Fractional Derivatives in Modeling
Research gap analysis derived from 2 biology papers in our local library.
The gap
The papers collectively suggest a need for systematic comparison and application of different fractional derivative definitions (Caputo, Riemann-Liouville, Mittag-Leffler) to improve the accuracy and applicability of models in biological systems.
Consensus across the literature
The existing studies indicate that various fractional derivatives should be more thoroughly explored and compared to address the complexities of real-world phenomena.
Research trend
Emerging — attention growing, methods still coalescing.
Supporting evidence — 2 representative gaps
- A review on fuzzy fractional order modeling in health systems with application to cardiovascular disease (2026) · doi
Investigating various fractional derivatives beyond Caputo fractional derivative is suggested as a future direction.
Keywords: fractional investigating various derivatives beyond caputo derivative future direction - Mathematical analysis of fractional-order convection–reaction–diffusion equations under the Caputo fractional derivative (2026) · doi
Comparison with other fractional derivatives beyond Caputo (such as Riemann-Liouville or Mittag-Leffler) is not addressed.
Keywords: comparison fractional derivatives beyond caputo riemann liouville mittag leffler addressed
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