Existence and Uniqueness of Solutions for Time-Fractional Oldroyd-B Fluid Equations with Generalized Fractional Derivatives
Year: 2024
Author: Hassan Messaoudi, Abdelouaheb Ardjouni, Salah Zitouni
Journal of Nonlinear Modeling and Analysis, Vol. 6 (2024), Iss. 1 : pp. 142–151
Abstract
In this paper, we study the existence and uniqueness of solutions for time-fractional Oldroyd-B fluid equations with generalized fractional derivatives. We distinguish two cases. Firstly for the linear case, we get regularity results under some hypotheses of the source function and the initial data. Secondly for the nonlinear case, we use the Banach fixed point theorem to obtain the existence and uniqueness of solutions.
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.12150/jnma.2024.142
Journal of Nonlinear Modeling and Analysis, Vol. 6 (2024), Iss. 1 : pp. 142–151
Published online: 2024-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 10
Keywords: Time-fractional Oldroyd-B fluid equations generalized fractional derivatives generalized Laplace transform regularity Banach fixed point theorem.