Journal of Inequalities and Applications (May 2024)

Global existence and attractivity for Riemann-Liouville fractional semilinear evolution equations involving weakly singular integral inequalities

  • Caijing Jiang,
  • Keji Xu

DOI
https://doi.org/10.1186/s13660-024-03137-x
Journal volume & issue
Vol. 2024, no. 1
pp. 1 – 21

Abstract

Read online

Abstract In this paper, we obtain several results on the global existence, uniqueness and attractivity for fractional evolution equations involving the Riemann-Liouville type by exploiting some results on weakly singular integral inequalities in Banach spaces. Some boundedness conditions of the nonlinear term are considered to obtain the main results that generalize and improve some well-known works.

Keywords