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

نویسندگان
Baihi, Asmaa ID 1
Kajouni, Ahmed ID 2
Hilal, Khalid ID 3

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

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

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

doi
10.22075/ijnaa.2024.32857.4886
چکیده

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.

کلیدواژه‌ها
Semilinear differential equations, $\psi$-Caputo differential derivatives, Mittag-Leffler-Ulam-Hyers stability