The lack of a numerical scheme for solving fractional differential equations involving the Kayo-Kengne-Akgül derivative
Research gap analysis derived from 3 mathematics papers in our local library.
The gap
The lack of a numerical scheme for solving fractional differential equations involving the Kayo-Kengne-Akgül derivative. The need for a method that can accurately model complex phenomena.
Evidence profile
Sourced from the future-work section and stated research gap of the source papers, classified as general, spanning 3 journals.
Research trend
Established — well-defined area with open sub-problems.
Supporting evidence — 3 representative gaps
- Generalized Laplace Transform Approach to Modelling a Caputo Fractional Differential Equation Involving the Appell Function $F_3$ (2026) · Journal of Mathematical Sciences and Modelling · doi
To further develop the proposed modelling framework for other types of fractional differential equations. To apply the proposed modelling framework to various disciplines, including physics, engineering, biology, and control theory. To investigate the numerical implementation of the proposed modelling framework.
generalfuture-work sectionevidence 5/5Keywords: further develop proposed modelling framework other types fractional - Adams-Bashforth Scheme and Kayo-Kengne-Akgül Derivative: Connexion and Chaotic Modelling (2026) · Universal Journal of Mathematics and Applications · doi
The lack of a numerical scheme for solving fractional differential equations involving the Kayo-Kengne-Akgül derivative. The need for a method that can accurately model complex phenomena.
generalstated research gapevidence 5/5Keywords: lack numerical scheme solving fractional differential equations involving - Barycentric rational interpolation method for fractional-order differential equation model of HIV infection of CD4$^+$T-cells (2026) · DOAJ (DOAJ: Directory of Open Access Journals) · doi
The existing methods for solving fractional-order differential equation models of HIV infection are limited. The proposed method aims to fill this gap by providing a novel numerical approach. The method incorporates memory effects and hereditary properties, providing a more flexible framework for modeling complex biological processes.
generalstated research gapevidence 5/5Keywords: existing methods solving fractional-order differential equation models hiv
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