Existence, uniqueness, and stability analysis of coupled random fractional boundary value problems with nonlocal conditions

نویسندگان
Mahammad, Khuddush ID 1
Benyoub, Mohammed ID 2
Kathun, Sarmila ID 3

1 Department of Mathematics, Dr. Lankapalli Bullayya College of Engineering, Resapuvanipalem, Visakhapatnam, 530013, Andhra Pradesh, India.

2 Department of Mathematics, Ecole Normale Sup\'{e}rieure, Taleb Abderrahmane de Laghouat, 03000 Laghouat, Algeria.

3 Department of Applied Mathematics, Andhra University, Visakhapatnam, 530003, India.

doi
10.22034/cmde.2023.53235.2246
چکیده

In this paper, the existence, uniqueness, compactness, and stability of a coupled random differential equations involving the Hilfer fractional derivatives with nonlocal boundary conditions are discussed. Arguments are discussed via some random fixed point theorems in a separable vector Banach spaces and Ulam type stability. Some examples are presented to ensure the abstract results.

کلیدواژه‌ها
Coupled fractional differential systems, Random variable, Hilfer fractional derivatives, Nonlocal conditions, fixed point theorem, Ulam-Hyers stability