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

#### Abstract

This article presents the stability analysis of delay integro-differential

equations with fractional order derivative via some approximation techniques for

the derived nonlinear terms of characteristic exponents. Based on these techniques,

the existence of some analytical solutions at the neighborhood of their equilibrium

points is proved. Stability charts are constructed and so both of the critical time

delay and critical frequency formulae are obtained. The impact of this work into the

general RLC circuit applications exposing the delay and fractional order derivatives

is discussed.

#### Full Text:

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DOI: https://doi.org/10.22342/jims.26.1.795.74-100

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