Existence of mild solutions of totally nonlinear Liouville-Caputo fractional differential equations

Authors

  • Abderrahim Guerfi Department of Mathematics, University of Annaba
  • Abdelouaheb Ardjouni University of Souk Ahras, Department of Mathematics

Abstract

Sufficient conditions are presented in this article for the new existence results of a mild solution of a totally nonlinear Liouville-Caputo fractional differential equation. The technique used to show our main results depends on the fixed point theorem due to Krasnoselskii-Burton. An example is provided to illustrate our obtained results.

Published

08/30/2025