Atangana–Baleanu–Caputo derivative
E901944
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.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Atangana–Baleanu–Caputo derivative canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T10992227 — resolving that mention is where its identity was fixed. The disambiguator weighed these candidate entities and picked the highlighted one (or “None”, minting a new entity). This is how homonymy is resolved: the same surface form can point to different entities.
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Atangana–Baleanu–Caputo derivative Context triple: [Caputo derivative, hasVariant, Atangana–Baleanu–Caputo derivative]
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A.
Rozdilna
Rozdilna is a small town in southwestern Ukraine that serves as a local administrative and railway hub within Odesa Oblast.
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B.
Bandabi
Bandabi is the Asiatic black bear mascot of the PyeongChang 2018 Winter Paralympic Games, symbolizing courage and strong will.
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C.
Sepetiba
Sepetiba is a coastal neighborhood in Rio de Janeiro known for its bay, fishing activities, and industrial port area.
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D.
Masbat
Masbat is a district within the Egyptian resort town of Dahab, known for its laid-back atmosphere, beachfront promenade, and proximity to popular Red Sea dive sites.
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E.
المستملي
المستملي هو أحد رواة صحيح البخاري الذين نقلوا ودوّنوا نص الجامع الصحيح، معتمدًا في ذلك على سماعه المباشر من الإمام البخاري.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Atangana–Baleanu–Caputo derivative Target entity description: 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.
-
A.
Rozdilna
Rozdilna is a small town in southwestern Ukraine that serves as a local administrative and railway hub within Odesa Oblast.
-
B.
Bandabi
Bandabi is the Asiatic black bear mascot of the PyeongChang 2018 Winter Paralympic Games, symbolizing courage and strong will.
-
C.
Sepetiba
Sepetiba is a coastal neighborhood in Rio de Janeiro known for its bay, fishing activities, and industrial port area.
-
D.
Masbat
Masbat is a district within the Egyptian resort town of Dahab, known for its laid-back atmosphere, beachfront promenade, and proximity to popular Red Sea dive sites.
-
E.
المستملي
المستملي هو أحد رواة صحيح البخاري الذين نقلوا ودوّنوا نص الجامع الصحيح، معتمدًا في ذلك على سماعه المباشر من الإمام البخاري.
- F. None of above. chosen
Statements (42)
| Predicate | Object |
|---|---|
| instanceOf |
fractional derivative
ⓘ
generalized derivative operator ⓘ |
| aimsTo |
avoid singular kernels
ⓘ
better describe complex systems with memory ⓘ |
| appliedTo |
boundary value problems
ⓘ
fractional differential equations ⓘ initial value problems ⓘ |
| belongsTo | non-local operators in time ⓘ |
| contrastedWith |
Riemann–Liouville fractional derivative
ⓘ
linked to:
Riemann–Liouville derivative
classical integer-order derivative ⓘ |
| extends | classical Caputo derivative ⓘ |
| field | fractional calculus ⓘ |
| generalizes | Caputo derivative ⓘ |
| hasAdvantage |
more realistic memory representation
ⓘ
non-singular kernel at origin ⓘ |
| hasCategory | Caputo-type fractional derivative ⓘ |
| hasKernelType |
non-local kernel
ⓘ
non-singular kernel ⓘ |
| hasOrderParameter | fractional order alpha ⓘ |
| hasProperty |
fractional order
ⓘ
non-local operator ⓘ non-singular kernel behavior ⓘ |
| hasRepresentation | integral operator with non-singular kernel ⓘ |
| introducedBy |
Abdon Atangana
ⓘ
Dumitru Baleanu ⓘ |
| mathematicalDomain | analysis ⓘ |
| namedAfter |
Abdon Atangana
ⓘ
Dumitru Baleanu ⓘ |
| relatedTo |
Atangana–Baleanu derivative
ⓘ
Caputo fractional derivative ⓘ
linked to:
Caputo derivative
|
| usedFor |
modeling hereditary phenomena
ⓘ
modeling memory effects ⓘ |
| usedIn |
applied sciences
ⓘ
control theory ⓘ diffusion processes ⓘ engineering ⓘ mathematical modeling of real-world phenomena ⓘ physics ⓘ viscoelasticity modeling ⓘ |
| usedToModel |
anomalous diffusion
ⓘ
complex dynamical systems ⓘ non-local transport processes ⓘ |
How these facts were elicited
The pipeline generated the facts above by prompting gpt-5.1 with this entity's name + description and the instruction below.
Instruction
You are a knowledge base construction expert. Given a subject entity and a description of it, return factual statements that you know for the subject as a JSON list of dictionaries(triples), where keys must be "subject", "predicate" and "object". The number of facts may be very high, between 25 to 50 or more, for very popular subjects. For less popular subjects, the number of facts can be very low, like 5 or 10. # Requirements - If you don't know the subject at all, return an empty list. - If the subject is not a named entity, return an empty list. - Include at least one triple where predicate is "instanceOf". - Do not get too wordy. - Separate several objects into multiple triples with one object.
Input
Subject: Atangana–Baleanu–Caputo derivative Description of subject: 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.
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.