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Novel Investigation of Multivariable Conformable Calculus for Modeling Scientific Phenomena

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  • Mohammed K. A. Kaabar
  • Francisco Martínez
  • Inmaculada Martínez
  • Zailan Siri
  • Silvestre Paredes
  • Antonio Di Crescenzo

Abstract

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.

Suggested Citation

  • Mohammed K. A. Kaabar & Francisco Martínez & Inmaculada Martínez & Zailan Siri & Silvestre Paredes & Antonio Di Crescenzo, 2021. "Novel Investigation of Multivariable Conformable Calculus for Modeling Scientific Phenomena," Journal of Mathematics, Hindawi, vol. 2021, pages 1-12, November.
    • Handle: RePEc:hin:jjmath:3670176
    DOI: 10.1155/2021/3670176
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    Cited by:

    1. Paula Morales-Bañuelos & Nelson Muriel & Guillermo Fernández-Anaya, 2022. "A Modified Black-Scholes-Merton Model for Option Pricing," Mathematics, MDPI, vol. 10(9), pages 1-16, April.

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