International Journal of Nonlinear Analysis and Applications

On the hybrid fractional semilinear evolution equations

Document Type : Research Paper

Authors

Laboratory LMACS, Sultan Moulay Slimane University, BP 523, Beni Mellal, 23000, Morocco

Abstract

In this manuscript, we study the existence of mild solutions to initial value problems for hybrid fractional semi-linear evolution equations. On the other hand, we prove four different types of Ulam-Hyers stability results for mild solutions. The existence of mild solutions is proved by the Dhage fixed point theorem. Finally, an example is given to illustrate our results.

Keywords

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International Journal of Nonlinear Analysis and Applications
Volume 16, Issue 1
January 2025
Pages 307-318
  • Receive Date: 05 August 2022
  • Revise Date: 21 June 2023
  • Accept Date: 24 June 2023