Fractional evolution inclusions are an important form of differential inclusions within
nonlinear mathematical analysis. They are generalizations of the much more widely …

This paper ensures meticulous mathematical study for analyzing the dynamics of smoking
model and its public health with Atangana–Baleanu derivative. The existence and …

2.1 Integral transforms.......................... 5 2.1. 1 Laplace transform...................... 5 2.1. 2
Exponential Fourier transform............... 8 2.1. 3 Sin-Fourier transform.................... 10 2.1. 4 …

This paper concerns the existence of mild solutions for semilinear fractional evolution
equations and optimal controls in the α-norm. A suitable α-mild solution of the semilinear …

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

In a fractional optimal control problem, the integer order derivative is replaced by a fractional
order derivative. The fractional derivative embeds implicitly the time delays in an optimal …

In this paper we apply the classical control theory to a fractional diffusion equation in a
bounded domain. The fractional time derivative is considered in a Riemann–Liouville sense …

This paper investigates the existence and uniqueness of mild solutions for a class of
Sobolev type fractional nonlocal abstract evolution equations in Banach spaces. We use …

In this review paper, approximation methods for the free final time of fractional optimal
control problems (FOCPs) are displayed. The considered problems mainly include the …

In We prove existence and uniqueness of mild solutions to Sobolev type fractional nonlocal
dynamic equations in Banach spaces. The Sobolev nonlocal condition is considered in …