A study of fractional electrical engineering problems via the Shehu transform

  • Changdev Jadhav
  • , Vaijanath L. Chinchane
  • , Asha B. Nale
  • , Tanisha B. Dale
  • , Sabri T.M. Thabet
  • , Imed Kedim

Research output: Contribution to journalArticlepeer-review

Abstract

This paper investigates fractional differential equations using integral transforms, with a particular focus on various generalized fractional derivatives (FDs) in the analysis of (Formula presented.) circuit systems. It introduces a generalized transform based on the Shehu transform (Sh.T) to derive analytical solutions for these electrical circuits. Compared to classical differential equations, the proposed method provides a more accurate representation of electrical circuit behaviour.

Original languageEnglish
Article number2583565
JournalResearch in Mathematics
Volume12
Issue number1
DOIs
StatePublished - 2025

Keywords

  • Caputo fractional derivative
  • Mittag-Leffler function
  • generalized integral transform
  • regularized version of Hilfer fractional derivative
  • regularized version of Prabhakar derivative

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