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

General Mathematics 2023-10-11 v1

Abstract

In this present paper, we first obtained some estimates involving parts of ε\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 ε\varepsilon-regular mild solutions for fractional abstract integro-differential equations in Banach space.

Keywords

Cite

@article{arxiv.2310.05977,
  title  = {On the $\varepsilon$-regular mild solution for fractional abstract integro-differential equations},
  author = {J. Vanterler C. Sousa and M. Aurora P. Pulido and V. Govindaraj and E. Capelas de Oliveira},
  journal= {arXiv preprint arXiv:2310.05977},
  year   = {2023}
}

Comments

20 pages

R2 v1 2026-06-28T12:45:02.083Z