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

	Ulam stability of $\wp$-mild solutions for $\psi$-Caputo-type fractional semilinear differential equations
International Journal of Nonlinear Analysis and Applications
مقاله 1، دوره 16، شماره 3، خرداد 2025، صفحه 1-17 اصل مقاله (469.9 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2024.32857.4886
نویسندگان
Asmaa Baihi^* ؛ Ahmed Kajouni؛ Khalid Hilal
LMACS Laboratory, Sultan Moulay Slimane University, Beni Mellal, Morocco
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
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