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

Asmaa Baihi; Ahmed Kajouni; Khalid Hilal

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

Publish place: International Journal of Nonlinear Analysis and Applications، Vol: 16، Issue: 3

Publish Year: 1404

نوع سند: مقاله ژورنالی

زبان: English

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https://civilica.com/doc/2062780

شناسه ملی سند علمی:

JR_IJNAA-16-3_001

تاریخ نمایه سازی: 7 شهریور 1403

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 (۰,۱), 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:

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

Authors

Asmaa Baihi

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

Ahmed Kajouni

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

Khalid Hilal

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

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