# Ahmed M. KareemUniversity of Diyala · College of Science , Mathematics department

PhD in mathematics

7
Publications
690
A 'read' is counted each time someone views a publication summary (such as the title, abstract, and list of authors), clicks on a figure, or views or downloads the full-text. Learn more
18
Citations
Citations since 2017
6 Research Items
18 Citations
Introduction
Skills and Expertise

## Publications

Publications (7)
Article
Full-text available
In this paper, the deterministic and the stochastic models are proposed to study the interaction of the Coronavirus (COVID-19) with host cells inside the human body. In the deterministic model, the value of the basic reproduction number R0 determines the persistence or extinction of the COVID-19. If R0 < 1, one infected cell will transmit the virus...
Article
Full-text available
In this paper, we model the spread of coronavirus (COVID -19) by introducing stochasticity into the deterministic differential equation susceptible -infected-recovered (SIR model). The stochastic SIR dynamics are expressed using Itô's formula. We then prove that this stochastic SIR has a unique global positive solution I(t).The main aim of this art...
Article
Full-text available
Abstract:This paper introduce two different definitions of fractional derivatives, namely Riemann-Liouville and Caputo derivatives , and some basics properties of these derivatives are discussed, conformable fractional derivative are addressed .The paper focuses on the conditions needed in order to guarantee the general solution when we have the pa...
Article
Full-text available
In this article, we analyze stochastic differential equations model for internal Coronavirus (COVID-19) dynamics. The stochastic differential equations model are expressed using the Ito's formula. The Environmental Stochasticity in this dynamical model is presented via parameters disturbance which is the standard method in the stochastic differenti...
Article
Full-text available
In this paper, we suggest a new method for solving fractional initial value problems of different fractional orders. We call it hybrid Series Solution (Fractional with power, Fractional with fractional, Fractional with power and fractional). The main difference between Caputo and Riemann-Liouville formulas for the fractional derivatives as mentione...
Article
Full-text available
In this paper, we introduce three different definitions of fractional derivatives, namely Riemann-Liouville derivative, Caputo derivative and the new formula Caputo expansion formula, and some basics properties of these derivatives are discussed. The difference between Caputo and Riemann – Liouville formulas for the fractional derivatives also ment...
Thesis
Full-text available
In this thesis, I pointed out three very recent applications of the new established fractional Caputo-Fabrizio derivative and I discussed its related properties and theorems. The associated fractional integral was displayed and the Laplace transform of the Riemann-Liouville and Caputo fractional differential operators was presented.

Cited By