A initial–boundary value problem of a biofluid influenced by a magnetic field using a fractional differential operator with non-singular kernel

Results in Physics

Hadi Jahanshahi¹  A. González-Calderon²  J.F. Gómez-Aguilar³  Yu-Pei Lv⁴  Mosleh M. Alharthi⁵  Ayman A. Aly⁶  M.A. Taneco-Hernández⁷  P.I. Salinas-Peña⁷ 

[1] Corresponding author.;CONACYT-CIDESI sede Campeche, Ctra. Carmen Puerto Real km 7.5, Mundo Maya, Cd. del Carmen, Campeche 24153, Mexico;CONACYT-Centro Nacional de Investigación y Desarrollo Tecnológico, Tecnológico Nacional de México, Interior Internado Palmira S/N, Col. Palmira, C.P. 62490, Cuernavaca, Morelos, Mexico;Department of Mathematics, Huzhou University, Huzhou 313000, PR China;Department of Mechanical Engineering, College of Engineering, Taif University, P.O. Box 11099, Taif 21944, Saudi Arabia;Department of Mechanical Engineering, University of Manitoba, Winnipeg, R3T 5V6, Canada;Facultad de matemáticas, Universidad Autónoma de Guerrero, Av. Lázaro Cárdenas S/N, Cd. Universitaria Sur, C.P. 39087, Chilpancingo, Guerrero, Mexico;

关键词: Atangana–Baleanu fractional operator;    Magnetic field;    Blood flow;    Riemann–Liouville derivative;    Charged particles;   

DOI  :  

来源: DOAJ

【 摘 要 】

In this paper will use fractional calculus to analyse the model that describes a biofluid equipped with charged particles influenced by a magnetic field. For this purpose, the Atangana–Baleanu fractional operator in the Riemann–Liouville sense was used to solve the initial–boundary value problem. The fluid flow through a circular cylinder is influenced by a magnetic field which is perpendicular to the circular tube and an oscillating pressure gradient. Integral transforms are used to find solutions for the velocity potentials of the blood flow and its magnetic particles. Finally the effect of physical variables (Ha, R, G) on the dynamics of fluid and magnetic parameters are highlighted graphically.

【 授权许可】

Unknown