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2018•Journal of Statistics and Management SystemsRequires access

Analytic solutions of fractional differential equation associated with RLC electrical circuit

Vinod Gill, Kanak Modi, Yudhveer Singh

Open publisher page 31 citations

Abstract

In the present article, we derived the solution of a fractional differential equation associated with a RLC electrical circuit with order 1 < a ≤ 2 and 1 < b ≤ 1. The Sumudu transform technique is used to derive the solution. The results are derived here new and compact forms in terms of the generalized Mittag-Leffler function, which are suitable for numerical computation.

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What this paper is about

In the present article, we derived the solution of a fractional differential equation associated with a RLC electrical circuit with order 1 < a ≤ 2 and 1 < b ≤ 1. The Sumudu transform technique is used to derive the solution. The results are derived here new and compact forms in terms of the generalized Mittag-Leffler function, which are suitable for numerical computation.

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OpenAlex reports 31 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

In the present article, we derived the solution of a fractional differential equation associated with a RLC electrical circuit with order 1 < a ≤ 2 and 1 < b ≤ 1. The Sumudu transform technique is used to derive the solution. The results are derived here new and compact forms in terms of the generalized Mittag-Leffler function, which are suitable for numerical computation.

Key concepts: RLC circuit, Computation, Mathematics, Order (exchange), Electrical network, Function (biology), Applied mathematics, Mathematical analysis

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