The abundance of non-equivalent descriptions of a fractional derivative FD might be one factor contributing to its unpopularity
Research gap analysis derived from 3 mathematics papers in our local library.
The gap
The abundance of non-equivalent descriptions of a fractional derivative FD might be one factor contributing to its unpopularity. The lack of a clear geometrical meaning of fractional derivatives.
Evidence profile
Sourced from the stated research gap and future-work section of the source papers, classified as general, spanning 3 journals. Those papers have been cited 2 times in total.
Research trend
Established — well-defined area with open sub-problems.
Supporting evidence — 5 representative gaps
- Fractional derivatives in biomathematical models with memory: A critical discussion (2026) · Journal of Mathematical Biology · cited 1× · doi
The paper identifies a gap in the understanding of the application of fractional derivatives in biomathematics. The authors highlight the need for a critical discussion of the role of fractional derivatives in biomathematical models. The paper explores the challenges and limitations of using fractional derivatives in population growth and disease transmission models.
generalstated research gapKeywords: paper identifies gap understanding application fractional derivatives biomathematics - Fractional derivatives in biomathematical models with memory: A critical discussion (2026) · Journal of Mathematical Biology · cited 1× · doi
Further study on the application of fractional time derivatives in mathematical biology - Investigation of the interpretation of fractional derivatives as memory operators - Research on the suitability of fractional differential equations for modelling complex biological systems
generalfuture-work sectionKeywords: further study application fractional time derivatives mathematical biology - 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
The lack of a unified analytical setting for fractional modelling of multivariable special functions and fractional differential equations. The need for a new concept of fractional modelling that can effectively represent systems governed by fractional dynamics and multivariable functional structures.
generalstated research gapevidence 5/5Keywords: lack unified analytical setting fractional modelling multivariable special - 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 - A novel approach to solving fractional fredholm-volterra integro-differential equations using the elzaki transform (2026) · Journal of King Saud University – Science · doi
The abundance of non-equivalent descriptions of a fractional derivative FD might be one factor contributing to its unpopularity. The lack of a clear geometrical meaning of fractional derivatives.
generalstated research gapevidence 5/5Keywords: abundance non-equivalent descriptions fractional derivative one factor contributing
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