Article
Version 1
Preserved in Portico This version is not peer-reviewed
A New Mixed Fractional Derivative with Application to Computational Biology
Version 1
: Received: 3 November 2023 / Approved: 3 November 2023 / Online: 3 November 2023 (11:03:35 CET)
A peer-reviewed article of this Preprint also exists.
Hattaf, K. A New Mixed Fractional Derivative with Applications in Computational Biology. Computation 2024, 12, 7. Hattaf, K. A New Mixed Fractional Derivative with Applications in Computational Biology. Computation 2024, 12, 7.
Abstract
This study develops a new definition of fractional derivative that mixes the definitions of fractional derivatives with singular and non-singular kernels. Such developed definition encompasses many types of fractional derivatives, such as the Riemann-Liouville and Caputo fractional derivatives for singular kernel type as well as the Caputo-Fabrizio, the Atangana-Baleanu and the generalized Hattaf fractional derivatives for non-singular kernel type. The associate fractional integral of the new mixed fractional derivative is rigorously introduced. Furthermore, newly numerical scheme is developed to approximate the solutions of a class of fractional differential equations (FDEs) involving the mixed fractional derivative. Finally, an application to computational biology is presented.
Keywords
Fractional operators; singular and non-singular kernels; Laplace transform; numerical method
Subject
Computer Science and Mathematics, Mathematical and Computational Biology
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Comments (0)
We encourage comments and feedback from a broad range of readers. See criteria for comments and our Diversity statement.
Leave a public commentSend a private comment to the author(s)
* All users must log in before leaving a comment
