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updated 1 month ago

Non-Linear Fractional-Order PID Controller by Ivo Petras

Ivo Petras (view profile)

Provides an equation of the non-linear fractional-order PID controller for given parameters. (fractional calculus, fractional control, pid)

NFOC(e, K0, Ts, Kp, Ti, Td, lambda, delta, k)

memo(r, c, k)

Demo_NFOC.m

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updated 3 months ago

Fractional Variable Order Derivative Simulink Toolkit by Dominik Sierociuk

The toolkit for simulation constant and variable fractional order derivatives. (fractional calculus, variable order differ..., signal processing)

slblocks

make_mex.m

duality.mdl

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updated 5 months ago

The Mittag-Leffler function by Roberto Garrappa

Evaluation of the Mittag-Leffler function with 1, 2 or 3 parameters (mittagleffler functio..., prabhakar function, fractional calculus)

ml(z,alpha,beta,gama)

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updated 6 months ago

Global Pade Approximation of the Mittag-Leffler function by ZENG CAIBIN

Calculates the Mittag-Leffler function much faster and accurately for small and large arguments (fractional calculus, mittagleffler functio..., specital function)

gpa_ml.m

gpa_ml_demo.m

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updated 1 year ago

FODPSO for Fitting by Micael Couceiro

Micael Couceiro (view profile)

Fitting data with a given mathematical model using the FODPSO (data fitting, optimization, mathematical modeling)

Computefitness.m

FDPSOFitting.m

testing.m

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updated 1 year ago

FLMM2 by Roberto Garrappa

Fractional linear multistep methods of second order for fractional differential equations (fde, flmm, fractional differenti...)

flmm2.m

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updated 1 year ago

Fractional Order Darwinian Particle Swarm Optimization by Micael Couceiro

Micael Couceiro (view profile)

Easy-to-use Fractional Order Darwinian Particle Swarm Optimization algorithm on generic functions (optimization, pso, fractional calculus)

fodpso.m

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updated almost 3 years ago

Mittag-Leffler function by Igor Podlubny

Igor Podlubny (view profile)

Calculates the Mittag-Leffler function with desired accuracy. (mittagleffler functio..., special functions, fractional calculus)

[e]=mlf(alf,bet,c,fi)

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updated 3 years ago

Predictor-corrector PECE method for fractional differential equations by Roberto Garrappa

Solves initial value problems for fractional differential equations (mathematics, fractional differenti..., predictor corrector)

fde12(alpha,fdefun,t0,tfinal,y0,h,param,mu,mu_tol)

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updated 3 years ago

Fitting data using the Mittag-Leffler function by Igor Podlubny

Igor Podlubny (view profile)

Fitting data using the Mittag-Leffler function. (mittagleffler functio..., data fitting, fractional calculus)

mlffit1(XNodes, YDataPoints, mlfcoeffs0, Precision)

mlffit2(XNodes, YDataPoints, mlfcoeffs0, Precision)

requireFEXpackage(FEXSubmissionID)

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updated 3 years ago

Matrix approach to distributed-order ODEs and PDEs by Igor Podlubny

Igor Podlubny (view profile)

Basic functions for using matrix approach for distributed-order differential equations, and demos. (differential, discretization, distributedorder syst...)

doban(phi, alphaFromTo, alphaStep, tN, tStep)

dofan(phi, alphaFromTo, alphaStep, tN, tStep)

doranort(phi, alphaFromTo, alphaStep, tN, tStep)

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updated 3 years ago

Digital fractional-order differentiator and integrator - new IIR type by Ivo Petras

Ivo Petras (view profile)

A new IIR type of the fractional-order differentiator and integrator. (fractional calculus, digital integrator, digital differentiato...)

sysdfod=dfod3(n,T,r)

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updated 3 years ago

Fractional Order Chaotic Systems by Ivo Petras

Ivo Petras (view profile)

Numerical solutions of the fractional order chaotic systems. (chaos, fractional calculus, numerical solution)

[T, Y]=FO3CNN(parameters, orders, TSim, Y0)

[T, Y]=FOArneodo(parameters, orders, TSim, Y0)

[T, Y]=FOChen(parameters, orders, TSim, Y0)

