Analytic solution of fractional order differential equation arising in RLC electrical circuit
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DOI:
https://doi.org/10.26637/MJM0802/0016Abstract
In this paper, we obtain the analytical solution of a non-integer order differential equation which is associated with a RLC electrical circuit. The order of fractional differential equation depends upon \(\alpha\) and \(\beta\), where \(\alpha \in(1,2]\) and \(\beta \in(0,1]\). Further, we use Elzaki transform with its different properties to obtain the solution of fractional differential equation and obtain the solution in terms of three parameter Mittag-Leffler function. In the last, we have presented an example to show effectiveness of Elzaki transform in solving electrical circuit problems.
Keywords:
Model of RLC circuit, non-integer order differential equation, Elzaki transform, Mittag-Leffler function.Mathematics Subject Classification:
Mathematics- Pages: 421-426
- Date Published: 01-04-2020
- Vol. 8 No. 02 (2020): Malaya Journal of Matematik (MJM)
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