International Journal of Nonlinear Analysis and Applications

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

Articles in Press

Document Type : Research Paper

Authors

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

10.22075/ijnaa.2024.32857.4886

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

Articles in Press, Corrected Proof
Available Online from 03 March 2024
  • Receive Date: 01 December 2023
  • Revise Date: 14 January 2024
  • Accept Date: 15 January 2024