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On the hybrid fractional semilinear evolution equations | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 25، دوره 16، شماره 1، فروردین 2025، صفحه 307-318 اصل مقاله (394.52 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2023.28018.3781 | ||
| نویسندگان | ||
| Samira Zerbib* ؛ Khalid Hilal؛ Ahmed Kajouni | ||
| Laboratory LMACS, Sultan Moulay Slimane University, BP 523, Beni Mellal, 23000, Morocco | ||
| تاریخ دریافت: 14 مرداد 1401، تاریخ بازنگری: 31 خرداد 1402، تاریخ پذیرش: 03 تیر 1402 | ||
| چکیده | ||
| In this manuscript, we study the existence of mild solutions to initial value problems for hybrid fractional semi-linear evolution equations. On the other hand, we prove four different types of Ulam-Hyers stability results for mild solutions. The existence of mild solutions is proved by the Dhage fixed point theorem. Finally, an example is given to illustrate our results. | ||
| کلیدواژه‌ها | ||
| Hybrid fractional evolution equation؛ Mild solution؛ Ulam-Hyers stability؛ fixed point theorem | ||
| مراجع | ||
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