System of boundary random fractional differential equations via Hadamard derivative
, and | Jan 21, 2022
About this article
Published Online: Jan 21, 2022
Page range: 17 - 41
Received: Oct 11, 2020
Accepted: Feb 07, 2021
DOI: https://doi.org/10.2478/aupcsm-2021-0002
Keywords
© 2021 Zakaria Malki et al., published by Sciendo
This work is licensed under the Creative Commons Attribution-ShareAlike 4.0 International License.
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.