Numerical simulation of the fractal-fractional Ebola virus
Date
2020
Authors
Srivastava, H.M.
Saad, Khaled M.
Journal Title
Journal ISSN
Volume Title
Publisher
Fractal and Fractional
Abstract
In this work we present three new models of the fractal-fractional Ebola virus.
We investigate the numerical solutions of the fractal-fractional Ebola virus in the sense of
three different kernels based on the power law, the exponential decay and the generalized
Mittag-Leffler function by using the concepts of the fractal differentiation and fractional differentiation.
These operators have two parameters: The first parameter r is considered as the fractal dimension
and the second parameter k is the fractional order. We evaluate the numerical solutions of the
fractal-fractional Ebola virus for these operators with the theory of fractional calculus and the help of
the Lagrange polynomial functions. In the case of p = k = 1, all of the numerical solutions based on
the power kernel, the exponential kernel and the generalized Mittag-Leffler kernel are found to be
close to each other and, therefore, one of the kernels is compared with such numerical methods as the
finite difference methods. This has led to an excellent agreement. For the effect of fractal-fractional
on the behavior, we study the numerical solutions for different values of r and k. All calculations in
this work are accomplished by using the Mathematica package.
Description
Keywords
fractal-fractional ebola virus, lagrange polynomial interpolation, power law, exponential law, generalized mittag-leffler function
Citation
Srivastava, H. M. & Saad, K. M. (2020). “Numerical simulation of the fractalfractional Ebola virus.” Fractal and Fractional, 4(4), 49. https://doi.org/10.3390/fractalfract4040049