In this paper we consider a Caputo type fractional derivative with respect to another function.
Some properties, like the semigroup law, a relationship between the fractional derivative …

We survey some representative results on fuzzy fractional differential equations,
controllability, approximate controllability, optimal control, and optimal feedback control for …

This paper presents a fractional-order model (FOM) for lithium-ion batteries and its
parameter identification using time-domain test data. The FOM is derived from a modified …

This paper presents a new battery state-of-charge (SOC) estimation method for lithium-ion
batteries (LIBs) based on a nonlinear fractional model with incommensurate differentiation …

On the existence of optimal solutions to fractional optimal control problems - ScienceDirect Skip
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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 book fills a gap in the literature by introducing numerical techniques to solve problems
of fractional calculus of variations (FCV). In most cases, finding the analytic solution to such …

In this paper, we present a general formulation for a fractional optimal control problem
(FOCP), in which the state and co-state equations are given in terms of the left fractional …

In the present paper, we investigate the controllability, observability and fractional linear-
quadratic problem of a non-homogeneous continuous-time fractional dynamical system (CF …

In this paper the perceptron neural networks are applied to approximate the solution of
fractional optimal control problems. The necessary (and also sufficient in most cases) …