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Submitted
January 5, 2019
Accepted
July 3, 2019
Published
March 1, 2020
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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.

Article Details

Author Biographies

Mohamed El-Borhamy, Faculty of Engineering - Tanta University

Assistant Professor

Department of Mathematics

Faculty of Engineering

Tanta university

Egypt

Alaa Ahmed, Faculty of Engineering Tanta university

M.Sc. Student

Engineering Physics and Mathematics

 

How to Cite
El-Borhamy, M., & Ahmed, A. (2020). Stability Analysis Of Delayed Fractional Integro-Differential Equations With Applications Of RLC Circuits. Journal of the Indonesian Mathematical Society, 26(1), 74–100. https://doi.org/10.22342/jims.26.1.795.74-100
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