边界随机分数阶微分方程的阿达玛导数系统

IF 0.1 Q4 MATHEMATICS

Annales Universitatis Paedagogicae Cracoviensis-Studia Mathematica Pub Date : 2021-01-01 DOI:10.2478/aupcsm-2021-0002

Z. Malki, Farida Berhoun, A. Ouahab

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引用次数: 3

摘要

研究了一类具有边界非局部初始条件的分数阶微分方程随机系统解的存在性。我们的方法基于Schaefer和Perov的随机不动点原理，结合使用收敛于零的矩阵的矢量方法。我们证明了这些系统的存在唯一性结果。文中给出了一些例子来说明这一理论。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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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.

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来源期刊

Annales Universitatis Paedagogicae Cracoviensis-Studia Mathematica MATHEMATICS-

自引率

11.10%

发文量

审稿时长

15 weeks