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- Title
Existence and Uniqueness of Solutions for Time-Fractional Oldroyd-B Fluid Equations with Generalized Fractional Derivatives.
- Authors
Messaoudi, Hassan; Ardjouni, Abdelouaheb; Zitouni, Salah
- 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.
- Subjects
FRACTIONAL calculus; FLUID dynamics; NONLINEAR partial differential operators; MATHEMATICS; HYPOTHESIS
- Publication
Journal of Nonlinear Modeling & Analysis, 2024, Vol 6, Issue 1, p142
- ISSN
2562-2854
- Publication type
Article
- DOI
10.12150/jnma.2024.142