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二阶中立型模糊边界值问题。

Second-order neutrosophic boundary-value problem.

作者信息

Moi Sandip, Biswas Suvankar, Pal Sarkar Smita

机构信息

Department of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur, B. Garden, Howrah, 711103 India.

Department of Mathematics, Sonarpur Mahavidyalaya, Kolkata, 700149 India.

出版信息

Complex Intell Systems. 2021;7(2):1079-1098. doi: 10.1007/s40747-020-00268-8. Epub 2021 Jan 24.

DOI:10.1007/s40747-020-00268-8
PMID:34777956
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC7829035/
Abstract

In this article, some properties of neutrosophic derivative and neutrosophic numbers have been presented. This properties have been used to develop the neutrosophic differential calculus. By considering different types of first- and second-order derivatives, different kind of systems of derivatives have been developed. This is the first time where a second-order neutrosophic boundary-value problem has been introduced with different types of first- and second-order derivatives. Some numerical examples have been examined to explain different systems of neutrosophic differential equation.

摘要

在本文中，给出了中立型导数和中立型数的一些性质。这些性质已被用于发展中立型微分学。通过考虑不同类型的一阶和二阶导数，发展了不同种类的导数系统。这是首次引入具有不同类型一阶和二阶导数的二阶中立型边值问题。已研究了一些数值例子来解释中立型微分方程的不同系统。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/afea/7829035/eb619919e696/40747_2020_268_Fig8_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/afea/7829035/d498dcf1b8e8/40747_2020_268_Fig1_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/afea/7829035/7b4fb904921c/40747_2020_268_Fig2_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/afea/7829035/cbfbf1aacea4/40747_2020_268_Fig3_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/afea/7829035/e482acd3ab6b/40747_2020_268_Fig4_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/afea/7829035/d257a3dca15d/40747_2020_268_Fig5_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/afea/7829035/255fdcf77bcb/40747_2020_268_Fig6_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/afea/7829035/5ebd03316113/40747_2020_268_Fig7_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/afea/7829035/eb619919e696/40747_2020_268_Fig8_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/afea/7829035/d498dcf1b8e8/40747_2020_268_Fig1_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/afea/7829035/7b4fb904921c/40747_2020_268_Fig2_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/afea/7829035/cbfbf1aacea4/40747_2020_268_Fig3_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/afea/7829035/e482acd3ab6b/40747_2020_268_Fig4_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/afea/7829035/d257a3dca15d/40747_2020_268_Fig5_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/afea/7829035/255fdcf77bcb/40747_2020_268_Fig6_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/afea/7829035/5ebd03316113/40747_2020_268_Fig7_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/afea/7829035/eb619919e696/40747_2020_268_Fig8_HTML.jpg

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本文引用的文献

1
Some aggregation operators of neutrosophic Z-numbers and their multicriteria decision making method.一些中立型Z数的聚合算子及其多准则决策方法。
Complex Intell Systems. 2021;7(1):429-438. doi: 10.1007/s40747-020-00204-w. Epub 2020 Nov 1.
2
Linear quadratic regulator problem governed by granular neutrosophic fractional differential equations.由粒状中立型分数阶微分方程控制的线性二次调节器问题。
ISA Trans. 2020 Feb;97:296-316. doi: 10.1016/j.isatra.2019.08.006. Epub 2019 Aug 5.