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Fractional Order Systems and Their Applications

Fractional calculus (FC) generalizes the concepts of derivative and integral orders to non-integer orders. It was introduced by Leibniz (1646–1716) but remained a purely mathematical exercise for a long time, despite the original contributions to the field of important mathematicians, physicists, an...

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Format: Online
Language:English
Published: MDPI - Multidisciplinary Digital Publishing Institute 2025
Subjects:
Parrodo’paradox
Mann iteration
Julia set
alternated system
connectivity
fuzzy fractional differential equations
Caputo derivative
fractional hyperbolic function
strongly generalized Hukuhara differentiability
Ulam-type stability
Hermite–Hadamard inequality
exponentially nonconvex function
modified Fox–Wright function
fractional integrals
error estimation
Leslie–Gower
double Allee effect
Hopf bifurcation
global stability
nonlocal operator
Kalman filter
state of charge
fuzzy inference
lithium-ion batteries
Maglev system
fractional order PID
fractional order sliding mode
fractional order fuzzy control
GWO-PSO
Liu process
Caputo fuzzy fractional differential equations
fuzzy process
credibility space
inverse problem
spectral collocation method
fractional diffusion
fractional calculus
fractional-order
digital manufacturing
supply chain
synchronization
control
fractional-order system
multi-agent
guaranteed cost consensus
delay-dependent
ψ-Hilfer fractional derivative
Riemann–Liouville fractional derivative
Caputo fractional derivative
system of fractional differential equations
fractional-order Jerk system
chaos
hopf bifurcation
stability
time delay feedback controller
fractional-order PDσ controller
delayed linear fractional-order systems
feedback controller
positive invariant set
asymptotic stabilization
n/a
thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general
thema EDItEUR::P Mathematics and Science
Online Access:ONIX_20250220_9783725826803_386
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