Analytic Solution for the RL Electric Circuit Model in Fractional Order. (16th June 2014)

• Record Type: Journal Article
• Authors: Shah, P. V.; Patel, A. D.; Salehbhai, I. A.; Shukla, A. K.
• Other Names: Salahshour Soheil Academic Editor.
• Is Part Of: Abstract and applied analysis. Volume 2014(2014)
• Publication Date: 2014-06-16
• Subjects: Mathematical analysis -- Periodicals; Mathematical analysis; Applied Mathematics; Mathematical Analysis; Periodicals; 515.05
• DOI: 10.1155/2014/343814
• Languages: English
• ISSNs: 1085-3375

Abstract

Abstract : This paper provides an analytic solution of R L electrical circuit described by a fractional differential equation of the order 0 < α ≤ 1 . We use the Laplace transform of the fractional derivative in the Caputo sense. Some special cases for the different source terms have also been discussed.