In this chapter, a spectral formulation is introducedfor a fractional optimal control problem
(FOCP) defined in spherical coordinates in the cases of half and complete axial symmetry …

This paper presents a formulation and numerical solutions of an optimal control problem of a
linear time-invariant space–time fractional diffusion equation. The main aim of this …

In this paper, we study the fractional optimal control problem and its spectral approximation.
The problem under investigation consists in finding the optimal solution governed by the …

This paper presents the formulation of an axis-symmetric fractional optimal control problem
(FOCP). Dynamic characteristics of the system are defined in terms of the left and right …

We study a linear-quadratic optimal control problem involving a parabolic equation with
fractional diffusion and Caputo fractional time derivative of orders $ s\in (0, 1) $ and …

This paper deals with a new formulation of time fractional optimal control problems governed
by Caputo-Fabrizio (CF) fractional derivative. The optimality system for this problem is …

This is part I of a two part paper on an axis-symmetric fractional diffusion-wave problem. In
this part we focus on the response of the system subjected to external excitation. We define …

We study a linear-quadratic optimal control problem involving a parabolic equation with
fractional diffusion and Caputo fractional time derivative of orders s∈(0,1) and γ∈(0,1 …

In this paper, we mainly investigate the fractional spectral collocation discretization of
optimal control problem governed by a space-fractional diffusion equation. Existence and …

In this paper we start by using a new definition of weak Caputo derivative in the sense of
distributions, and we give a variational formulation to a fractional diffusion equation with …