A NEW FRACTAL FRACTIONAL MODELING OF THE COMPUTER VIRUSES SYSTEM

Epidemiology (92D30) Perturbations of ordinary differential equations (34D10) Numerical methods for initial value problems involving ordinary differential equations (65L05) Applications of operator theory to differential and integral equations (47N20) Qualitative investigation and simulation of ordinary differential equation models (34C60) Fractional ordinary differential equations (34A08)

Cites Work

Unnamed Item
Unnamed Item
A new integral transform operator for solving the heat-diffusion problem
Stochastic modeling of computer virus spreading with warning signals
A novel computer virus model and its dynamics
Modeling computer virus and its dynamics
Dynamical behavior of computer virus on internet
Numerical solution of two-sided space-fractional wave equation using finite difference method
Differential inclusion problems with convolution and discontinuous nonlinearities
Modeling computer virus prevalence with a susceptible-infected-susceptible model with reintroduction
Fractal-fractional differentiation and integration: connecting fractal calculus and fractional calculus to predict complex system
Numerical treatment of nonlinear model of virus propagation in computer networks: an innovative evolutionary Padé approximation scheme
Existence of solutions for space-fractional parabolic hemivariational inequalities
A fractional epidemiological model for computer viruses pertaining to a new fractional derivative
Dynamics at infinity and Jacobi stability of trajectories for the Yang-Chen system
On a memristor-based hyperchaotic circuit in the context of nonlocal and nonsingular kernel fractional operator
On chaos and projective synchronization of a fractional difference map with no equilibria using a fuzzy-based state feedback control
Modeling the heat flow equation with fractional-fractal differentiation
The effect of market confidence on a financial system from the perspective of fractional calculus: numerical investigation and circuit realization
A chaos study of tumor and effector cells in fractional tumor-immune model for cancer treatment
Epidemiological analysis of fractional order COVID-19 model with Mittag-Leffler kernel
Spectral entropy analysis and synchronization of a multi-stable fractional-order chaotic system using a novel neural network-based chattering-free sliding mode technique
On the variable-order fractional memristor oscillator: data security applications and synchronization using a type-2 fuzzy disturbance observer-based robust control
Deep recurrent neural networks with finite-time terminal sliding mode control for a chaotic fractional-order financial system with market confidence
Existence and uniqueness of the solution for an inverse problem of a fractional diffusion equation with integral condition
Existence and convergence results for an elastic frictional contact problem with nonmonotone subdifferential boundary conditions
King algorithm: a novel optimization approach based on variable-order fractional calculus with application in chaotic financial systems
A new fractional-order hyperchaotic memristor oscillator: dynamic analysis, robust adaptive synchronization, and its application to voice encryption
Existence of solutions for a class of noncoercive variational-hemivariational inequalities arising in contact problems
Mathematical analysis and numerical simulation of chaotic noninteger order differential systems with Riemann‐Liouville derivative
Attractor and bifurcation of forced Lorenz-84 system
Analysis of Geometric Invariants for Three Types of Bifurcations in 2D Differential Systems
OPTIMAL CONTROL OF NONLINEAR TIME-DELAY FRACTIONAL DIFFERENTIAL EQUATIONS WITH DICKSON POLYNOMIALS
TRACKING CONTROL AND STABILIZATION OF A FRACTIONAL FINANCIAL RISK SYSTEM USING NOVEL ACTIVE FINITE-TIME FAULT-TOLERANT CONTROLS
Orthogonal spline collocation scheme for the multi-term time-fractional diffusion equation
Existence of solutions for non-coercive variational-hemivariational inequalities involving the nonlocal fractional p-Laplacian
EXISTENCE OF SOLUTIONS FOR FRACTIONAL EVOLUTION INCLUSION WITH APPLICATION TO MECHANICAL CONTACT PROBLEMS
A HYBRID APPROACH FOR SYNCHRONIZING BETWEEN TWO REACTION–DIFFUSION SYSTEMS OF INTEGER- AND FRACTIONAL-ORDER APPLIED ON CERTAIN CHEMICAL MODELS
USE OF EVOLUTIONARY ALGORITHMS IN A FRACTIONAL FRAMEWORK TO PREVENT THE SPREAD OF CORONAVIRUS
New insights into a chaotic system with only a Lyapunov stable equilibrium
Existence and approximated results of solutions for a class of nonlocal elliptic variational‐hemivariational inequalities
Jacobi Stability Analysis of the Chen System