On the $\varepsilon$-regular mild solution for fractional abstract integro-differential equations

Autor: Sousa, J. Vanterler C., Pulido, M. Aurora P., Govindaraj, V., de Oliveira, E. Capelas
Rok vydání: 2023
Předmět:
Druh dokumentu: Working Paper
Popis: In this present paper, we first obtained some estimates involving parts of $\varepsilon$-regular mild solutions of the fractional integro-differential equation. In this sense, through these preliminary results, we investigate the main results of this paper, i.e., the existence, regularity and continuous dependence of $\varepsilon$-regular mild solutions for fractional abstract integro-differential equations in Banach space.
Comment: 20 pages
Databáze: arXiv