English

Mild and strong solutions for Hilfer evolution equation

Classical Analysis and ODEs 2019-07-04 v1 Analysis of PDEs

Abstract

In this paper, we investigate the existence and uniqueness of mild and strong solutions of fractional semilinear evolution equations in the Hilfer sense, by means of Banach fixed point theorem and the Gronwall inequality.

Cite

@article{arxiv.1907.02019,
  title  = {Mild and strong solutions for Hilfer evolution equation},
  author = {J. Vanterler da C. Sousa and Leandro S. Tavares and E. Capelas de Oliveira},
  journal= {arXiv preprint arXiv:1907.02019},
  year   = {2019}
}

Comments

7 pages

R2 v1 2026-06-23T10:11:27.509Z