These findings can be used in further studies

The gap

Evidence profile

Sourced from the future-work section and stated research gap and stated challenges and conclusions of the source papers, classified as general, spanning 6 journals.

Supporting evidence — 7 representative gaps

• A Haar wavelet operational matrix method for fractional Riccati differential equations with Atangana’s beta derivative (2026) · Advances in Differential Equations and Control Processes · doi

  To apply the proposed method to other types of fractional differential equations. To compare the proposed method with other numerical methods. To use the proposed method to solve real-world problems involving fractional calculus.

  generalfuture-work sectionevidence 5/5
  Keywords: apply proposed method other types fractional differential equations
• 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 5/5
  Keywords: 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

  The complexity of fractional calculus and the Caputo derivative. The need for a unified analytical setting for fractional modelling of multivariable special functions and fractional differential equations. The challenge of deriving a transform representation for the Appell function F 3.

  generalstated challengesevidence 5/5
  Keywords: complexity fractional calculus caputo derivative need unified analytical
• Cauchy Problem Involving Hybrid Proportional–Caputo Derivative in Banach Spaces (2026) · Contemporary Mathematics · doi

  The need to accurately model nonlocal phenomena has motivated the development of various fractional derivative operators. A gap in the literature on nonlinear Cauchy problems driven by hybrid proportional-Caputo fractional derivatives in Banach spaces is identified.

  generalstated research gapevidence 5/5
  Keywords: need accurately model nonlocal phenomena has motivated development
• Prabhakar function and unified fractional kinetic equation in bicomplex space (2026) · arXiv

  Further exploration of the properties and applications of the bicomplex Prabhakar function. The use of the bicomplex Prabhakar function to solve differential and integral equations in complex systems involving fractional dynamics.

  generalfuture-work sectionevidence 5/5
  Keywords: further exploration properties applications bicomplex prabhakar function use
• EQUIVALENCE OF INITIAL CONDITIONS FOR A FRACTIONAL DIFFERENTIAL EQUATION WITH THE RIEMANN–LIOUVILLE DERIVATIVE (2026) · Zenodo (CERN European Organization for Nuclear Research) · doi

  These findings can be used in further studies of fractional models and in trans- forming problems into more applicable forms, such as the Caputo formulation.

  generalconclusionsevidence 4/5
  Keywords: used further fractional models trans forming problems applicable forms caputo formulation
• Comparative semi-analytical solutions of Caputo time-fractional Fokker–Planck equations via Laplace transform–based decomposition and iterative methods (2026) · DOAJ (DOAJ: Directory of Open Access Journals) · doi

  Future research may explore higher-dimensional fractional models or the application of other fractional operators, including Atangana–Baleanu, Caputo–Fabrizio, and conformable derivatives.

  generalconclusionsevidence 4/5
  Keywords: fractional future explore higher dimensional models application operators including atangana baleanu caputo fabrizio conformable derivatives

Questions about this gap