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

Document Type : Research Paper


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



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.


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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