14,21,[36][37][38][39] and the references therein). It is remarkable that the study of fractional stochastic evolution equations has become an active area of investigation recently.…”

Fractional differential equation models with pulses and criterion for pest management

“…For more history and development, one can read the monographs [1][2][3][4][5][6][7]. In recent decades, there has been a great number of research on the questions of existence and uniqueness of solutions to impulsive problems and controllability problems for fractional order differential equations, for details, see for example [8][9][10][11][12][13][14][15][16][17][18][19][20][21].…”

Optimal controls for second‐order stochastic differential equations driven by mixed‐fractional Brownian motion with impulses

“…When SDEs describe the cost functional and system dynamics, an optimal control problem reduces to a stochastic optimal control problem. For more details on the optimal control problem, we refer to other works . Mohammadi et al analyzed the hybrid functions numerical scheme for fractional optimal control problems with application to nonanalytic dynamic systems.…”