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updated 3 years ago

Digital Fractional Order Differentiator/integrator - FIR type. by Ivo Petras

Ivo Petras (view profile)

General FIR digital differentiator/integrator. (filter design, filter analysis, fractional calculus)

sysdfod=dfod2(n,T,r)

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updated 3 years ago

Digital Fractional Order Differentiator/integrator - IIR type by Ivo Petras

Ivo Petras (view profile)

General IIR digital differentiator/integrator. (filter design, filter analysis, fractional calculus)

sysdfod=dfod1(n,T,a,r)

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updated 3 years ago

Discrete Fractional-Order PID Controller by Ivo Petras

Ivo Petras (view profile)

Provides a transfer function of the fractional-order PID controller for given parameters. (pid, fractional controller, noninteger order cont...)

DFOC(K, Ti, Td, m, d, Ts, n, method)

requireFEXpackage(FEXSubmissionID)

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updated 3 years ago

Fractional Order Darwinian Particle Swarm Optimization by Micael Couceiro

Micael Couceiro (view profile)

MatLab function for FDPSO (Fractional Order Darwinian Particle Swarm Optimization) (pso, darwinian, fractional calculus)

FDPSO.m

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updated 5 years ago

Variable Order Derivatives by Duarte Valério

Functions for implementing fractional or complex order derivatives, when the order changes with time (fractional calculus, fractional derivative..., fractional control)

croneFD(alpha, wl, wh, N)

findfreqresp(in)

findfreqresp(in)

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updated 5 years ago

Impulse response invariant discretization of distributed order low-pass filter by HU SHENG

HU SHENG (view profile)

Compute a discrete-time transfer function to approximate a distributed order low pass filter. (distributed order low..., fractional calculus, fractional signal pro...)

[sr]=irid_dolpf(Ts,a,b,c,p,q)

y=integrand_dolpf(a,b,lambdac,t,x)

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updated 5 years ago

Impulse response invariant discretization of fractional second order filter. by HU SHENG

HU SHENG (view profile)

The function compute a discrete-time transfer function to fractional second order low-pass filter. (fractional second ord..., fractional calculus, fractional system)

[sr]=irid_fsof(Ts,a,b,r,norder)

integration2(x,a,b,gamma,t)

y=imconvolution(reroot,imroot,gammac,tau,t)

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updated 6 years ago

Matrix approach to discretization of ODEs and PDEs of arbitrary real order by Igor Podlubny

Igor Podlubny (view profile)

Functions illustrating matrix approach to discretization of ODEs / PDEs with fractional derivatives. (mathematics, fractional differenti..., differential)

Matrix approach to discretization of ODEs and PDEs of arb...

bagleytorvikequation(A,B,C)

ban(alpha,N,h)

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updated almost 7 years ago

Impulse response invariant discretization of fractional order low-pass filters by YangQuan Chen

Discretize [1/(\tau s +1)]^r with "r" a real number (filter design, filter analysis, fractional calculus)

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updated almost 7 years ago

Step response invariant discretization of fractional order integrators/differentiators by YangQuan Chen

Compute a discrete-time finite dimensional (z) transfer function to approximate s^r, r = real number (filter design, filter analysis, fractional calculus)

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updated almost 7 years ago

Impulse response invariant discretization of fractional order integrators/differentiators by YangQuan Chen

compute a discrete-time finite dimensional (z) transfer function to approximate s^r, r is real numbe (filter design, filter analysis, fractional calculus)

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updated 7 years ago

Generalized Mittag-Leffler function by YangQuan Chen

Computes generalized Mittag-Leffler function (fractional calculus, special function, mittagleffer function)

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updated 7 years ago

Mittag-Leffler function, M-file, cmex DLL, and S-function by Shayok Mukhopadhyay

Mittag-Leffler function, M-file, cmex DLL, and S-function (mittag leffler, fractional calculus, mfile)

f=ml_fun(a,b,x,n,eps0)

param.m

example

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updated 7 years ago

ninteger by Duarte Valério

Toolbox to help developing fractional order controllers and assess their performance. (fractional calculus, fractional control, fractional plants)

bodeFr.m

carlson.m

contfrac (x, n)

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