<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>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.</p>
</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.

System of boundary random fractional differential equations via Hadamard derivative

Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica

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...

System of boundary random fractional differential equations via Hadamard derivative

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
Random fractional differential equation, Hadamard fractional differential equation, existence, fixed point, vector metric space

© 2021 Zakaria Malki et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-ShareAlike 4.0 International License.

System of boundary random fractional differential equations via Hadamard derivative

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

KeywordsRandom fractional differential equation, Hadamard fractional differential equation, existence, fixed point, vector metric space

© 2021 Zakaria Malki et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-ShareAlike 4.0 International License.

Keywords
Random fractional differential equation, Hadamard fractional differential equation, existence, fixed point, vector metric space