This research presents a new fractional-order discrete-time susceptible-infected-recovered
(SIR) epidemic model with vaccination. The dynamical behavior of the suggested model is …

Disturbances are inevitably found in almost every system and, if not rejected, they could
jeopardize the effectiveness of control methods. Thereby, employing state-of-the-art …

In this manuscript, we have studied the dynamical behavior of a deadly COVID‐19
pandemic which has caused frustration in the human community. For this study, a new …

In this article, a generalized midpoint-type Hermite–Hadamard inequality and Pachpatte-
type inequality via a new fractional integral operator associated with the Caputo–Fabrizio …

Although most of the early research studies on fractional-order systems were based on the
Caputo or Riemann–Liouville fractional-order derivatives, it has recently been proven that …

In this research, a new approach for solving fractional initial value problems is presented.
The main goal of this study focuses on establishing direct formulas to find the coefficients of …

A new approach to finding the approximate solution of distributed-order fractional optimal
control problems (DO FOCPs) is proposed. This method is based on Fibonacci wavelets …

In this paper, by considering the Caputo-like delta difference definition, a fractional
difference order map with chaotic dynamics and with no equilibria is proposed. The complex …

Parameter uncertainty is inevitably found in almost every system and, if is ignored, it could
jeopardize the effectiveness of control method. Motivated by this issue, we consider a robust …

This paper considers an optimal control problem governed by nonlinear fractional-order
systems with multiple time-varying delays and subject to canonical constraints, where the …