Work

A new approach to the directional derivative of fractional order

Year: 2024

Type: article

Abstract: The fractional derivative approximations offer many approaches to understanding real‐world problems. The conformable fractional derivative operator that is one of the fractional derivative operators has recently attracted a lot of interesting. In this paper, a new approach to the directional derivative obtained with the help of the conformal fractional derivative is presented. Considering this approach, the definition of the fractional partial derivative is reformulated. In addition, a new definition of fractional gradient, fractional curl, and fractional divergence is given, and the properties of these new concepts are examined.

Source: Mathematical Methods in the Applied Sciences

DOI: 10.1002/mma.10525

Author: Aykut Toplama

Institution: Kilis 7 Aralık University

Language: English

Topic: Fractional Differential Equations Solutions

Subfield: Modeling and Simulation

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $4,760

Funder: Türkiye Bilimsel ve Teknolojik Araştırma Kurumu