fractional derivative
C28455
concept
A fractional derivative is a generalization of the ordinary derivative to non-integer (fractional) orders, capturing intermediate rates of change and memory effects in functions and systems.
All labels observed (5)
| Label | Occurrences |
|---|---|
| fractional derivative canonical | 4 |
| generalized derivative | 1 |
| generalized derivative operator | 1 |
| notion in fractional calculus | 1 |
| operator in fractional calculus | 1 |
Description generation (CDg)
The one-sentence description above was generated by prompting gpt-5.1 with the class name and this instruction.
Instruction
generate a one-sentence description for a given conceptual class. # Response Format Return only the sentence: "Description: [one-sentence description of the conceptional class]"
Input
Class: fractional derivative
Generated description
A fractional derivative is a generalization of the ordinary derivative to non-integer (fractional) orders, capturing intermediate rates of change and memory effects in functions and systems.
Instances (6)
| Instance | Via concept surface |
|---|---|
| Caputo derivative | — |
| Dini derivative | generalized derivative |
| Grünwald–Letnikov derivative | notion in fractional calculus |
| Riemann–Liouville derivative | — |
| Caputo–Fabrizio derivative | — |
| Atangana–Baleanu–Caputo derivative | — |