International Journal of Nonlinear Analysis and Applications

Ulam stability of $\wp$-mild solutions for $\psi$-Caputo-type fractional semilinear differential equations

Document Type : Research Paper

Authors

LMACS Laboratory, Sultan Moulay Slimane University, Beni Mellal, Morocco

Abstract

We study in this paper the existence and uniqueness of solutions to initial value problems for semilinear differential equations involving $\psi$-Caputo differential derivatives of an arbitrary $l\in (0,1),$ using the fixed theorem. We do analyse further the M-L-U-H stability and the M-L-U-H-R stability. Then we conclude with an example to illustrate the result.

Keywords

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International Journal of Nonlinear Analysis and Applications
Volume 16, Issue 3
March 2025
Pages 1-17
  • Receive Date: 01 December 2023
  • Revise Date: 14 January 2024
  • Accept Date: 15 January 2024