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Comparative Analysis and Definitions of Fractional Derivatives

Journal of Biomedical Research & Environmental Sciences article abstract with citation details, DOI, publication dates, subject areas, full text links, and references.

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Open Access
Article Type Research Article
Subject General Science
OCLC JBRES Record
Adil Khurshaid* and Hajra Khurshaid
Issue: Volume4-Issue12
Pages: 1684-1688
Received: 2023-11-30
Accepted: 2023-12-21
Published: 2023-12-22

Abstract

Fractional Calculus (FC) has emerged as a valuable tool in various fields. This study explores the historical development of (FC) and examines prominent definitions regarding Fractional Derivatives (FD), such as the Riemann-Liouville, Grunwald-Letnikov, Caputo Fractional Derivative, Katugampula derivatives, Caputo Fractional Derivative, Caputo-Fabrizio Fractional Derivative and as well as Atangana-Baleanu Fractional Derivative. It critically evaluates their strengths, weaknesses and implications on (FD) equations. The findings contribute to establishing a clearer understanding of Fractional Derivatives (FD) and guiding their appropriate use in practical scenarios. It investigates the impact of different definitions on the properties and behaviors of (FD), providing valuable insights for researchers.

FullText HTML FullText PDF DOI: 10.37871/jbres1852 Crossmark

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Copyright

© 2023 Khurshaid A, et al. Distributed under Creative Commons CC-BY 4.0 Creative CommonsAttribution

How to cite this article

Khurshaid A, Khurshaid H. Comparative Analysis and Defi nitions of Fractional Derivatives. J Biomed Res Environ Sci. 2023 Dec 22; 4(12): 1684-1688. doi: 10.37871/jbres1852, Article ID: JBRES1852, Available at: https://www.jelsciences.com/articles/ jbres1852.pdf

Subject area(s)

Educational Science

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