TY - JOUR
T1 - Existence and Uniqueness of Solutions for Time-Fractional Oldroyd-B Fluid Equations with Generalized Fractional Derivatives
AU - Messaoudi , Hassan
AU - Ardjouni , Abdelouaheb
AU - Zitouni , Salah
JO - Journal of Nonlinear Modeling and Analysis
VL - 1
SP - 142
EP - 151
PY - 2024
DA - 2024/03
SN - 6
DO - http://doi.org/10.12150/jnma.2024.142
UR - https://global-sci.org/intro/article_detail/jnma/22971.html
KW - Time-fractional Oldroyd-B fluid equations, generalized fractional derivatives, generalized Laplace transform, regularity, Banach fixed point theorem.
AB - <p style="text-align: justify;">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.</p>