Passive approximations of double‐exponent fractional‐order impedance functions

2021 ◽  
Vol 49 (5) ◽  
pp. 1274-1284
Author(s):  
Stavroula Kapoulea ◽  
Costas Psychalinos ◽  
Ahmed S. Elwakil
Keyword(s):  
Fractional Order ◽  
Impedance Functions

Synthesis of Fractional-Order Biquadratic Immittance Functions

2019 ◽  
Vol 28 (11) ◽  
pp. 1950187
Author(s):  
Guishu Liang ◽  
Xiaoyan Huo
Keyword(s):  
System Theory ◽  
Fractional Order ◽  
Network Synthesis ◽  
Fractional Order Calculus ◽  
Integer Order ◽  
Passive Network ◽  
Passive Networks ◽  
Circuit And System ◽  
Impedance Functions

Passive network synthesis, as an important part of circuit and system theory, has been well developed in integer-order circuits. With the development of fractional-order calculus and fractional-order elements, the problem of using fractional-order passive networks to realize fractional-order immittance functions has drawn much attention. In this paper, the realization of a fractional-order biquadratic immittance function is considered. First, the form of a fractional-order biquadratic function and some theorems that could promote later research are introduced. Second, a detailed study for the realization of a fractional-order biquadratic immittance function is shown. Finally, through summarizing the realizability conditions of each network, we have obtained the scope of fractional biquadratic impedance functions that can be realized by this paper.

Stability in a Discrete Fractional Order Prey Predator System with Functional Response

2017 ◽  
Vol 7 (5) ◽  
pp. 630-633 ◽  
Author(s):  
A. George Maria Selvam ◽  
◽  
R. Janagaraj ◽  
Britto Jacob. S ◽  
◽  
...  
Keyword(s):  
Functional Response ◽  
Fractional Order ◽  
Predator System

The properties of Bessel-type fractional derivatives and integrals

2016 ◽  
pp. 3973-3982
Author(s):  
V. R. Lakshmi Gorty
Keyword(s):  
Fractional Order ◽  
Real Line ◽  
Computer Algebra System ◽  
Fractional Derivatives ◽  
Graphical Representation ◽  
Fractional Integrals ◽  
The Real ◽  
Fractional Derivatives And Integrals ◽  
Half Axis ◽  
Derivatives Of

The fractional integrals of Bessel-type Fractional Integrals from left-sided and right-sided integrals of fractional order is established on finite and infinite interval of the real-line, half axis and real axis. The Bessel-type fractional derivatives are also established. The properties of Fractional derivatives and integrals are studied. The fractional derivatives of Bessel-type of fractional order on finite of the real-line are studied by graphical representation. Results are direct output of the computer algebra system coded from MATLAB R2011b.

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