Controllability of fractional integro-differential evolution equations with nonlocal conditions

Approximate Controllability for Functional Equations with Riemann-Liouville Derivative by Iterative and Approximate Method

“…On the other hand, the notion of controllability plays a central role in the study of the theory of control and optimization. Therefore, there are a lot of works on the controllability, approximate controllability, and optimal control of linear and nonlinear differential and integral systems in various frameworks (see [10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25][26][27][28] and references therein).…”

Existence and controllability of fractional evolution equation with sectorial operator and impulse

“…Because nonlocal initial conditions generalize classical ones and play an important role in physics and engineering, more and more researchers pay attention to nonlocal Cauchy problems for different kinds of differential equations. For the fractional differential equations with nonlocal conditions, we refer to [18,23,42]. For the fractional differential equations with nonlocal conditions and impulsive effects, we refer to [13,14,21,37].…”

Exact Controllability for Hilfer Fractional Differential Inclusions Involving Nonlocal Initial Conditions

“…Controllability is one of the fundamental concepts in mathematical control theory, it means that it is possible to steer a dynamical system from an arbitrary initial state to arbitrary final state using the set of admissible controls. Recently, the controllability conditions for various linear and nonlinear integer or fractional order systems have been considered in many papers by using different methods [20][21][22][23][24][25][26][27][28][29][30][31][32][33] and the references. There have also been some results [20-24, 32, 33] about the investigations of the exact controllability of systems represented by nonlinear evolution equations in infinite dimensional space.…”

“…Liang and Yang [33] concerned the controllability for the following fractional integrodifferential evolution equations involving nonlocal conditions using the Monch fixed point theorem:…”