Existence and Uniqueness of Solutions for Time-Fractional Oldroyd-B Fluid Equations with Generalized Fractional Derivatives

Authors

  • Hassan Messaoudi
  • Abdelouaheb Ardjouni
  • Salah Zitouni

DOI:

https://doi.org/10.12150/jnma.2024.142

Keywords:

Time-fractional Oldroyd-B fluid equations, generalized fractional derivatives, generalized Laplace transform, regularity, Banach fixed point theorem.

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.

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Published

2024-03-19

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Issue

Vol. 6 No. 1 (2024)

Section

Articles

How to Cite

Existence and Uniqueness of Solutions for Time-Fractional Oldroyd-B Fluid Equations with Generalized Fractional Derivatives. (2024). Journal of Nonlinear Modeling and Analysis, 6(1), 142-151. https://doi.org/10.12150/jnma.2024.142