具有n阶导数的非线性随机微分方程

Q3 Mathematics

Moroccan Journal of Pure and Applied Analysis Pub Date : 2021-08-10 DOI:10.2478/mjpaa-2022-0001

Yfrah Hafssa, Z. Dahmani

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引用次数: 2

摘要

本文研究了一类具有n阶序导数和非局部条件的随机分数阶微分方程的可解性问题。利用巴拿赫收缩原理，得到了该问题解的存在唯一性。针对所考虑的问题，引入了新的随机数据概念，并给出了一些相关的定义。此外，对于随机和确定性情况，建立了一些与引入数据依赖性相关的结果。

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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Nonlinear Random Differential Equations with n Sequential Fractional Derivatives

Abstract This article deals with a solvability for a problem of random fractional differential equations with n sequential derivatives and nonlocal conditions. The existence and uniqueness of solutions for the problem is obtained by using Banach contraction principle. New random data concepts for the considered problem are introduced and some related definitions are given. Also, some results related to the dependance on the introduced data are established for both random and deterministic cases.

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来源期刊

Moroccan Journal of Pure and Applied Analysis Mathematics-Numerical Analysis

CiteScore

1.60

自引率

0.00%

发文量

审稿时长

8 weeks