Fractional-Order in RC, RL and RLC Circuits

2018 ◽  
pp. 658-666
Author(s):  
Yang Chen ◽  
Guang-yuan Zhao
Keyword(s):  
Fractional Order ◽  
Rlc Circuits

scholarly journals Stability Analysis Of Delayed Fractional Integro-Differential Equations With Applications Of RLC Circuits

2020 ◽  
Vol 26 (1) ◽  
pp. 74-100
Author(s):  
Mohamed El-Borhamy ◽  
Alaa Ahmed
Keyword(s):  
Stability Analysis ◽  
Fractional Order ◽  
Analytical Solutions ◽  
Critical Frequency ◽  
Approximation Techniques ◽  
Characteristic Exponents ◽  
Rlc Circuit ◽  
The Stability ◽  
Rlc Circuits ◽  
The Impact

 This article presents the stability analysis of delay integro-differentialequations with fractional order derivative via some approximation techniques forthe derived nonlinear terms of characteristic exponents. Based on these techniques,the existence of some analytical solutions at the neighborhood of their equilibriumpoints is proved. Stability charts are constructed and so both of the critical timedelay and critical frequency formulae are obtained. The impact of this work into thegeneral RLC circuit applications exposing the delay and fractional order derivativesis discussed.

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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