The method is limited to solving fractional Riccati
Research gap analysis derived from 3 mathematics papers in our local library.
The gap
The method is limited to solving fractional Riccati differential equations with Atangana's beta derivative. The computational complexity of the method may increase for large-scale problems.
Evidence profile
Sourced from the stated research gap and limitations section of the source papers, classified as general, spanning 3 journals.
Research trend
Established — well-defined area with open sub-problems.
Supporting evidence — 4 representative gaps
- Convergence Analysis of Lie and Strang Splitting for Operator-Valued Differential Riccati Equations (2026) · SIAM Journal on Numerical Analysis · doi
There is a lack of rigorous convergence analyses of time stepping methods for operator-valued differential Riccati equations. The existing work on the convergence analysis of numerical methods for DREs is limited.
generalstated research gapevidence 5/5Keywords: there lack rigorous convergence analyses time stepping methods - 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
There is a need for reliable and efficient numerical methods for solving fractional differential equations. The proposed method fills this gap by providing a simple and efficient framework for solving fractional Riccati differential equations.
generalstated research gapevidence 5/5Keywords: there need reliable efficient numerical methods solving fractional - 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
The method is limited to solving fractional Riccati differential equations with Atangana's beta derivative. The computational complexity of the method may increase for large-scale problems.
generallimitations sectionevidence 5/5Keywords: method limited solving fractional riccati differential equations atangana - Integrated Mahgoub–VIM Hybrid Transform Technique for Solving Linear, Nonlinear, and Fractional Differential Equations (2026) · Asian Journal of Science Technology Engineering and Art · doi
Conventional integral transform techniques are inadequate for solving nonlinear and fractional-order differential equations. A comprehensive framework for assessing and comparing hybrid methods is lacking.
generalstated research gapevidence 5/5Keywords: conventional integral transform techniques inadequate solving nonlinear fractional-order
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