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.
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
NERFINISHED
ⓘ
classical integer-order derivative ⓘ |
| extends | classical Caputo derivative ⓘ |
| field | fractional calculus ⓘ |
| generalizes | Caputo derivative NERFINISHED ⓘ |
| 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
NERFINISHED
ⓘ
Dumitru Baleanu NERFINISHED ⓘ |
| mathematicalDomain | analysis ⓘ |
| namedAfter |
Abdon Atangana
NERFINISHED
ⓘ
Dumitru Baleanu NERFINISHED ⓘ |
| relatedTo |
Atangana–Baleanu derivative
NERFINISHED
ⓘ
Caputo fractional derivative NERFINISHED ⓘ |
| 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 ⓘ |
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.