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El-Borhamy, Mohamed
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Mathematics

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Stability Analysis Of Delayed Fractional Integro-Differential Equations With Applications Of RLC Circuits El-Borhamy, Mohamed; Ahmed, Alaa
Journal of the Indonesian Mathematical Society Volume 26 Number 1 (March 2020)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.26.1.795.74-100

Abstract

 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.
Co-Authors Ahmed, Alaa