Analytic solutions of fractional differential equation associated with RLC electrical circuit

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.

Subject Classification:

• (2010) 00A71
• 34A08

Keywords:

• Electrical circuit
• fractional differential equation
• generalized Mittag-Leffler function
• Sumudu transform