A mathematical modelling of a Atherosclerosis intimation with Atangana-Baleanu fractional derivative in terms of memory function

Results in Physics

Mustafa Inc¹  Adil Jhangeer²  Muhammad Imran Asjad³  Waqas Ali Faridi³  Shao-Wen Yao⁴ 

[1] Department of Computer Engineering, Biruni University, 34025 Istanbul, Turkey;Department of Mathematics, Namal Institute, Talagang Road, Mianwali 42250, Pakistan;Department of Mathematics, University of Management and Technology, Lahore, Pakistan;School of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo 454000, China;

关键词: Mathematical modelling;    Fractional calculus;    Reaction-diffusion equation;    Atherosclerosis;   

DOI  :  

来源: DOAJ

【 摘 要 】

Fractional calculus can provide a concise model for the description of the physical events that occur in inflammatory process. This work aims to investigate and construct a mathematical model of the control and inflammatory process during atherosclerosis disease utilizing the fractional theory of differentiation. For this purpose, the Atangana-Baleanu fractional operator in sense of Caputo is applied to systematized the atherosclerosis disease in the presence of memory function instead of initial conditions that permits us to generalize the proposed model. The existence of an obtained solution is discussed and the qualitative analysis is carried out for the proposed model which shows that the obtained solution is unique. The authors are confident about the generated mathematical fractional-order atherosclerosis inflammation model. We hope that the proposed fractional-order model will be more effective and helpful in the detection of atherosclerosis inflammation disease. The consequences shown in this paper might stir a new idea for tests and experiments in the future.

【 授权许可】

Unknown