Well-posedness of Riemann-Liouville fractional degenerate equations with finite delay in Banach spaces

Bahloul Rachid

Abstract


We study the Existence and uniqueness of solutions of the Riemann-Liouville fractional integrodifferential degenerate equations

$\frac{d}{dt}(B \frac{1}{\Gamma (1 - \alpha)}\int_{- \infty}^{t}(t - s)^{- \alpha } x(s) ds )= Ax(t) + \int_{-\infty}^{t}a(t -s)x(s)ds + L(x_{t}) + \frac{1}{\Gamma (\beta)} \int_{- \infty}^{t}(t - s)^{\beta - 1 } x(s) ds + f(t)$.

where A and B are a linear closed operators in a Banach space.

Full Text: PDF

Published: 2022-02-01

How to Cite this Article:

Bahloul Rachid, Well-posedness of Riemann-Liouville fractional degenerate equations with finite delay in Banach spaces, J. Math. Comput. Sci., 12 (2022), Article ID 76

Copyright © 2022 Bahloul Rachid. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

 

Copyright ©2022 JMCS