Hyperchaotic behaviors, optimal control, and synchronization of a nonautonomous cardiac conduction system

D Baleanu, SS Sajjadi, JH Asad, A Jajarmi… - Advances in Difference …, 2021 - Springer
In this paper, the hyperchaos analysis, optimal control, and synchronization of a
nonautonomous cardiac conduction system are investigated. We mainly analyze, control …

[HTML][HTML] On a new and generalized fractional model for a real cholera outbreak

D Baleanu, FA Ghassabzade, JJ Nieto… - Alexandria Engineering …, 2022 - Elsevier
In this paper, a new mathematical model involving the general form of Caputo fractional
derivative is studied for a real case of cholera outbreak. Fundamental properties of the new …

[HTML][HTML] A new comparative study on the general fractional model of COVID-19 with isolation and quarantine effects

D Baleanu, MH Abadi, A Jajarmi, KZ Vahid… - Alexandria Engineering …, 2022 - Elsevier
A generalized version of fractional models is introduced for the COVID-19 pandemic,
including the effects of isolation and quarantine. First, the general structure of fractional …

A general fractional formulation and tracking control for immunogenic tumor dynamics

A Jajarmi, D Baleanu… - … Methods in the …, 2022 - Wiley Online Library
Mathematical modeling of biological systems is an important issue having significant effect
on human beings. In this direction, the description of immune systems is an attractive topic …

[HTML][HTML] A new and general fractional Lagrangian approach: a capacitor microphone case study

A Jajarmi, D Baleanu, KZ Vahid, HM Pirouz, JH Asad - Results in Physics, 2021 - Elsevier
In this study, a new and general fractional formulation is presented to investigate the
complex behaviors of a capacitor microphone dynamical system. Initially, for both …

A new adaptive synchronization and hyperchaos control of a biological snap oscillator

SS Sajjadi, D Baleanu, A Jajarmi, HM Pirouz - Chaos, Solitons & Fractals, 2020 - Elsevier
The purpose of this paper is to analyze and control the hyperchaotic behaviours of a
biological snap oscillator. We mainly study the chaos control and synchronization of a …

A nonstandard finite difference scheme for the modeling and nonidentical synchronization of a novel fractional chaotic system

D Baleanu, S Zibaei, M Namjoo, A Jajarmi - Advances in Difference …, 2021 - Springer
The aim of this paper is to introduce and analyze a novel fractional chaotic system including
quadratic and cubic nonlinearities. We take into account the Caputo derivative for the …

On a nonlinear dynamical system with both chaotic and nonchaotic behaviors: a new fractional analysis and control

D Baleanu, SS Sajjadi, A Jajarmi, Ö Defterli - Advances in Difference …, 2021 - Springer
In this paper, we aim to analyze the complicated dynamical motion of a quarter-car
suspension system with a sinusoidal road excitation force. First, we consider a new …

Optimal controls for second‐order stochastic differential equations driven by mixed‐fractional Brownian motion with impulses

R Dhayal, M Malik, S Abbas… - … Methods in the Applied …, 2020 - Wiley Online Library
We study optimal control problems for a class of second‐order stochastic differential
equation driven by mixed‐fractional Brownian motion with non‐instantaneous impulses. By …

Optimal control results for Sobolev‐type fractional mixed Volterra–Fredholm type integrodifferential equations of order 1 < r < 2 with sectorial operators

M Mohan Raja, V Vijayakumar - Optimal Control Applications …, 2022 - Wiley Online Library
The goal of this research is to investigate the issue of existence and optimal control results
for fractional mixed Volterra–Fredholm type integrodifferential systems of order 1< r< 2 1< r< …