On the hybrid fractional semilinear evolution equations

نویسندگان
Zerbib, Samira ID 1
Hilal, Khalid ID 2
Kajouni, Ahmed ID 3

1 Laboratory LMACS, Sultan Moulay Slimane University, BP 523, Beni Mellal, 23000, Morocco

2 Laboratory LMACS, Sultan Moulay Slimane University, BP 523, Beni Mellal, 23000, Morocco

3 Laboratory LMACS, Sultan Moulay Slimane University, BP 523, Beni Mellal, 23000, Morocco

doi
10.22075/ijnaa.2023.28018.3781
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