Fourth Edition of the International Conference on Research in Applied Mathematics and Computer Science ICRAMCS 2022
 March 24-25-26, 2022
Online and Face-to-Face Conference

ICRAMCS, 4 (2022) | Proceedings ISSN: 2605-7700

Research Communication | Open Access
Volume 2022 | Communication ID 477
Analysis of fractional order model to map vesicle dynamics in the rigid sphere
Ghizlane Diki, Abdelouahed Alla Hamou, Elhoussine Azroul, Mohammed Guedda
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
January 31, 2022
March 03, 2395
April 15, 2395

Abstract: We used the fractional Caputo derivative in this paper to investigate the dynamics of a rigid particle in the shear plane that can map the deformation of a vesicle that replicates some properties of red cells. The existence and uniqueness of the solution for the fractional model is proved We also conduct a thorough analysis of equilibrium stability. To identify the numerical solution and to corroborate the theoretical conclusions, we adopted a numerical technique based on the Adams-Bashforth-Moulton predictor-corrector scheme.