System of boundary random fractional differential equations via Hadamard derivative

Abstract

We study the existence of solutions for random system of fractional differential equations with boundary nonlocal initial conditions. Our approach is based on random fixed point principles of Schaefer and Perov, combined with a vector approach that uses matrices that converge to zero. We prove existence and uniqueness results for these systems. Some examples are presented to illustrate the theory.

Keywords

• random fractional differential equation
• hadamard fractional differential equation
• existence
• fixed point
• vector metric space