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

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.

کلیدواژه ها:

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