## Order composition properties for output-additive variable-order derivative.(English)Zbl 1426.26017

Babiarz, Artur (ed.) et al., Theory and applications of non-integer order systems. Papers of the 8th conference on non-integer order calculus and its applications, Zakopane, Poland, September 20–21, 2016. Cham: Springer. Lect. Notes Electr. Eng. 407, 57-64 (2017).
Summary: The paper presents, composition properties of output-additive switching scheme with fractional constant-order differ-integral. It has been shown that composition property is not commutative and depends on the sequence of composition. Considering switching scheme corresponding to particular type of fractional variable-order definition (so-called $$\mathcal{E}$$-type). Next, the numerical results of composition properties have been shown.
For the entire collection see [Zbl 1414.93003].

### MSC:

 26A33 Fractional derivatives and integrals

### Keywords:

fractional calculus; variable order derivative

### Software:

Fractional Variable Order Derivative Simulink
Full Text:

### References:

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