Well-posedness of Riemann-Liouville fractional degenerate equations with finite delay in Banach spaces
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.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.
Cite this article
B. Rachid, Well-posedness of Riemann-Liouville fractional degenerate equations with finite delay in Banach spaces, J. Math. Comput. Sci. 12 (2022), 76. https://doi.org/10.28919/jmcs/7073
BibTeX
@article{Rachid2022,
author = {Rachid, Bahloul},
title = {Well-posedness of Riemann-Liouville fractional degenerate equations with finite delay in Banach spaces},
journal = {J. Math. Comput. Sci.},
volume = {12},
year = {2022},
pages = {76},
doi = {10.28919/jmcs/7073}
}