A mathematical model for COVID-19 transmission by using the Caputo fractional derivative

Abstract

Highlights COVID-19 is transmitted from asymptomatic individuals to susceptible individuals. COVID-19 is transmitted from symptomatic individuals to susceptible individuals. Since R0=1.6 is greater than 1, the COVID-19 will spread exponentially. If COVID-19 is not controlled, it is estimated that about 20 million people will become infected in the next three years.

On Hyers–Ulam stability of a multi-order boundary value problems via Riemann–Liouville derivatives and integrals

“…where W 1 , W 2 are defined by (10) and (11), respectively. Then boundary value problem (4) has at least one solution.…”

“…Fractional differential problems have drawn much interest in recent years owing to their extensive utilization in different branches of science such as engineering, mechanics, potential theory, biology, chemistry, etc. (see [1][2][3][4][5][6][7][8][9][10][11]). Many researchers helped in developments on the existence and uniqueness results of fractional differential equations [12][13][14][15][16][17][18][19][20][21][22][23][24][25][26].…”

Fractional hybrid inclusion version of the Sturm–Liouville equation

“…Hence, ζ = 1 > 0.0794154803 ≈¯ χ * ζ + g 0 p ( Kζ +f 0 ) + σ (α + 2) and ( χ * σ (α+2) + p (2 Kχ * ζ + χ * f 0 + Kg 0 ))¯ ≈ 0.1162851566 < 1 2 . Then by using Theorem 6, the fractional hybrid inclusion problem (17)- (18) has at least one solution.…”

“…During the last decades, many researchers have been studying some well-known problems involving differential equations such as Sturm-Lioville boundary value problems from different views (see, for example, [3][4][5][6][7][8][9][10][11][12][13][14][15][16]). It is important that researchers try to investigate distinct versions of famous and applicable differential equations (see, for example, [17][18][19][20]). On the other hand, some interesting integro-differential equations have been investigated by researchers.…”

SEIR epidemic model for COVID-19 transmission by Caputo derivative of fractional order

“…The study of disease dynamics is a dominating theme for many biologists and mathematicians (see, for example, [1][2][3][4][5][6][7][8][9][10][11][12]). In recent years, many physical and biological problems have been modeled by fractional-order derivatives.…”