Cover Image

Novel investigation of multivariable conformable calculus for modeling scientific phenomena

New investigation on the conformable version (CoV) of multivariable calculus is proposed. The conformable derivative (CoD) of a real-valued function (RVF) of several variables (SVs) and all related properties are investigated. An extension to vector-valued functions (VVFs) of several real variables...

Full description

Saved in:
Bibliographic Details
Main Authors: Kaabar, Mohammed K. A., Martinez, Francisco, Martinez, Inmaculada, Siri, Zailan, Paredes, Silvestre
Format: Article
Published: Hindawi Ltd 2021
Subjects:
QA Mathematics
Online Access:http://eprints.um.edu.my/35305/
Tags: Add Tag
No Tags, Be the first to tag this record!
id my.um.eprints.35305
record_format eprints
spelling my.um.eprints.353052022-10-14T08:19:47Z http://eprints.um.edu.my/35305/ Novel investigation of multivariable conformable calculus for modeling scientific phenomena Kaabar, Mohammed K. A. Martinez, Francisco Martinez, Inmaculada Siri, Zailan Paredes, Silvestre QA Mathematics New investigation on the conformable version (CoV) of multivariable calculus is proposed. The conformable derivative (CoD) of a real-valued function (RVF) of several variables (SVs) and all related properties are investigated. An extension to vector-valued functions (VVFs) of several real variables (SRVs) is studied in this work. The CoV of chain rule (CR) for functions of SVs is also introduced. At the end, the CoV of implicit function theorem (IFThm) for SVs is established. All results in this work can be potentially applied in studying various modeling scenarios in physical oceanography such as Stommel's box model of thermohaline circulation and other related models where all our results can provide a new analysis and computational tool to investigate these models or their modified formulations. Hindawi Ltd 2021-11 Article PeerReviewed Kaabar, Mohammed K. A. and Martinez, Francisco and Martinez, Inmaculada and Siri, Zailan and Paredes, Silvestre (2021) Novel investigation of multivariable conformable calculus for modeling scientific phenomena. Journal of Mathematics, 2021. ISSN 2314-4629, DOI https://doi.org/10.1155/2021/3670176 <https://doi.org/10.1155/2021/3670176>. 10.1155/2021/3670176
institution Universiti Malaya
building UM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Malaya
content_source UM Research Repository
url_provider http://eprints.um.edu.my/
topic QA Mathematics
spellingShingle QA Mathematics
Kaabar, Mohammed K. A.
Martinez, Francisco
Martinez, Inmaculada
Siri, Zailan
Paredes, Silvestre
Novel investigation of multivariable conformable calculus for modeling scientific phenomena
description New investigation on the conformable version (CoV) of multivariable calculus is proposed. The conformable derivative (CoD) of a real-valued function (RVF) of several variables (SVs) and all related properties are investigated. An extension to vector-valued functions (VVFs) of several real variables (SRVs) is studied in this work. The CoV of chain rule (CR) for functions of SVs is also introduced. At the end, the CoV of implicit function theorem (IFThm) for SVs is established. All results in this work can be potentially applied in studying various modeling scenarios in physical oceanography such as Stommel's box model of thermohaline circulation and other related models where all our results can provide a new analysis and computational tool to investigate these models or their modified formulations.
format Article
author Kaabar, Mohammed K. A.
Martinez, Francisco
Martinez, Inmaculada
Siri, Zailan
Paredes, Silvestre
author_facet Kaabar, Mohammed K. A.
Martinez, Francisco
Martinez, Inmaculada
Siri, Zailan
Paredes, Silvestre
author_sort Kaabar, Mohammed K. A.
title Novel investigation of multivariable conformable calculus for modeling scientific phenomena
title_short Novel investigation of multivariable conformable calculus for modeling scientific phenomena
title_full Novel investigation of multivariable conformable calculus for modeling scientific phenomena
title_fullStr Novel investigation of multivariable conformable calculus for modeling scientific phenomena
title_full_unstemmed Novel investigation of multivariable conformable calculus for modeling scientific phenomena
title_sort novel investigation of multivariable conformable calculus for modeling scientific phenomena
publisher Hindawi Ltd
publishDate 2021
url http://eprints.um.edu.my/35305/
_version_ 1748181073743839232
score 13.211869

Similar Items