Relaxation in nonconvex optimal control problems described by fractional differential equations

A survey on fuzzy fractional differential and optimal control nonlocal evolution equations

“…Kamocki [56] studied the existence of optimal solutions to fractional optimal control problems. Liu et al [57] established the relaxation for nonconvex optimal control problems described by fractional differential equations. In Section 8, 3 a kind of Sobolev type condition and a nonlocal control condition for nonlinear fractional multiple control systems is considered.…”

A Fast Implicit Finite Difference Method for Fractional Advection-Dispersion Equations with Fractional Derivative Boundary Conditions

“…Fractional advectiondispersion equations are used to model many problems in physics, biology, and finance [3][4][5]. Fractional differential equations have attracted fantastic attention of many authors in recent years [6][7][8][9][10][11].…”

Existence results for a coupled system of Caputo type sequential fractional differential equations with nonlocal integral boundary conditions

“…With this advantage, fractional-order models are regarded as more realistic and practical. For some recent development on the topic, see [5][6][7][8][9][10][11][12][13][14][15][16][17][18] and the references therein. The study of coupled systems of fractional-order differential equations is also very significant as such systems appear in a variety of problems of applied nature, especially in biosciences.…”