Related Experiment Video
Updated: Dec 17, 2025

Synthesis of Cyclic Polymers and Characterization of Their Diffusive Motion in the Melt State at the Single Molecule Level
Published on: September 26, 2016
A fractional differential equation model for the COVID-19 transmission by using the Caputo-Fabrizio derivative
Dumitru Baleanu1,2,3, Hakimeh Mohammadi4, Shahram Rezapour5,3
1Department of Mathematics, Cankaya University, Ankara, Turkey.
Abstract:
We present a fractional-order model for the COVID-19 transmission with Caputo-Fabrizio derivative. Using the homotopy analysis transform method (HATM), which combines the method of homotopy analysis and Laplace transform, we solve the problem and give approximate solution in convergent series. We prove the existence of a unique solution and the stability of the iteration approach by using fixed point theory. We also present numerical results to simulate virus transmission and compare the results with those of the Caputo derivative.
Related Concept Videos
Transmission-Line Differential Equations
Line Section Model
A circuit representing a line section of length Δx helps in understanding the transmission line parameters. The voltage V(x) and current i(x) are measured from...
Fundamental Mathematical Principles in Pharmacokinetics: Calculus and Graphs
On the other hand, integral calculus focuses on...
Poisson's And Laplace's Equation
Bernoulli's Equation
Physiological Pharmacokinetic Models: Blood Flow-Limited Versus Diffusion-Limited Models
Second Derivatives and Laplace Operator
Consider a scalar function. The curl of its...

