Triple

T10992295
Position Surface form Disambiguated ID Type / Status
Subject Hadamard fractional integral E259779 entity
Predicate relatedTo P37 FINISHED
Object Caputo fractional derivative E259777 NE FINISHED

Named-entity recognition

Before disambiguation, gpt-5-mini classified whether the object phrase is a named entity — the step behind the object's NE type shown above.

Instruction
Given a phrase, classify it is english named entity (e.g., persons, organizations, works of art) in Latin script, or not (e.g., literals, dates, URLs, verbose phrases). For disambiguation, the statement where the phrase occurs as object is also given. Please return a JSON object with `phrase` (string, the phrase being analyzed) and `is_ne` (boolean, indicating whether the phrase is a Named Entity).
Input
Phrase: Caputo fractional derivative | Statement: [Hadamard fractional integral, relatedTo, Caputo fractional derivative]

Disambiguation candidates (1 decision)

The exact options the model was shown at each disambiguation step, with the option it chose highlighted — the evidence behind this triple's disambiguated ids.

NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07 
Target entity: Caputo fractional derivative
Context triple: [Hadamard fractional integral, relatedTo, Caputo fractional derivative]
  • A. Caputo derivative chosen
    The Caputo derivative is a commonly used definition of a fractional derivative that modifies the Riemann–Liouville approach to allow for more physically meaningful initial conditions in differential equations.
  • B. Caputo–Fabrizio derivative
    The Caputo–Fabrizio derivative is a non-singular kernel formulation of fractional differentiation that modifies the classical Caputo approach to better model memory effects in physical and engineering systems.
  • C. Atangana–Baleanu–Caputo derivative
    The Atangana–Baleanu–Caputo derivative is a generalized fractional derivative operator that extends the classical Caputo derivative using non-singular, non-local kernels to better model complex memory and hereditary phenomena in applied sciences.
  • D. Grünwald–Letnikov derivative
    The Grünwald–Letnikov derivative is a fundamental definition of fractional differentiation based on limit processes and finite differences, widely used as a foundation for fractional calculus.
  • E. Riemann–Liouville derivative
    The Riemann–Liouville derivative is a fundamental definition of fractional-order differentiation in fractional calculus, generalizing the classical derivative to non-integer orders via integral transforms.
  • F. None of above.
  • G. Unsure - the case is ambiguous/there is not enough information to decide.

Provenance (3 batches)

Stage Batch ID Job type Status
creating batch_69d6aa8a6a548190a750f944ccdc8064 elicitation completed
NER batch_69d795d32f9081909def643571499521 ner completed
NED1 batch_69e3e717481c81908800cd785537c8fc ned_source_triple completed
Created at: April 8, 2026, 9:24 p.m.