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

In this article, the general fractional‐order diffusion equations within the negative Prabhakar
kernel are considered for the first time. With the aid of the Laplace transform, the series …

We study the solvability and optimal controls of an impulsive nonlinear Hilfer fractional delay
evolution inclusion in Banach spaces. For the main results, we use fractional calculus, fixed …

We study optimal control problems for time-fractional diffusion equations on metric graphs,
where the fractional derivative is considered in the Caputo sense. Using eigenfunction …

A human respiratory syncytial virus surveillance system was implemented in Florida in 1999,
to support clinical decision-making for prophylaxis of premature newborns. Recently, a local …

We deal in this paper with a diffusive SIR epidemic model described by reaction–diffusion
equations involving a fractional derivative. The existence and uniqueness of the solution are …

We introduce a fractional order SIRS model with non-linear incidence rate. Existence of a
unique positive solution to the model is proved. Stability analysis of the disease free …

In this paper, we study optimal control problems for nonlinear fractional order boundary
value problems on a star graph, where the fractional derivative is described in the Caputo …

In this paper, we use 2 iterative learning control schemes (P‐type and PI‐type) with an initial
learning rule to achieve the formation control of linear fractional‐order multiagent systems …

The goal of this paper is to consider a new class of φ-Hilfer fractional differential equations
with impulses and nonlocal conditions. By using fractional calculus, semigroup theory, and …