System of boundary random fractional differential equations via Hadamard derivative-Reference-Cited by-同舟云学术

System of boundary random fractional differential equations via Hadamard derivative

Published:2021-01-01 Issue:1 Volume:20 Page:17-41
ISSN:2300-133X
Container-title:Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
language:en
Short-container-title:

Author:

Malki Zakaria¹,Berhoun Farida¹,Ouahab Abdelghani¹

Affiliation:

1. Laboratoire de Mathématiques , Université de Sidi Bel-Abbès , B.P. 89 22000, Sidi Bel-Abbès, Algérie

Abstract

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.

Publisher

Walter de Gruyter GmbH

Link

https://www.sciendo.com/pdf/10.2478/aupcsm-2021-0002

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